Physical review. B./Physical review. B· 2026Q1
Mesoscopic transport in a Chern mosaic
- 1citations
- Q1SCImago
- 2026year
Short summary
A Chern mosaic, formed by domains with different local Chern numbers, can exhibit quantized resistances (zero, integer, or fractional multiples of the quantum of resistance) in its longitudinal and Hall responses, as demonstrated by a semi-classical analysis of domain wall network geometries.
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Key points
- Analyzes mesoscopic electronic transport in a Chern mosaic, where domains have differing local Chern numbers.
- Computes resistances for various domain wall network geometries at zero temperature and magnetic field.
- Demonstrates that simple domain configurations can result in zero, integer, or fractional quantized resistances in longitudinal and Hall responses.
- Employs a semi-classical analysis as a computational method.
AI-generated from the title and abstract; the full text is not read.
Abstract
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.
The authors' abstract, as published at the source. Physical review. B./Physical review. B, 2026 · DOI ↗
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Field: Atomic and Molecular Physics, and Optics
Atomic and Molecular Physics, and OpticsPhysics and Astronomy