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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
Property of the Fermi surface in condensed matter physics
Fermi surface nesting is a phenomenon in condensed matter physics in which two or more approximately parallel sections of a Fermi surface can be mapped
Fermi_surface_nesting
Superconductive behavior at temperatures much higher than absolute zero
cuprates – making the superconductivity unconventional. Recent work on the Fermi surface has shown that nesting occurs at four points in the antiferromagnetic
High-temperature superconductivity
High-temperature_superconductivity
Theoretical model in physics
Fermi liquid theory (also known as Landau's Fermi-liquid theory) is a theoretical model of interacting fermions that describes the normal state of the
Fermi_liquid_theory
Highest particle energy in a Fermi gas at absolute zero
respectively the momentum and group velocity of a fermion at the Fermi surface. The Fermi momentum can also be described as p F = ℏ k F , {\displaystyle
Fermi_energy
Fermi surface of a material with interacting fermions, causing Landau's Fermi liquid theory to break down. It occurs when a Landau parameter in Fermi
Pomeranchuk_instability
Physical model of non-interacting fermions
called the Fermi energy. The Fermi energy surface in reciprocal space is known as the Fermi surface. The nearly free electron model adapts the Fermi gas model
Fermi_gas
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
Theorem in condensed matter physics
where a metal's Fermi surface can be directly observed. Luttinger's theorem states that the volume enclosed by a material's Fermi surface is directly proportional
Luttinger's_theorem
Primitive cell in the reciprocal space lattice of crystals
electron momentum values) that have the same energy. The Fermi surface is a special constant-energy surface that separates the unfilled orbitals from the filled
Brillouin_zone
Experimental technique to determine the distribution of electrons in solids
photoelectrons, the technique can map the electronic band structure and Fermi surfaces. ARPES is best suited for the study of one- or two-dimensional materials
Angle-resolved photoemission spectroscopy
Angle-resolved_photoemission_spectroscopy
Experiments used to map the Fermi surface
describes a series of related experimental techniques used to map the Fermi surface of a metal in the presence of a strong magnetic field. These techniques
Quantum_oscillations
constant energy surfaces throughout large portions of the reciprocal space, Nano-ARPES can also precisely determine the Fermi surface of the investigated
Nano-ARPES
Quantum mechanical magnetic effect
the magnetic field B is increased. It can be used to determine the Fermi surface of a material. Other quantities also oscillate, such as the electrical
De_Haas–Van_Alphen_effect
Italian-American physicist (1901–1954)
Enrico Fermi (Italian: [enˈriːko ˈfermi]; 29 September 1901 – 28 November 1954) was an Italian and naturalized-American physicist, renowned for being the
Enrico_Fermi
Néel temperature of 311 K. Cr is a body-centered cubic metal whose Fermi surface features many parallel boundaries between electron pockets centered
Spin_density_wave
Approximation to shape of a point cloud
technique can be employed to reconstruct a Fermi surface from the electronic Bloch spectral function evaluated at the Fermi level, as obtained from the Green's
Alpha_shape
pseudopotential Fermi's golden rule Fermi motion, the quantum motion of nucleons bound inside a nucleus Fermi resonance Fermi surface Fermi acceleration Fermi–Ulam
List of things named after Enrico Fermi
List_of_things_named_after_Enrico_Fermi
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
State at which a Fermi surface has a partial energy gap in condensed matter physics
state where the Fermi surface of a material possesses a partial energy gap, for example, a band structure state where the Fermi surface is gapped only
Pseudogap
Theoretical mechanism for unconventional superconductivity
constant and E F {\displaystyle E_{\rm {F}}} is Fermi energy. For a typical 3D metal with a spherical Fermi surface Kohn and Luttinger estimated that T c ∼ 10
Kohn–Luttinger superconductivity
Kohn–Luttinger_superconductivity
Type of high-temperature superconductor
cuprates – making the superconductivity unconventional. Recent work on the Fermi surface has shown that nesting occurs at four points in the antiferromagnetic
Cuprate_superconductor
Experimental techniques of solid-state physics
p_{F}} . The border between occupied and unoccupied momentum states, the Fermi surface, is arguably the most significant feature of the electronic structure
Angular Correlation of Electron Positron Annihilation Radiation
Angular_Correlation_of_Electron_Positron_Annihilation_Radiation
Quantum anomaly
Fermi surface, that is vectors that connect a lot of points of the Fermi surface (for a one-dimensional chain of atoms or a spherical Fermi surface this
Kohn_anomaly
Predicted phase in quark matter
interacting Fermi liquid of quarks. In theoretical terms, a color superconducting phase is a state in which the quarks near the Fermi surface become correlated
Color_superconductivity
Discrepancy of the lack of evidence for alien life despite its apparent likelihood
The Fermi paradox is the seeming inconsistency between the lack of evidence of extraterrestrial civilizations and the apparently high likelihood of their
Fermi_paradox
their Fermi surface and zero-temperature dc conductivity as follows: Metal: Fermi liquid: a metal with well-defined quasiparticle states at the Fermi surface
List_of_states_of_matter
British physicist (1920–2008)
opposed to the mere abstract concept, of Fermi surfaces in metals by establishing the shape of the Fermi surface of copper through measuring the reflection
Brian_Pippard
Collective excitation in a Fermi liquid
the shape of Fermi distribution function changes slightly (or largely), zero sound propagates in the direction for the head of Fermi surface with no change
Zero_sound
Concept in quantum field theory and nanotechnology
obeying the Pauli exclusion principle. Fermionic systems that have a Fermi surface (FS) belong to a universality class in quantum field theory. Any collection
Fermi_point
Phenomenon of unconventional superconductors
of a two dimensional Fermi contour and are terminated onto the projections of the Weyl fermion nodes on the surface. Fermi surface Schrunk, Benjamin; Kushnirenko
Fermi_arc
mathematical theory of Fermi liquids (including Fermi surfaces, superconducting transitions, and explicit construction of Fermi fluids in two dimensions
Joel_Feldman
British physicist (1938–2021)
1964 from the University of Cambridge for research investigating the Fermi surfaces of metals. Following his PhD, Ashcroft completed postdoctoral research
Neil_Ashcroft
Measure of a substance's ability to resist or conduct electric current
scattering, A is a constant that depends on the velocity of electrons at the Fermi surface, the Debye radius and the number density of electrons in the metal.
Electrical resistivity and conductivity
Electrical_resistivity_and_conductivity
Effect on materials in an intense magnetic field
oscillations indicate areas of extremal orbits around the Fermi surface. The area of the Fermi surface is expressed in teslas. More accurately, the period in
Shubnikov–de_Haas_effect
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 Brillouin
Metallic_bonding
Characteristic length in a superconductor
order of 10 − 4 {\displaystyle 10^{-4}} cm. The electron near or at the Fermi surface moving through the lattice of a metal produces behind itself an attractive
Superconducting coherence length
Superconducting_coherence_length
Type of magnetic state
be regarded as the magnetic counterpart of a d-wave superconductor. Fermi surface of an altermagnetic metal. The blue and red colors correspond to the
Altermagnetism
Transition between different phases of matter at zero temperature
spin liquid. In case of three dimensional Fermi liquid, this transition transforms the Fermi surface into a Fermi volume. Such a transition can be a first-order
Quantum_phase_transition
Concept in condensed matter physics
of size ≈ 1 / kF, where kF is the Fermi wavenumber, i.e. a typical wavenumber for the states at the Fermi surface. Therefore, it cannot be possible to
Thomas–Fermi_screening
Quantum field of electrons
conductor, whose Fermi surface consists of fairly flat sheets perpendicular to the chain direction at ±kF. The electrons near the Fermi surface couple strongly
Charge_density_wave
Sudden increase in magnetization
metamagnetic behavior are: Itinerant metamagnetism - Exchange splitting of the Fermi surface in a paramagnetic system of itinerant electrons causes an energetically
Metamagnetism
Models used to describe the behavior of metal alloys
alloys. According to the RBM the shape of the constant energy surfaces (hence the Fermi surface as well) and curve of density of states of the alloy are the
Rigid-band_model
Collision causing gamma ray emission
annihilation spectroscopy (PAS). It is also used as a method of measuring the Fermi surface and band structure in metals by a technique called Angular Correlation
Electron–positron annihilation
Electron–positron_annihilation
Branch of physics
fields are used to study material properties such as the geometry of the Fermi surface. High magnetic fields will be useful in experimental testing of the
Condensed_matter_physics
Describes the range of energies of an electron within the solid
value. The isosurface of states with energy equal to the Fermi level is known as the Fermi surface. Energy band gaps can be classified using the wavevectors
Electronic_band_structure
American physicist
demonstrated that the Landau parameters emerge as marginal couplings at the Fermi surface fixed point, and that the BCS coupling is marginally relevant for attractive
Ramamurti_Shankar
Description of the dynamics of magnetization in a solid
correlation function of the spin–orbit torque operator evaluated near the Fermi surface. When the magnetization is tilted slightly from equilibrium, spin–orbit
Landau–Lifshitz–Gilbert equation
Landau–Lifshitz–Gilbert_equation
UChicago interdisciplinary physics research institute
institute made early advances in pseudopotential theory and study of the Fermi surface. The Institute was an early pioneer in interdisciplinary research in
James_Franck_Institute
Soviet-American theoretical physicist (1927–2025)
phase transitions in spin-orbit coupled systems driven by change of the Fermi surface topology, Giant oscillator strength of impurity excitons, and coexistence
Emmanuel_Rashba
American experimental physicist
doi:10.1103/PhysRev.133.A240. Kip, Arthur F. (1965). "The Role of the Fermi Surface in Low Temperature Physics". Low Temperature Physics LT9. p. 679. doi:10
Arthur_F._Kip
Soviet physicist (1917–1982)
of magnetic characteristics of metals and the form of an electronic surface of Fermi (Lifshitz–Kosevich formula) from de Haas–van Alphen experiments. Lifshitz
Ilya_Lifshitz
Behaviour of metals at low temperatures
the Debye temperature. For low density electron systems, however, the Fermi surface can be substantially smaller than the size of the Brillouin zone, and
Bloch–Grüneisen_law
Microscopic theory of superconductivity
some materials. At sufficiently low temperatures, electrons near the Fermi surface become unstable against the formation of Cooper pairs. Cooper showed
BCS_theory
Topics referred to by the same term
up nesting in Wiktionary, the free dictionary. Nesting may refer to: Fermi surface nesting, a concept in quantum mechanics Building or having a nest Nesting
Nesting
Type of quantum phase transition
the order parameter - by a reduction in the density of states at the Fermi surface, or by destruction of the phase coherence; which results from the proliferation
Superconductor–insulator transition
Superconductor–insulator_transition
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
Concept in physics
the successful fits by Walter Harrison to the nearly free electron Fermi surface of aluminum (1958) and by James C. Phillips to the covalent energy gaps
Pseudopotential
Phenomenon in mesoscopic physics
the shape of the sample. Recently, a third key factor, anisotropy of Fermi surface, is also found to fundamentally influence the amplitude of UCF. Speckle
Universal conductance fluctuations
Universal_conductance_fluctuations
high-temperature superconductors Photoemission Evidence for a Remnant Fermi Surface and a d-Wave-Like Dispersion in Insulating Ca2CuO2Cl2 Signature of Superfluid
Feng_Donglai
Phenomena that occur when a superconductor is in contact with a non-superconductor
basis, and all electron states are filled with electrons until the Fermi surface in a metal, or until the gap edge energy in the superconductor. Because
Proximity effect (superconductivity)
Proximity_effect_(superconductivity)
Special point in the density of states of a crystal
singularities (see the Figure) since for a spherical free electron gas Fermi surface E = ℏ 2 k 2 2 m {\displaystyle E={\frac {\hbar ^{2}k^{2}}{2m}}} so that
Van_Hove_singularity
Idealized physical body that absorbs all incident electromagnetic radiation
neutrino emission rate Lν are dominated by physics within T of the Fermi surface. ... The star will cool rapidly until its interior temperature is T < Tc ~ ∆
Black_body
Relation of magnetization to applied magnetic field and temperature
calculation doesn't describe the electrons embedded deep within the Fermi surface, forbidden by the Pauli exclusion principle to flip their spins, it
Curie's_law
Chemical compound
show that much of the Fermi surface is pseudogapped, while electronic-structure and phonon calculations indicate that Fermi-surface nesting and electron–phonon
Niobium_ditelluride
Romanian quantum physicist
resistance vanishes. She monitors quantum oscillations directly at the Fermi surface of these superconductors, as well as studying metallic systems. Her
Amalia_Coldea
Chemical compound
material behaves as an insulator; however, recent measurements reveal a Fermi surface (an abstract boundary of electrons in momentum space) characteristic
Samarium_hexaboride
Damping of electric fields
energetically possible for an electron within or on a Fermi surface to respond at wavevectors shorter than the Fermi wavevector. This constraint is related to the
Electric-field_screening
Type of electrical junction
to the surface states which are in turn pinned to the Fermi level (due to their high density), all without influence from the metal. The Fermi level pinning
Metal–semiconductor_junction
Branch of mathematics
used to classify topological insulators, superconductors and stable Fermi surfaces. For more details, see K-theory (physics). The Grothendieck completion
K-theory
Electrical insulators that are conventionally expected to be conductors
the Mott insulating phase is a quantum spin liquid with an emergent fermi surface of neutral fermions. Mott insulators are of growing interest in advanced
Mott_insulator
Physical phenomenon due to impurities
Zheng, Hao; Chang, Tay-Rong; Jeng, Horng-Tay; et al. (2015-09-18). "Fermi surface topology and hot spot distribution in the Kondo lattice system CeB6"
Kondo_effect
Imaging Instrument
the sample surface. The main result was that the tunneling current is proportional to the local density of states of the sample at the Fermi level taken
Scanning_tunneling_microscope
Spintronics-related effect
presence of a single Fermi contour; therefore, this case is discussed first. Topological insulators display spin-split surface states where spin-momentum
Rashba–Edelstein_effect
(link) Ziman, John (1963). Electrons in metals: A short guide to the Fermi surface. Taylor & Francis. OCLC 13129448. Ziman, John (1968). Public Knowledge:
John_Ziman
Physical function
Xinjie; Vanderbilt, David; Souza, Ivo (2007-05-21). "Spectral and Fermi surface properties from Wannier interpolation". Physical Review B. 75 (19) 195121
Wannier_function
Russian theoretical physicist (1931–2021)
Victor M.; Dzyaloshinskii, Igor E. (1997). "Parquet solution for a flat Fermi surface". Physical Review B. 55 (5): 3200–3215. arXiv:cond-mat/9609118. Bibcode:1997PhRvB
Igor_Dzyaloshinskii
Direct conversion of temperature differences to electric voltage and vice versa
transverse thermoelectric effect induced by the mixed-dimensionality of Fermi surfaces". Nature Communications. 15 (1): 3907. doi:10.1038/s41467-024-48217-0
Thermoelectric_effect
Degree to which a material becomes magnetized in an applied magnetic field
Alphen effect and relates the period of the susceptibility with the Fermi surface of the material. An analogue non-linear relation between magnetization
Magnetic_susceptibility
High-energy particle physics laboratory in Illinois, US
Fermi National Accelerator Laboratory (FNAL; branded as Fermilab) is a national laboratory for high-energy particle physics, located in Batavia, Illinois
Fermi National Accelerator Laboratory
Fermi_National_Accelerator_Laboratory
Model of electronic band structures of solids
structure Nearly-free electron model Bloch's theorems Kronig-Penney model Fermi surface Wannier function Hubbard model t-J model Effective mass Anderson's rule
Tight_binding
Theoretical model describing interacting fermions in a one-dimensional conductor
not display a sharp jump, in contrast to the Fermi liquid (where this jump indicates the Fermi surface). There is no 'quasiparticle peak' in the momentum-dependent
Luttinger_liquid
Metallic palladium
the β-phase of PdHx. The α-phase of PdH lies in the same range of the fermi surface as Pd itself, therefore 𝛼-phase does not influence the susceptibility
Palladium_hydride
British-American physicist
accompanies the development of magnetism. This led to the prediction that the Fermi surface will change discontinuously at a quantum critical point, a result later
Piers_Coleman
Type of order at absolute zero
(11 November 2004). "Berry Curvature on the Fermi Surface: Anomalous Hall Effect as a Topological Fermi-Liquid Property". Physical Review Letters. 93
Topological_order
Indian physicist
particle-like excitations. the fractionalized Fermi liquid (FL), a metallic state whose Fermi surface does not enclose the Luttinger volume. Sachdev
Subir_Sachdev
Broken symmetry phase favoring onset of superconducting or superfluid order
amplified at the shape resonance if in this range the Fermi surface of the appearing fermi surface spot changes its dimensionality (for example the Lifshitz
Superstripes
Chemical compound
spectroscopy measurements directly observed bulk Weyl cones and topological Fermi arc surface states in single crystals of NbAs. Niobium arsenide can be prepared
Niobium_arsenide
American physicist
"Comparison of spin dynamics in YBa2Cu3O7- delta and La2-xSrxCuO4: Effects of Fermi-surface geometry". Physical Review B. 47 (14): 9055–9076. doi:10.1103/physrevb
Kathryn_Levin
Family of high-temperature superconductors
Campuzano, J. C.; Park, J-M.; Li, Z. Z.; Raffy, H. (2006). "Change of Fermi-surface topology inBi2Sr2CaCu2O8+δwith doping". Physical Review B. 73 (17) 174511
Bismuth strontium calcium copper oxide
Bismuth_strontium_calcium_copper_oxide
Phenomenon observed in physics
resonance is therefore a useful technique to measure effective mass and Fermi surface cross-section in solids. In a sufficiently high magnetic field at low
Electron_cyclotron_resonance
Quasiparticle in the fractional quantum Hall effect
Ruel; K.W. West; L.N. Pfeiffer (1993). "Experimental demonstration of a Fermi surface at one-half filling of the lowest Landau level". Physical Review Letters
Composite_fermion
frequency electron properties of metals exploring exotic shapes of Fermi surfaces of metals. There Gantmakher earned his Candidate and Doctor of Sciences
Vsevolod_Gantmakher
Phase of matter
group in 2003. It may correspond to a gapless spin liquid with spinon Fermi surface (the so-called uniform RVB state). The peculiar phase diagram of this
Quantum_spin_liquid
Award presented by the Royal Society since 1902
techniques, particularly the De Haas Van Alphen effect, defining the Fermi surface of many metals." 1996 A. D. Buckingham "For his contributions to chemical
Hughes_Medal
Chemical compound
may be expected. MgB2 is a multi-band superconductor, that is each Fermi surface has different superconducting energy gap. For MgB2, sigma bond of boron
Magnesium_diboride
Coherent delocalized electron oscillations
Surface plasmons (SPs) are coherent delocalized electron oscillations that exist at the interface between any two materials where the real part of the
Surface_plasmon
Chemical compound
wave formation does not completely remove the Fermi surface, a phenomenon known as imperfect Fermi surface nesting. In the form of nanofibers, NbSe3 exhibits
Niobium_triselenide
Electronic structure imaging method
connecting points of high density of states, or parallel sections of the Fermi surface (see figure). A more rigorous description of quasiparticle interference
Quasiparticle interference imaging
Quasiparticle_interference_imaging
Screening phenomenon in metals
in the surface of a solid arise from localized perturbations in a metallic or semiconductor system caused by a defect in the Fermi gas or Fermi liquid
Friedel_oscillations
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