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Fermi surface information


In condensed matter physics, the Fermi surface is the surface in reciprocal space which separates occupied from unoccupied electron states at zero temperature.[1] The shape of the Fermi surface is derived from the periodicity and symmetry of the crystalline lattice and from the occupation of electronic energy bands. The existence of a Fermi surface is a direct consequence of the Pauli exclusion principle, which allows a maximum of one electron per quantum state.[2][3][4][5] The study of the Fermi surfaces of materials is called fermiology.

  1. ^ Dugdale, S B (2016). "Life on the edge: a beginner's guide to the Fermi surface". Physica Scripta. 91 (5): 053009. Bibcode:2016PhyS...91e3009D. doi:10.1088/0031-8949/91/5/053009. hdl:1983/18576e8a-c769-424d-8ac2-1c52ef80700e. ISSN 0031-8949.
  2. ^ Ashcroft, N.; Mermin, N. D. (1976). Solid-State Physics. Holt, Rinehart and Winston. ISBN 0-03-083993-9.
  3. ^ Harrison, W. A. (July 1989). Electronic Structure and the Properties of Solids. Courier Corporation. ISBN 0-486-66021-4.
  4. ^ VRML Fermi Surface Database
  5. ^ Ziman, J. M. (1963). Electrons in Metals: A short Guide to the Fermi Surface. London: Taylor & Francis. OCLC 541173.

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Fermi surface

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Fermi surface is the surface in reciprocal space which separates occupied from unoccupied electron states at zero temperature. The shape of the Fermi...

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Fermi energy

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called the Fermi wavevector, is the radius of the Fermi sphere. These quantities may not be well-defined in cases where the Fermi surface is non-spherical...

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Fermi liquid theory

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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...

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Fermi level

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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...

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Fermi gas

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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...

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Brillouin zone

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electron momentum values) that have the same energy. Fermi surface is a special constant-energy surface that separates the unfilled orbitals from the filled...

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Pomeranchuk instability

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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...

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Alpha shape

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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...

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Quantum oscillations

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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...

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Fermi paradox

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The Fermi paradox is the discrepancy between the lack of conclusive evidence of advanced extraterrestrial life and the apparently high likelihood of its...

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Enrico Fermi

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Enrico Fermi (Italian: [enˈriːko ˈfermi]; 29 September 1901 – 28 November 1954) was an Italian and later naturalized American physicist, renowned for being...

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List of states of matter

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their Fermi surface and zero-temperature dc conductivity as follows: Metal: Fermi liquid: a metal with well-defined quasiparticle states at the Fermi surface...

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Quantum phase transition

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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...

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Pseudogap

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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...

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Fermi arc

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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...

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Color superconductivity

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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...

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Neil Ashcroft

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1964 from the University of Cambridge for research investigating the Fermi surfaces of metals. Following his PhD, Ashcroft completed postdoctoral research...

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Zero sound

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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...

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Electrical resistivity and conductivity

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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....

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Kohn anomaly

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possible are the nesting vectors of the Fermi surface, that is vectors that connect a lot of points of the Fermi surface (for a one-dimensional chain of atoms...

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Metallic bonding

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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...

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Spin density wave

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Néel temperature of 311 K. Cr is a body-centered cubic metal whose Fermi surface features many parallel boundaries between electron pockets centered...

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