Fermi-liquid theory of a two-dimensional electron liquid: Magnetoplasma waves

Using the renormalization group we calculate the single particle Green's function G and the momentum occupation function [Formula: see text] for a quasiparticle in a two-dimensional Fermi Surface (FS) composed of four symmetric patches with both flat and curved arcs in [Formula: see text]-space. We show that G develops an anomalous dimension as a result of the vanishing of the quasiparticle weight at the FS. [Formula: see text] is a continuous function of [Formula: see text] with an infinite slope at FS for CU*2/(1 - CU*2) < 1. This result resembles a Luttinger liquid and indicates the breakdown of Fermi liquid theory in this regime.

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FERMI LIQUID MODEL OF RADIATION INDUCED MAGNETORESISTANCE OSCILLATIONS IN GaAs/AlxGa1-xAs HETEROSTRUCTURE TWO-DIMENSIONAL ELECTRON SYSTEM

Modern Physics Letters B ◽

10.1142/s0217984910024304 ◽

2010 ◽

Vol 24 (18) ◽

pp. 1923-1931 ◽

Cited By ~ 6

Author(s):

TADASHI TOYODA

Keyword(s):

Fermi Liquid ◽

Electron System ◽

Experimental Result ◽

Dimensional Electron ◽

Fermi Liquid Theory ◽

Liquid Theory ◽

Liquid Model ◽

Dimensional Electron System ◽

Radiation Induced ◽

Magnetoresistance Oscillations

The magnetoresistance oscillation in GaAs / Al x Ga 1-x As heterostructures induced by millimeterwave radiation recently observed by Zudov et al.1 is theoretically reproduced by introducing a model based on the finite temperature Fermi liquid theory of DC conductivity and the electron reservoir hypothesis. The obtained oscillation patterns show excellent agreement with the experimental result by Zudov et al. and are independent of the polarization of the radiation field in accordance with the experimental observation by Smet et al.30

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EXPERIMENTAL PHOTOHOLE LIFETIMES DERIVED FROM TWO-DIMENSIONAL STATES IN Ag(111) FILMS DEPOSITED ONTO H-PASSIVATED Si(111)-(1 × 1) SURFACES

Surface Review and Letters ◽

10.1142/s0218625x02002804 ◽

2002 ◽

Vol 09 (02) ◽

pp. 729-734 ◽

Cited By ~ 1

Author(s):

A. ARRANZ ◽

J. F. SÁNCHEZ-ROYO ◽

J. AVILA ◽

V. PÉREZ-DIESTE ◽

M. C. ASENSIO

Keyword(s):

Single Crystals ◽

Valence Band ◽

Lower Limit ◽

Energy Dependence ◽

Density Of States ◽

Fermi Liquid ◽

Two Dimensional ◽

Fermi Liquid Theory ◽

Liquid Theory ◽

Band Spectra

The linewidth of two-dimensional states appearing in the valence band spectra of 6–12-monolayer Ag(111) films deposited onto H-passivated Si (111)-(1 × 1) substrates has been analyzed in order to obtain a lower limit of the photohole lifetime. An inverse quadratic energy dependence is expected according to the Fermi liquid theory. However, in contrast with the observed in the literature for Ag single crystals, an inverse linear energy dependence has been found for the photohole lifetime. This discrepancy could be attributed to the quantization in the Γ-L direction of the Ag-sp states available for the hole decay, which does not fulfill the energy-independent density of states hypothesis of the Fermi liquid theory.

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Fermi liquid theory

Physics Subject Headings (PhySH) ◽

10.29172/d151a5c5901b47dcbd5da5b41d230ca7 ◽

2018 ◽

Keyword(s):

Fermi Liquid ◽

Fermi Liquid Theory ◽

Liquid Theory

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Deformation of the Fermi surface of a spinless two-dimensional electron gas in presence of an anisotropic Coulomb interaction potential

Scientific Reports ◽

10.1038/s41598-021-82564-y ◽

2021 ◽

Vol 11 (1) ◽

Cited By ~ 2

Author(s):

Orion Ciftja

Keyword(s):

Fermi Surface ◽

Coulomb Interaction ◽

Interaction Potential ◽

Fermi Liquid ◽

Energy State ◽

Electron Gas ◽

Two Dimensional ◽

Dimensional Electron ◽

Two Dimensional Electron Gas ◽

Dimensional Electron Gas

AbstractWe consider the stability of the circular Fermi surface of a two-dimensional electron gas system against an elliptical deformation induced by an anisotropic Coulomb interaction potential. We use the jellium approximation for the neutralizing background and treat the electrons as fully spin-polarized (spinless) particles with a constant isotropic (effective) mass. The anisotropic Coulomb interaction potential considered in this work is inspired from studies of two-dimensional electron gas systems in the quantum Hall regime. We use a Hartree–Fock procedure to obtain analytical results for two special Fermi liquid quantum electronic phases. The first one corresponds to a system with circular Fermi surface while the second one corresponds to a liquid anisotropic phase with a specific elliptical deformation of the Fermi surface that gives rise to the lowest possible potential energy of the system. The results obtained suggest that, for the most general situations, neither of these two Fermi liquid phases represent the lowest energy state of the system within the framework of the family of states considered in this work. The lowest energy phase is one with an optimal elliptical deformation whose specific value is determined by a complex interplay of many factors including the density of the system.

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