scholarly journals A Two Dimensional Fermi Liquid. Part 3: The Fermi Surface

2004 ◽  
Vol 247 (1) ◽  
pp. 113-177 ◽  
Author(s):  
Joel Feldman ◽  
Horst Kn�rrer ◽  
Eugene Trubowitz
Keyword(s):  
Fermi Surface ◽  
Fermi Liquid ◽  
Two Dimensional ◽  
Liquid Part

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

2021 ◽  
Vol 11 (1) ◽  
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.

scholarly journals A Two Dimensional Fermi Liquid. Part 1: Overview

2004 ◽  
Vol 247 (1) ◽  
pp. 1-47 ◽  
Author(s):  
Joel Feldman ◽  
Horst Kn�rrer ◽  
Eugene Trubowitz
Keyword(s):  
Fermi Liquid ◽  
Two Dimensional ◽  
Liquid Part

RENORMALIZATION GROUP OF A TWO-DIMENSIONAL PATCHED FERMI SURFACE

2003 ◽  
Vol 17 (04) ◽  
pp. 167-174 ◽  
Author(s):  
A. FERRAZ
Keyword(s):  
Renormalization Group ◽  
Continuous Function ◽  
Fermi Surface ◽  
Fermi Liquid ◽  
Anomalous Dimension ◽  
Luttinger Liquid ◽  
Two Dimensional ◽  
Infinite Slope ◽  
Fermi Liquid Theory ◽  
Liquid Theory

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.

scholarly journals Non-Fermi liquid in a truncated two-dimensional Fermi surface

2003 ◽  
Vol 68 (7) ◽  
Author(s):  
A. Ferraz
Keyword(s):  
Fermi Surface ◽  
Fermi Liquid ◽  
Two Dimensional

scholarly journals A Two Dimensional Fermi Liquid. Part 2: Convergence

2004 ◽  
Vol 247 (1) ◽  
pp. 49-111 ◽  
Author(s):  
Joel Feldman ◽  
Horst Kn�rrer ◽  
Eugene Trubowitz
Keyword(s):  
Fermi Liquid ◽  
Two Dimensional ◽  
Liquid Part

scholarly journals BOSONIZATION FOR 2D INTERACTING FERMION SYSTEMS: NON-FERMI LIQUID BEHAVIOR

1994 ◽  
Vol 08 (01) ◽  
pp. 59-67 ◽  
Author(s):  
Y. YU ◽  
Y.M. LI ◽  
N. d’AMBRUMENIL
Keyword(s):  
Fermi Surface ◽  
Momentum Distribution ◽  
Fermi Liquid ◽  
Two Dimensional ◽  
Fermion Systems ◽  
Liquid Behavior ◽  
2D System ◽  
First Time ◽  
Bogolubov Transformation ◽  
Fermi Liquid Behavior

Non-Fermi liquid behavior is found for the first time in a two-dimensional (2D) system with nonsingular interactions using Haldane’s bosonization scheme. The bosonized system is solved exactly by a generalized Bogolubov transformation. The fermion momentum distribution, calculated using a generalized Mattis-Lieb technique, exhibits a nonuniversal power law in the vicinity of the Fermi surface for intermediate interaction strengths.

scholarly journals Interaction-Induced Metallicity in a Two-Dimensional Disordered Non-Fermi Liquid

2020 ◽  
Vol 125 (25) ◽  
Author(s):  
P. A. Nosov ◽  
I. S. Burmistrov ◽  
S. Raghu
Keyword(s):  
Fermi Liquid ◽  
Two Dimensional

Friedel oscillations in a two dimensional Fermi liquid

2003 ◽  
Vol 127 (12) ◽  
pp. 789-791 ◽  
Author(s):  
Gabriele F. Giuliani ◽  
George E. Simion
Keyword(s):  
Fermi Liquid ◽  
Two Dimensional ◽  
Friedel Oscillations

Fermi-liquid theory in the low-density two-dimensional Hubbard model

1993 ◽  
Vol 48 (14) ◽  
pp. 10567-10570 ◽  
Author(s):  
Sudhakar Yarlagadda ◽  
Susumu Kurihara
Keyword(s):  
Hubbard Model ◽  
Fermi Liquid ◽  
Low Density ◽  
Two Dimensional ◽  
Fermi Liquid Theory ◽  
Liquid Theory

Experimental band structure and Fermi surface of a two-dimensional Er silicide on Si(111)

1992 ◽  
Vol 82 (4) ◽  
pp. 235-238 ◽  
Author(s):  
P. Wetzel ◽  
C. Pirri ◽  
P. Paki ◽  
J.C. Peruchetti ◽  
D. Bolmont ◽  
...  
Keyword(s):  
Band Structure ◽  
Fermi Surface ◽  
Two Dimensional
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