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Quantity in solid state thermodynamics
The Fermi level of a solid-state body is the thermodynamic work required to add one electron to the body. It is a thermodynamic quantity usually denoted
Fermi_level
Term used in quantum mechanics
A quasi Fermi level is a term used in quantum mechanics and especially in solid state physics for the Fermi level (chemical potential of electrons) that
Quasi_Fermi_level
Highest particle energy in a Fermi gas at absolute zero
the Fermi level and Fermi energy, at least as they are used in this article: The Fermi energy is only defined at absolute zero, while the Fermi level is
Fermi_energy
Statistical description for the behavior of fermions
Fermi–Dirac statistics is a type of quantum statistics that applies to the physics of a system consisting of many non-interacting, identical particles
Fermi–Dirac_statistics
Electron energy bands which determine the electrical conductivity of a material
physics, the valence band and conduction band are the bands closest to the Fermi level, and thus determine the electrical conductivity of the solid. In nonmetals
Valence_and_conduction_bands
Intentional introduction of impurities into an intrinsic semiconductor
denoted x. The Fermi level is also usually indicated in the diagram. Sometimes the intrinsic Fermi level, Ei, which is the Fermi level in the absence
Doping_(semiconductor)
Type of electrical junction
referred to as "Fermi level pinning" caused some point of the band gap, at which finite DOS exists, to be locked (pinned) to the Fermi level. This made the
Metal–semiconductor_junction
Abstract boundary in condensed matter physics
In condensed matter physics, the Fermi surface is the surface in reciprocal space which separates occupied electron states from unoccupied electron states
Fermi_surface
Describes the range of energies of an electron within the solid
potential of electrons, or Fermi level (in semiconductor physics, this quantity is more often denoted EF). The Fermi level of a solid is directly related
Electronic_band_structure
Model of electrons within a metallic solid
Sommerfeld, who combined the classical Drude model with quantum mechanical Fermi–Dirac statistics and hence it is also known as the Drude–Sommerfeld model
Free_electron_model
Type of field-effect transistor
Intrinsic level will start to cross the Fermi level and when the voltage reaches the threshold voltage, the intrinsic level does cross the Fermi level, and
MOSFET
Measure of a substance's ability to resist or conduct electric current
The characteristic energy level up to which the electrons have filled is called the Fermi level. The position of the Fermi level with respect to the band
Electrical resistivity and conductivity
Electrical_resistivity_and_conductivity
Material of moderate electrical conductivity
states with energies near their Fermi level. Insulators, by contrast, have few partially filled states, their Fermi levels sit within band gaps with few
Semiconductor
Type of material
properties are all associated with having electrons available at the Fermi level, as opposed to nonmetallic materials which do not. Metals are typically
Metal
Diagram plotting electron energy levels
a band diagram is a diagram plotting various key electron energy levels (Fermi level and nearby energy band edges) as a function of some spatial dimension
Band_diagram
Repulsive force in quantum mechanics
degenerate energy levels, but to Fermi–Dirac statistics close to the zero-temperature limit (temperatures much lower than the Fermi temperature, which
Electron_degeneracy_pressure
Physical model of non-interacting fermions
A Fermi gas is an idealized model, an ensemble of many non-interacting fermions. Fermions are particles that obey Fermi–Dirac statistics, like electrons
Fermi_gas
Concept in condensed matter physics
e^{2}{\frac {\partial n}{\partial \mu }},} where μ is the chemical potential (Fermi level), n is the electron concentration and e is the elementary charge. For
Thomas–Fermi_screening
Phenomenon observed in semiconductors
conduction band which pushes the Fermi level to higher energy. In the case of degenerate level of doping, the Fermi level lies inside the conduction band
Moss–Burstein_effect
Electromagnetic effect in physics
remains constant when the Fermi level is in a clean spectral gap, this situation corresponds to one where the Fermi level is an energy with a finite
Quantum_Hall_effect
Potential energy barrier in metal–semiconductor junctions
electrons tends to pin the center of the band gap to the Fermi level, an effect known as Fermi level pinning. Thus the heights of the Schottky barriers in
Schottky_barrier
Electrical engineering equation
between the quasi-Fermi level of the holes at the junction and that of the electrons at the junction, the drop of the quasi-Fermi level of the electrons
Shockley_diode_equation
How the term nonmetal is used in many disciplines
the energy levels of the electrons at the Fermi level. In contrast, a metal would have at least one partially occupied band at the Fermi level; in a semiconductor
Nonmetallic_material
Imaging Instrument
bring an electron from an occupied level, the highest of which is the Fermi level (for metals at T = 0 K), to vacuum level. The electrons can tunnel between
Scanning_tunneling_microscope
Semiconductor diode based upon the p–n junction
are short-circuited, the Fermi half-occupancy level (dashed horizontal straight line) is situated at a constant level. This level ensures that in the field-free
P–n_diode
Type of energy
electrostatic potential in the vacuum nearby the surface, and EF is the Fermi level (electrochemical potential of electrons) inside the material. The term
Work_function
Phenomenon involving the change of conductivity in metallic layers
random orientations. For good conductors such as gold or copper, the Fermi level lies within the sp band, and the d band is completely filled. In ferromagnets
Giant_magnetoresistance
Microscopic theory of superconductivity
key background to BCS theory as follows: Evidence of a band gap at the Fermi level (described as "a key piece in the puzzle") the existence of a critical
BCS_theory
Discrepancy of the lack of evidence for alien life despite its apparent likelihood
The Fermi paradox is the term for the apparent gap between the lack of conclusive evidence of extraterrestrial civilizations and the apparently high likelihood
Fermi_paradox
Term in semiconductor electrochemistry
electrode. In solid junctions, we can take as a reference the metal Fermi level, if the work function is known, which provides a full energy diagram
Mott–Schottky_plot
Simple model of topological insulator
the bands do not touch, there is a band gap. If the gap lies at the Fermi level, then the system is considered to be an insulator. The tight binding
Su–Schrieffer–Heeger_model
Physical phenomenon of electronic band structures
semiconductor Fermi level and increasing that of the metal. Under equilibrium the work function difference vanishes and the Fermi levels align across the
Band_bending
Metal with a small negative indirect band-gap
small density of states at the Fermi level. A metal, by contrast, has an appreciable density of states at the Fermi level because the conduction band is
Semimetal
Italian-American physicist (1901–1954)
Enrico Fermi (Italian: [enˈriːko ˈfermi]; 29 September 1901 – 28 November 1954) was an Italian-American physicist, renowned for being the creator of the
Enrico_Fermi
Semiconductor-electrolyte junction potential
consequence of the condition that the redox Fermi level of the electrolyte must be equal to the Fermi level of the semiconductor and therefore preventing
Flat_band_potential
Category of chemical elements
the energy levels of the electrons at the Fermi level. In contrast, a metal would have at least one partially occupied band at the Fermi level; in a semiconductor
Nonmetal
Different states of quantum systems
energy levels in a crystal are the top of the valence band, the bottom of the conduction band, the Fermi level, the vacuum level, and the energy levels of
Energy_level
GPU microarchitecture by Nvidia
receives support for Microsoft's rendering API Direct3D 12 feature_level 11. Fermi was followed by Kepler, and used alongside Kepler in the GeForce 600
Fermi_(microarchitecture)
Noncontact variant of atomic force microscopy
of the higher to the lower Fermi level. This electron flow causes the equilibration of the probe and sample Fermi levels. Furthermore, a surface charge
Kelvin_probe_force_microscope
Number of available physical states per energy unit
atom results in a half-filled top band; there are free electrons at the Fermi level resulting in a metal. On the other hand, an even number of electrons
Density_of_states
Measure of voltage induced by change of temperature
field effect. In semiconductors at low levels of doping, transport only occurs far away from the Fermi level. At low doping in the conduction band (where
Seebeck_coefficient
Experimental technique to determine the distribution of electrons in solids
material's Fermi level, which can be read off of an ARPES spectrum. The work function is the difference between the Fermi level and the vacuum level where
Angle-resolved photoemission spectroscopy
Angle-resolved_photoemission_spectroscopy
Energy release on formation of anions
analogy does not hold since an added electron will instead go to the Fermi level on average. In any case, the value of the electron affinity of a solid
Electron_affinity
Change in energies of a thermodynamic system with respect to particle number
physics, the chemical potential of a system of electrons is known as the Fermi level. Particles tend to move from higher chemical potential to lower chemical
Chemical_potential
Quantum effect in some non-metals
and topological insulators. In these materials, at energies near the Fermi level, the valence band and conduction band take the shape of the upper and
Dirac_cone
Emission of electrons induced by an electrostatic field
Fowler–Nordheim tunneling from electron states close to the emitter Fermi level. (By contrast, in the Schottky emission regime, most electrons escape
Field_electron_emission
Spectroscopic technique
is the binding energy of the electron measured relative to the sample Fermi level, Ephoton is the energy of the X-ray photons being used, Ekinetic is the
X-ray photoelectron spectroscopy
X-ray_photoelectron_spectroscopy
State at which a Fermi surface has a partial energy gap in condensed matter physics
Nevill Mott in 1968 to indicate a minimum in the density of states at the Fermi level, N(EF), resulting from Coulomb repulsion between electrons in the same
Pseudogap
Phenomenon in solid-state physics of semiconductors
by the Fermi level and the temperature of the electrons. At absolute zero temperature, all of the electrons have energy below the Fermi level; but at
Carrier generation and recombination
Carrier_generation_and_recombination
Effect in electrochemistry
will flow from the metal with the higher Fermi level to the metal with the lower Fermi level until the Fermi levels in the two phases are equal. Once this
Volta_potential
of only two atomic layers, exhibits complete spin polarization at the Fermi level, as demonstrated by momentum and spin-resolved photoelectron spectroscopy
Half-metal
Fermi energy Fermi's four factor formula Fermi gas Fermi's interaction, an explanation of the beta decay Fermi level Fermi liquid theory Quasi Fermi level
List of things named after Enrico Fermi
List_of_things_named_after_Enrico_Fermi
Electrical action produced by a non-electrical source
often expressed as a difference in Fermi levels in the two solids when they are at charge neutrality, where the Fermi level (a name for the chemical potential
Electromotive_force
Proposed superconducting material
Alexandru Georgescu at Indiana University did not find flat bands at Fermi level, concluding that they related to an unfavored high-symmetry structure
LK-99
there. The voltage measured is equal to the difference in the quasi Fermi levels of the majority carriers (electrons in the n-type portion and holes in
Theory_of_solar_cells
Type of chemical bond in metals
three-dimensional k-space, the set of points of the highest filled levels (the Fermi surface) should therefore be a sphere. In the nearly-free model, box-like
Metallic_bonding
Semiconductor that has been doped
n-type silicon is phosphorus or arsenic. In an n-type semiconductor, the Fermi level is greater than that of the intrinsic semiconductor and lies closer to
Extrinsic_semiconductor
Chemical element with atomic number 14 (Si)
its highest occupied energy levels (the valence band) and the lowest unoccupied ones (the conduction band). The Fermi level is about halfway between the
Silicon
Mass of a particle when interacting with other particles
effect, etc.) are restricted to only probe motion for energies near the Fermi level. In two-dimensional electron gases, the cyclotron effective mass is defined
Effective mass (solid-state physics)
Effective_mass_(solid-state_physics)
Type of X-ray absorption spectrometry requiring a synchrotron radiation facility
metals, the photoelectron is excited to the first unoccupied level above the Fermi level. Therefore, its mean free path in a pure single crystal at zero
X-ray absorption near edge structure
X-ray_absorption_near_edge_structure
Experiments used to map the Fermi surface
the Landau levels to pass over the Fermi surface, which in turn results in oscillations of the electronic density of states at the Fermi level; this produces
Quantum_oscillations
Relativistic interaction in quantum physics
a relatively more important role if we zoom in to bands close to the Fermi level ( E F {\displaystyle E_{\text{F}}} ). The atomic L ⋅ S {\displaystyle
Spin–orbit_interaction
Nuclear shell model
In an odd, well-deformed nucleus, the single-particle levels are filled up to the Fermi level, and the odd particle's Ω and parity give the spin and
Nilsson_model
Applied electric field conductivity change
situation: below this Fermi level the states are more likely to be occupied, the conduction band moves closer to the Fermi level, indicating more electrons
Field_effect_(semiconductor)
Phenomenon in condensed matter physics
surface. Without the field, the surface barrier seen by an escaping Fermi-level electron has height W equal to the local work-function. The electric
Schottky_effect
Statistical ensemble of particles in thermodynamic equilibrium
band edge ϵC plays the role of the vacuum energy level (replacing −qϕ), and µ is known as the Fermi level. Of course, the ionization energy and electron
Grand_canonical_ensemble
Entropy of a system attributable to electrons' probabilistic occupation of states
thermodynamics of condensed phases, where the density of states at the Fermi level can be quite large, and the electronic entropy can thus contribute substantially
Electronic_entropy
low-dimensional materials or in metals that have high densities of states at the Fermi level N ( E F ) {\displaystyle N(E_{F})} . Other low-temperature ground states
Spin_density_wave
Type of electrical contact to semiconductors
electrons tends to pin the center of the band gap to the Fermi level, an effect known as Fermi level pinning. Thus, the heights of the Schottky barriers in
Ohmic_contact
Equation in solid-state physics
where Ec is the energy of the conduction band, EF is the energy of the Fermi level, kB is the Boltzmann constant, T is the absolute temperature in kelvins
Mass_action_law_(electronics)
Proposed state of matter in semiconductors
system behaves like an ordinary insulator and does not conduct when the Fermi level resides in the band-gap. When the sheet of HgTe is varied and made thicker
Quantum_spin_Hall_effect
to align close to the interface. This is done to ensure that the Fermi energy level stays continuous throughout the two semiconductors. This alignment
Band_offset
Difference in electric potential between two points in space
negative of the difference of the electrochemical potential of electrons (Fermi level) divided by the electron charge and commonly referred to as the voltage
Voltage
Screening phenomenon in metals
perturbations in a metallic or semiconductor system caused by a defect in the Fermi gas or Fermi liquid. Friedel oscillations are a quantum mechanical analog to electric
Friedel_oscillations
Superconductive behavior at temperatures much higher than absolute zero
increased Tc resulting from two separate bands being present at the Fermi level. In 1991 Hebard et al. discovered Fulleride superconductors, where alkali-metal
High-temperature superconductivity
High-temperature_superconductivity
Continuum of a physical particle-based quantity
"non-smooth" single-particle spectrum is a piece of evidence (proof) that the Fermi level exists. The spectrum are particles that are in space: "the single particle
Single-particle_spectrum
Tunneling diode
confined state between the potential barriers gets closer to the source Fermi level, so the current it carries increases. As the bias increases further,
Resonant-tunneling_diode
Form of diode
applied, the Fermi level in the cathode moves into the third band, and reflections of ballistic electrons starting around the Fermi level are minimized
Gunn_diode
Type of field-effect transistor
the energy difference of metal conducting band and the semiconductor Fermi level. Therefore, a higher concentration of holes is formed on the interface
Organic field-effect transistor
Organic_field-effect_transistor
Condensed matter system
mediates an out-of-plane π-bond that leads to the electronic bands at the Fermi level. The unique transport properties and the semimetallic state of graphene
Dirac_matter
Intensive physical property of substances
voltmeters. The electron electrochemical potential is also known as the Fermi level of solid-state physics. In generic terms, electrochemical potential is
Electrochemical_potential
must match that of an electron in the metal at the interface. Since the Fermi levels of the two materials must match at the interface, there exists gap states
Metal-induced_gap_states
Point defect in diamonds
NV−, exist. The NV0 centers can be converted into NV− by changing the Fermi level position with an external voltage (see § Net charge). On the one hand
Nitrogen-vacancy_center
ferromagnetism. In the Stoner model, a high density of states at the Fermi level makes the nonmagnetic state unstable. In SP calculations of covalent
Colossal_magnetoresistance
Emission of electrons when electromagnetic radiation hits a material
kinetic energy. In metals, those electrons will be emitted from the Fermi level. When the photoelectron is emitted into a solid rather than into a vacuum
Photoelectric_effect
State of an immobilized atom in chemistry
difference in surface and bulk Fermi level causes surface band bending and the abundancy of surface states pins the Fermi level. For the compound semiconductor
Dangling_bond
Synchrotron radiation-based spectroscopy
by the transition to the lowest unoccupied states: the states at the Fermi level in metals giving a "rising edge" with an arc tangent shape; the bound
X-ray_absorption_spectroscopy
Direct conversion of temperature differences to electric voltage and vice versa
/ e {\displaystyle V=-\mu /e} , where μ {\displaystyle \mu } is the Fermi level. Peltier (1834). "Nouvelles expériences sur la caloricité des courants
Thermoelectric_effect
Estimation problem in physics or engineering
A Fermi problem (or Fermi question, Fermi quiz), also known as an order-of-magnitude problem, is an estimation problem in physics or engineering education
Fermi_problem
Hypothesis of barriers to forming interstellar civilizations
life exceedingly rare. The Great Filter is one possible resolution of the Fermi paradox. The main conclusion of the Great Filter is that there is an inverse
Great_Filter
Thermodynamic potential used in statistical mechanics
University of Manchester. Retrieved 5 December 2016. Brachman, M. K. (1954). "Fermi Level, Chemical Potential, and Gibbs Free Energy". The Journal of Chemical
Grand_potential
Topics referred to by the same term
field, in physics Exafarad, an SI unit of electric capacitance Fermi energy or Fermi level (EF), both concepts in quantum mechanics Ecological footprint
EF
Technique for characterizing semiconductor materials and devices
is applied to the metal, the valence band edge is driven far from the Fermi level, and holes from the body are driven away from the gate, resulting in
Capacitance–voltage_profiling
Weak, attractive magnetism possessed by most elements and some compounds
magnetic potential energy for spin-up and spin-down electrons. Since the Fermi level must be identical for both bands, this means that there will be a small
Paramagnetism
Measure of the tendency of a substance to gain or lose electrons
portal Electrochemical potential Electrolytic cell Electromotive force Fermi level Galvanic cell Oxygen radical absorbance capacity Redox gradient Solvated
Reduction_potential
Continuous probability distribution
to electron transport. Those energy levels whose energies are closest to the distribution's "mean" (Fermi level) dominate processes such as electronic
Logistic_distribution
Variation of threshold voltage in polycrystalline silicon materials
forms an SiOx layer. Moreover, there remains a high probability for Fermi level pinning to occur. So the effect with doped poly is an undesired reduction
Polysilicon_depletion_effect
Allotrope of carbon
and valence bands meet in a linear fashion at a single point in the Fermi level. The advantage of this scheme is that electrons behave as if they have
Graphyne
Transition rate formula
In quantum physics, Fermi's golden rule is a formula that describes the transition rate (the probability of a transition per unit time) from one energy
Fermi's_golden_rule
Chemical reaction with gold
on the position of the d-band center such that a d-band closer to the Fermi level ( E F {\displaystyle E_{\mathrm {F} }} ) will result in stronger interaction
Heterogeneous_gold_catalysis
FERMI LEVEL
FERMI LEVEL
Surname or Lastname
Irish
Irish : reduced Anglicized form of Gaelic Ó Fearadhaigh ‘descendant of Fearadhach’, a personal name of uncertain origin, probably an adjective derivative of fear ‘man’.English : metonymic occupational name for a ferryman, or a topographic name for someone who lived by a ferry crossing on a river. Middle English feri ‘ferry’ is from Old Norse ferja ‘ferry’, ultimately cognate with the Old English verb ferian ‘to carry’.
Girl/Female
Egyptian
Love.
Male
Spanish
Spanish form of Latin Firminus, FERMÃN means "firm, steadfast."
Girl/Female
Indian
Materialistic knowledge, Top level of intelligence
Surname or Lastname
English
English : from a late Old English personal name Lēofweald, composed of the elements lēof ‘dear’, ‘beloved’ + weald ‘power’, ‘rule’.French : variant spelling of Level.
Girl/Female
Tamil
Materialistic knowledge, Top level of intelligence
Girl/Female
Indian
Materialistic knowledge, Top level of intelligence
Female
African
God loves me.
Girl/Female
Tamil
Materialistic knowledge, Top level of intelligence
Boy/Male
Muslim
Kindness, Beneficence, Highest level of Iman
Boy/Male
Hindu
Kindness, Beneficence, Highest level of Iman
Girl/Female
Muslim
Intelligent, Level headed
Boy/Male
Australian, Basque, British, English, French, Latin, Spanish
Strong
Boy/Male
Latin
Free.
Surname or Lastname
English (chiefly East Anglia)
English (chiefly East Anglia) : topographic name for someone who lived on a flat, a patch of level or low-lying ground (Old Norse flat, flǫt).South German : variant of Flath 2.
Surname or Lastname
English (Berkshire)
English (Berkshire) : topographic name for someone who lived on a flat, a patch of level or low-lying ground (see Flatt).
Boy/Male
Muslim
Instrument to level something
Boy/Male
African, Australian, Nigerian
God Loves Me
Male
Hungarian
Pet form of Hungarian Ferenc, FERI means "French."
Surname or Lastname
English
English : occupational name from Middle English, Old French ferm(i)er (Late Latin firmarius). The term denoted in the first instance a tax farmer, one who undertook the collection of taxes, revenues, and imposts, paying a fixed (Latin firmus) sum for the proceeds, and only secondarily someone who rented land for the purpose of cultivation; it was not applied to an owner of cultivated land before the 17th century.Irish : Anglicized (part translated) form of Gaelic Mac an Scolóige ‘son of the husbandman’, a rare surname of northern and western Ireland.
FERMI LEVEL
FERMI LEVEL
Girl/Female
Hebrew
Tune.
Girl/Female
American, British, Christian, English, Hebrew, Latin
Beautiful Seacoast; Light; Golden; Prayerful; Breeze
Boy/Male
Hindu
Ever lasting
Boy/Male
Tamil
King bharats son, Eyes like a pigeon
Girl/Female
Afghan, American, Christian, Greek, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Parsi, Tamil, Telugu
Noble; Utterly Pure
Surname or Lastname
English (Durham)
English (Durham) : probably a variant spelling of Irish Crumley.
Girl/Female
Tamil
Gift of Love
Boy/Male
Hindu, Indian
Horizon on East and West
Surname or Lastname
English
English : occupational name for a keeper of swine, Middle English foreman, from Old English fÅr ‘hog’, ‘pig’ + mann ‘man’.English : status name for a leader or spokesman for a group, from Old English fore ‘before’, ‘in front’ + mann ‘man’. The word is attested in this sense from the 15th century, but is not used specifically for the leader of a gang of workers before the late 16th century.Czech and Jewish (from Bohemia, Moravia) : occupational name for a carter, Czech forman, a loanword from German.
Boy/Male
British, English
Danish Elf
FERMI LEVEL
FERMI LEVEL
FERMI LEVEL
FERMI LEVEL
FERMI LEVEL
n.
The state or quality of being level.
n.
The art or operation of using a leveling instrument for finding a horizontal line, for ascertaining the differences of level between different points of the earth's surface included in a survey, for establishing grades, etc., as in finding the descent of a river, or locating a line of railroad.
n.
Rent for a farm; a farm; also, an abode; a place of residence; as, he let his land to ferm.
n.
One who, or that which, levels.
n.
Alt. of Ferme
v. t.
To bring to a lower level; to overthrow; to topple down; to reduce to a flat surface; to lower.
v. t.
To adjust or adapt to a certain level; as, to level remarks to the capacity of children.
n.
The disposition or endeavor to level all distinctions of rank in society.
n.
A variety of aragonite, occuring in delicate white coralloidal forms; -- common in beds of iron ore.
n.
The act or operation of making level.
adv.
In an even or level manner.
n.
To form grains, or to assume a granular ferm, as the result of crystallization; to granulate.
v. t.
Figuratively, to bring to a common level or plane, in respect of rank, condition, character, privilege, etc.; as, to level all the ranks and conditions of men.
n.
The setting of note against note in harmony; the adding of one or more parts to a given canto fermo or melody
v. i.
To be level; to be on a level with, or on an equality with, something; hence, to accord; to agree; to suit.
v. t.
To make level; to make horizontal; to bring to the condition of a level line or surface; hence, to make flat or even; as, to level a road, a walk, or a garden.