Momentum relaxation of the spin distribution function caused by electron-electron scattering in a two-dimensional Fermi gas

IF 3.7 2区 物理与天体物理 Q1 Physics and Astronomy Physical Review B Pub Date : 2025-03-26 DOI:10.1103/physrevb.111.125308
O. E. Raichev
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Abstract

The influence of Coulomb interaction on the relaxation of the spin distribution function over the directions of electron momenta is studied by calculating the angular harmonics of the linearized electron-electron collision integral at low temperatures, when the electron gas is degenerate. It is shown that the relaxation rates of the spin distribution function of two-dimensional electron gas are substantially different for even and odd angular harmonics. For even harmonics, the relaxation rate of the spin distribution function is equal to the relaxation rate of the density distribution function, demonstrating a logarithmic increase with the number of harmonic and T2 temperature dependence. For odd harmonics, the relaxation rate does not depend on the number of harmonic and depends on temperature as T2ln(ɛF/T), where ɛF is the Fermi energy. The results are used for theoretical investigation of the temperature dependence of spin accumulation rates relating the intensity of external spin pumping with nonequilibrium spin polarization in the electron gas with spin-orbit coupling. This dependence has a maximum when the collisional broadening energy governed by electron-electron scattering exceeds the spin splitting energy, and is sensitive to the difference in the relaxation rates for even and odd harmonics. Published by the American Physical Society 2025
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二维费米气体中电子-电子散射引起的自旋分布函数的动量松弛
通过计算低温下电子气体简并时线性化电子-电子碰撞积分的角谐波,研究了库仑相互作用对自旋分布函数在电子动量方向上的弛豫的影响。结果表明,在奇偶角谐波下,二维电子气体的自旋分布函数的弛豫速率有很大的不同。对于偶次谐波,自旋分布函数的弛豫率等于密度分布函数的弛豫率,且随谐波数的增加呈对数增长,与T2温度相关。对于奇次谐波,弛豫速率不依赖于谐波的数目,而是依赖于温度,如T2ln(F/T),其中F为费米能量。研究结果用于自旋轨道耦合电子气体中外自旋抽运强度与非平衡自旋极化之间自旋积累速率温度依赖性的理论研究。当由电子-电子散射控制的碰撞展宽能超过自旋分裂能时,这种依赖关系达到最大值,并且对偶次和奇次谐波弛豫速率的差异敏感。2025年由美国物理学会出版
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来源期刊
Physical Review B
Physical Review B 物理-物理:凝聚态物理
CiteScore
6.70
自引率
32.40%
发文量
0
审稿时长
3.0 months
期刊介绍: Physical Review B (PRB) is the world’s largest dedicated physics journal, publishing approximately 100 new, high-quality papers each week. The most highly cited journal in condensed matter physics, PRB provides outstanding depth and breadth of coverage, combined with unrivaled context and background for ongoing research by scientists worldwide. PRB covers the full range of condensed matter, materials physics, and related subfields, including: -Structure and phase transitions -Ferroelectrics and multiferroics -Disordered systems and alloys -Magnetism -Superconductivity -Electronic structure, photonics, and metamaterials -Semiconductors and mesoscopic systems -Surfaces, nanoscience, and two-dimensional materials -Topological states of matter
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