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Condensed Matter > Disordered Systems and Neural Networks
Title: An invariant measure of chiral quantum transport
(Submitted on 18 Dec 2023 (v1), last revised 5 Apr 2024 (this version, v2))
Abstract: We study the invariant measure of the transport correlator for a chiral Hamiltonian and analyze its properties. The Jacobian of the invariant measure is a function of random phases. Then we distinguish the invariant measure before and after the phase integration. In the former case we found quantum diffusion of fermions and a uniform zero mode that is associated with particle conservation. After the phase integration the transport correlator reveals two types of evolution processes, namely classical diffusion and back-folded random walks. Which one dominates the other depends on the details of the underlying chiral Hamiltonian and may lead either to classical diffusion or to the suppression of diffusion.
Submission history
From: Klaus Ziegler [view email][v1] Mon, 18 Dec 2023 15:10:34 GMT (13kb)
[v2] Fri, 5 Apr 2024 10:32:50 GMT (18kb,D)
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