Geometric interpretation of the weak-field Hall conductivity in two-dimensional metals with arbitrary Fermi surface

1991 ◽  
Vol 43 (1) ◽  
pp. 193-201 ◽  
Author(s):  
N. P. Ong
Keyword(s):  
Fermi Surface ◽  
Weak Field ◽  
Geometric Interpretation ◽  
Hall Conductivity ◽  
Two Dimensional

scholarly journals Influence of Anisotropic Scattering Along the 2D-Fermi Surface on Transport Properties in an Asymmetric-Donor-Based Molecular Crystal

1993 ◽  
Vol 328 ◽  
Author(s):  
Nathanael A. Fortune ◽  
K. Murata ◽  
G. C. Papavassjuou ◽  
D. J. Lagouvardos ◽  
J. S. Zambounis
Keyword(s):  
Fermi Surface ◽  
Temperature Dependence ◽  
Transport Properties ◽  
Hall Coefficient ◽  
Electronic Transport ◽  
Path Length ◽  
Molecular Crystal ◽  
Weak Field ◽  
Anisotropic Scattering ◽  
Hall Conductivity

ABSTRACTWe report our results for the temperature dependence of the Hall coefficient and in-plane resistivity for the asymmetric-donor-based quasi-2D Molecular crystal τ- (P-S,S-DMEDT-TTF)2 (AuBr2)1(AuBr2)y (y≈0.75). Using a recent “geometrical representation” of the weak-field 2D Hall conductivity developed by N.P. Ong [Phys. Rev. B 43, 193 (1991)], we model the temperature dependence of these electronic transport properties in terms of the temperature dependence of the scattering path length and its anisotropy along the 2D Fermi surface.

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 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

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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