Thermomagnetic transport coefficients of a periodically modulated two-dimensional electron gas

1990 ◽  
Vol 42 (9) ◽  
pp. 5899-5901 ◽  
Author(s):  
F. M. Peeters ◽  
P. Vasilopoulos
2004 ◽  
Vol 18 (27n29) ◽  
pp. 3653-3656
Author(s):  
X. F. WANG ◽  
P. VASILOPOULOS ◽  
F. M. PEETERS

Transport properties of a two-dimensional electron gas (2DEG) are studied in the presence of a normal magnetic field B, of a weak one-dimensional (1D) periodic potential modulation V(x)=V0cos(Kx), and of the Rashba spin-orbit interaction (SOI) of strength α. For V(x)=0 the SOI mixes the up and down spin states of neighboring Landau levels into two, unequally spaced energy branches. For V(x)≠0 these levels broaden into bands and their bandwidths oscillate with B. The n-th level bandwidth of each series vanishes at different values of B. Relative to the 1D-modulated 2DEG without SOI and one flat-band condition, there are two flat-band conditions that depend on α and the transport coefficients can change considerably. For weak α the Weiss oscillations show beating patterns while for strong α the Shubnikov-de Haas ones are split in two.


2021 ◽  
Vol 104 (4) ◽  
Author(s):  
Jine Zhang ◽  
Hui Zhang ◽  
Xiaobing Chen ◽  
Jing Zhang ◽  
Shaojin Qi ◽  
...  

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Orion Ciftja

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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