Construction and Analysis of the Effective Model for the Bulk Steady State under Current in Boundary-Driven Open Systems

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1. Verfasser: Michishita, Yoshihiro
Format: Preprint
Veröffentlicht: 2026
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author Michishita, Yoshihiro
author_facet Michishita, Yoshihiro
contents Current-induced phenomena are often obscured by Joule heating, and their steady states are difficult to analyze in large open systems. We introduce a translationally invariant asymmetric-hopping model as an effective bulk description of boundary-driven systems under current. In a minimal case, it corresponds to an open-system Hatano--Nelson model. We find that the effective temperature rises linearly with current density, as observed experimentally. The model provides a useful tool for separating intrinsic current-induced effects from heating.
format Preprint
id arxiv_https___arxiv_org_abs_2605_08206
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Construction and Analysis of the Effective Model for the Bulk Steady State under Current in Boundary-Driven Open Systems
Michishita, Yoshihiro
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
Current-induced phenomena are often obscured by Joule heating, and their steady states are difficult to analyze in large open systems. We introduce a translationally invariant asymmetric-hopping model as an effective bulk description of boundary-driven systems under current. In a minimal case, it corresponds to an open-system Hatano--Nelson model. We find that the effective temperature rises linearly with current density, as observed experimentally. The model provides a useful tool for separating intrinsic current-induced effects from heating.
title Construction and Analysis of the Effective Model for the Bulk Steady State under Current in Boundary-Driven Open Systems
topic Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
url https://arxiv.org/abs/2605.08206