Nonequilibrium DMFT+CPA for correlated disordered systems

Nonequilibrium DMFT+CPA for correlated disordered systems
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相关无序系统的非平衡 DMFT CPA

DOI:
10.1103/physrevb.106.195156
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发表时间:
2022
期刊:
影响因子:
3.7
通讯作者:
Fotso, Herbert F.
Fotso, Herbert F.
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Dohner, Eric;Terletska, Hanna;Tam, Ka-Ming;Moreno, Juana;Fotso, Herbert F.

文献摘要

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我们提出了一个相互作用无序系统的非平衡动力学的解决方案。该方法适应平衡动力学平均场理论和平衡相干势近似方法的非平衡多体形式主义的组合,使用Kadanoff-Baym-Keldysh复杂的时间轮廓,相互作用的无序系统远离平衡的动力学。我们使用我们的时域解决方案,以获得由Anderson-Hubbard模型描述的无序相互作用系统的平衡态密度,绕过繁琐的分析延续过程的必要性。我们进一步将非平衡解应用于孤立无序系统的相互作用猝灭问题。在这里,相互作用突然从零(非相互作用系统)变为另一个恒定(有限)值,随后保持不变。我们观察到通过时间依赖性的潜在的,动力学的,和总能量的影响,作为最终的相互作用强度的函数的系统上的松弛的无序。实时的方法有可能阐明无序在相互作用量子系统的非平衡动力学中的基本作用。
We present a solution for the nonequilibrium dynamics of an interacting disordered system. The approach adapts the combination of the equilibrium dynamical mean-field theory and the equilibrium coherent potential approximation methods to the nonequilibrium many-body formalism, using the Kadanoff-Baym-Keldysh complex time contour, for the dynamics of interacting disordered systems away from equilibrium. We use our time domain solution to obtain the equilibrium density of states of the disordered interacting system described by the Anderson-Hubbard model, bypassing the necessity for the cumbersome analytical continuation process. We further apply the nonequilibrium solution to the interaction quench problem for an isolated disordered system. Here, the interaction is abruptly changed from zero (noninteracting system) to another constant (finite) value at which it is subsequently kept. We observe via the time dependence of the potential, kinetic, and total energies the effect of disorder on the relaxation of the system as a function of final interaction strength. The real-time approach has the potential to shed light on the fundamental role of disorder in the nonequilibrium dynamics of interacting quantum systems.