Deformation of the Fermi surface of a spinless two-dimensional electron gas in presence of an anisotropic Coulomb interaction potential.
Deformation of the Fermi surface of a spinless two-dimensional electron gas in presence of an anisotropic Coulomb interaction potential.
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各向异性库仑相互作用势存在时无自旋二维电子气费米面的形变。
DOI：
10.1038/s41598-021-82564-y
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发表时间：
2021-02-04
影响因子：
4.6
通讯作者：
Ciftja O
中科院分区：
文献类型：
--
作者：
Ciftja O
我们考虑了二维电子气系统的圆形费米面对各向异性库仑相互作用势引起的椭圆形变的稳定性。我们对中和背景使用凝胶近似，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。本文所考虑的各向异性库仑相互作用势源于对量子霍尔区二维电子气系统的研究。我们使用Hartree-Fock程序得到了两个特殊的费米液体量子电子相的解析结果。第一种对应于具有圆形费米面的体系，而第二种对应于具有特定椭圆形变形的费米面的液体各向异性相，从而产生系统的最低可能势能。所得结果表明，在最一般的情况下，这两个费米液相都不代表本工作所考虑的状态族框架内系统的最低能态。最低能量相是具有最佳椭圆形变的相，其比值由包括系统密度在内的许多因素的复杂相互作用决定。
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.
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影响因子：
5.3
作者：
Ciftja, Orion
通讯作者：
Ciftja, Orion
影响因子：
3.7
作者：
KWON, YK;CEPERLEY, DM;MARTIN, RM
通讯作者：
MARTIN, RM
影响因子：
3.7
作者：
CEPERLEY, D
通讯作者：
CEPERLEY, D
影响因子：
3.7
作者：
TANATAR, B;CEPERLEY, DM
通讯作者：
CEPERLEY, DM
影响因子：
3.7
作者：
Bernu, B.;Delyon, F.;Baguet, L.
通讯作者：
Baguet, L.