Excitation spectrum of the quasi-one-dimensional electron gas with long-range Coulomb interaction

1998 ◽  
Vol 58 (7) ◽  
pp. 3497-3500 ◽  
Author(s):  
A. Gold ◽  
L. Calmels
Keyword(s):  
Excitation Spectrum ◽  
Long Range ◽  
Coulomb Interaction ◽  
Electron Gas ◽  
Dimensional Electron ◽  
One Dimensional ◽  
Dimensional Electron Gas

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 Unscreened Coulomb repulsion in the one-dimensional electron gas

1999 ◽  
Vol 60 (23) ◽  
pp. 15654-15659 ◽  
Author(s):  
G. Fano ◽  
F. Ortolani ◽  
A. Parola ◽  
L. Ziosi
Keyword(s):  
Electron Gas ◽  
Coulomb Repulsion ◽  
Dimensional Electron ◽  
One Dimensional ◽  
Dimensional Electron Gas ◽  
The One
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