Quantum-interference correction to conductivity in disordered electronic bands with non-uniform quantum geometry
Abstract
Weak localization in two-dimensional disordered electron systems originates from constructive interference between time-reversed scattering paths, giving rise to a logarithmically divergent quantum-interference correction to the dc conductivity. This behavior is generally suppressed when time-reversal symmetry (TRS) is broken. In this study, using a band-projected framework motivated by spin- and valley-polarized rhombohedral N-layer graphene (RNG), we show that nonuniform quantum geometry can qualitatively modify quantum-interference corrections to dc transport. In particular, continuously tuning the quantum geometry can change the sign of the conductivity correction, corresponding to a crossover between localization and antilocalization tendencies. Remarkably, at special values of the parameter controlling the quantum geometry, weak-localization (WL) or weak-antilocalization (WAL) can re-emerge despite broken microscopic TRS. At these special points, the orbital structure of the Bloch states gives rise to an emergent antiunitary symmetry that protects a gapless Cooperon mode and restores the logarithmically divergent quantum-interference correction characteristic of WL or WAL. Our results establish nonuniform quantum geometry as a mechanism for controlling quantum interference and electron localization in multiorbital electronic systems.
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BibTeX
@misc{wong2026quantuminterference,
title = {{Quantum-interference correction to conductivity in disordered electronic bands with non-uniform quantum geometry}},
author = {Yip Chun Wong and Asimpunya Mitra and Yong Baek Kim},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.22500},
eprint = {2610.22500},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.22500},
}
RIS
TY - UNPB
TI - Quantum-interference correction to conductivity in disordered electronic bands with non-uniform quantum geometry
AU - Yip Chun Wong
AU - Asimpunya Mitra
AU - Yong Baek Kim
PY - 2026
DA - 2026/10/15
PB - arXiv
DO - 10.48550/arxiv.2610.22500
UR - https://arxiv.org/abs/2610.22500
AB - Weak localization in two-dimensional disordered electron systems originates from constructive interference between time-reversed scattering paths, giving rise to a logarithmically divergent quantum-interference correction to the dc conductivity. This behavior is generally suppressed when time-reversal symmetry (TRS) is broken. In this study, using a band-projected framework motivated by spin- and valley-polarized rhombohedral N-layer graphene (RNG), we show that nonuniform quantum geometry can qualitatively modify quantum-interference corrections to dc transport. In particular, continuously tuning the quantum geometry can change the sign of the conductivity correction, corresponding to a crossover between localization and antilocalization tendencies. Remarkably, at special values of the parameter controlling the quantum geometry, weak-localization (WL) or weak-antilocalization (WAL) can re-emerge despite broken microscopic TRS. At these special points, the orbital structure of the Bloch states gives rise to an emergent antiunitary symmetry that protects a gapless Cooperon mode and restores the logarithmically divergent quantum-interference correction characteristic of WL or WAL. Our results establish nonuniform quantum geometry as a mechanism for controlling quantum interference and electron localization in multiorbital electronic systems.
ER -