Ciftja Orion
Department of Physics, Prairie View A&M University, Prairie View, TX, 77446, USA.
Sci Rep. 2021 Feb 4;11(1):3181. doi: 10.1038/s41598-021-82564-y.
We 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.
我们考虑二维电子气系统的圆形费米面对于由各向异性库仑相互作用势引起的椭圆形变的稳定性。我们对中和背景采用凝胶模型近似，并将电子视为具有恒定各向同性（有效）质量的完全自旋极化（无自旋）粒子。本工作中考虑的各向异性库仑相互作用势源自对量子霍尔 regime 中二维电子气系统的研究。我们使用哈特里 - 福克方法来获得两个特殊费米液体量子电子相的解析结果。第一个对应具有圆形费米面的系统，而第二个对应具有费米面特定椭圆形变的液体各向异性相，该形变导致系统的势能尽可能低。所获得的结果表明，对于最一般的情况，在本工作所考虑的态族框架内，这两个费米液体相都不代表系统的最低能量态。最低能量相是具有最佳椭圆形变的相，其具体值由包括系统密度在内的许多因素的复杂相互作用决定。
