Mesoscopic transport in a Chern mosaic

Fuente: arXiv
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Autori principali: Bhattacharjee, Sayak, May-Mann, Julian, Kwan, Yves H., Devakul, Trithep, Sharpe, Aaron
Natura: Preprint
Pubblicazione: 2026
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author Bhattacharjee, Sayak
May-Mann, Julian
Kwan, Yves H.
Devakul, Trithep
Sharpe, Aaron
author_facet Bhattacharjee, Sayak
May-Mann, Julian
Kwan, Yves H.
Devakul, Trithep
Sharpe, Aaron
contents We analyze mesoscopic electronic transport in a Chern mosaic: a regular pattern of domains whose electronic bands carry differing local Chern numbers. An example platform where a Chern mosaic can arise is a moiré heterostructure, where variations in the local moiré parameters can produce such domains. We compute resistances at linear response for a variety of domain wall network geometries at zero temperature and magnetic field. Simple domain configurations can exhibit zero, integer, or fractional multiples of the quantum of resistance in both the longitudinal and transverse (Hall) responses. Our simple semi-classical analysis provides a useful computational method and comparative catalog for ongoing experiments in two-dimensional topological materials.
format Preprint
id arxiv_https___arxiv_org_abs_2604_08654
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Mesoscopic transport in a Chern mosaic
Bhattacharjee, Sayak
May-Mann, Julian
Kwan, Yves H.
Devakul, Trithep
Sharpe, Aaron
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
We analyze mesoscopic electronic transport in a Chern mosaic: a regular pattern of domains whose electronic bands carry differing local Chern numbers. An example platform where a Chern mosaic can arise is a moiré heterostructure, where variations in the local moiré parameters can produce such domains. We compute resistances at linear response for a variety of domain wall network geometries at zero temperature and magnetic field. Simple domain configurations can exhibit zero, integer, or fractional multiples of the quantum of resistance in both the longitudinal and transverse (Hall) responses. Our simple semi-classical analysis provides a useful computational method and comparative catalog for ongoing experiments in two-dimensional topological materials.
title Mesoscopic transport in a Chern mosaic
topic Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
url https://arxiv.org/abs/2604.08654