Abstract

In this work we discuss extensions of the pioneering analysis by Dzyaloshinskii and Larkin [Sov. Phys. JETP 38, 202 (1974)] of correlation functions for one-dimensional Fermi systems, focusing on the effects of quasiparticle relaxation enabled by a nonlinear dispersion. Throughout the work we employ both, the weakly interacting Fermi gas picture and nonlinear Luttinger liquid theory to describe attenuation of excitations and explore the fermion-boson duality between both approaches. Special attention is devoted to the role of spin-exchange processes, effects of interaction screening, and integrability. Thermalization rates for electron- and hole-like quasiparticles, as well as the decay rate of collective plasmon excitations and the momentum space mobility of spin excitations are calculated for various temperature regimes. The phenomenon of spin–charge drag is considered and the corresponding momentum transfer rate is determined. We further discuss how momentum relaxation due to several competing mechanisms, viz. triple electron collisions, electron–phonon scattering, and long-range inhomogeneities affect transport properties, and highlight energy transfer facilitated by plasmons from the perspective of the inhomogeneous Luttinger liquid model. Finally, we derive the full matrix of thermoelectric coefficients at the quantum critical point of the first conductance plateau transition, and address magnetoconductance in ballistic semiconductor nanowires with strong Rashba spin–orbit coupling.

中文翻译：

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费米-卢廷格液体中的动力学过程

摘要

在这项工作中，我们讨论了 Dzyaloshinskii 和 Larkin [Sov. 物理。喷气式飞机38, 202 (1974)] 一维费米系统的相关函数，重点关注非线性色散引起的准粒子弛豫的影响。在整个工作中，我们同时使用弱相互作用费米气体图像和非线性 Luttinger 液体理论来描述激发的衰减并探索两种方法之间的费米子-玻色子对偶性。特别关注自旋交换过程的作用、相互作用筛选的影响和可积性。计算了电子和空穴类准粒子的热化率，以及集体等离子体激发的衰减率和自旋激发的动量空间迁移率，适用于各种温度范围。考虑自旋电荷阻力现象并确定相应的动量传递率。我们进一步讨论了由于几种竞争机制导致的动量松弛，即。三重电子碰撞、电子-声子散射和长程不均匀性影响传输特性，并从非均匀 Luttinger 液体模型的角度突出了等离子体促进的能量转移。最后，我们在第一个电导平台跃迁的量子临界点推导出热电系数的完整矩阵，并通过强 Rashba 自旋轨道耦合解决弹道半导体纳米线中的磁导。并从非均匀 Luttinger 液体模型的角度突出显示等离子体促进的能量转移。最后，我们在第一个电导平台跃迁的量子临界点推导出热电系数的完整矩阵，并通过强 Rashba 自旋轨道耦合解决弹道半导体纳米线中的磁导。并从非均匀 Luttinger 液体模型的角度突出显示等离子体促进的能量转移。最后，我们在第一个电导平台跃迁的量子临界点推导出热电系数的完整矩阵，并通过强 Rashba 自旋轨道耦合解决弹道半导体纳米线中的磁导。