PreprintCC BY 4.0arXiv
Mobility-Gap Robustness and Středa-Hall Separation in Disordered Axion Pumping
Abstract
We show that the noncommutative second Chern number of a (3+1)D disordered axion pump remains quantized beyond global spectral gap closure at Wg ≈ 14.5. Large-scale computation of the second Chern number and finite-size scaling demonstrate convergence of Ch2 toward −1 well into the mobility-gap regime (W ≲ 16.5), while the Středa-Hall response ∂ϕCh0,3 departs rapidly after global spectral gap closure, serving as an internal control that distinguishes bulk mobility-gap protection from finite-size artifacts. Level statistics identify a 3D unitary Anderson transition at each pump slice and locate the mobility-edge bottleneck at τ=0, with critical disorder Wc ≈ 18.
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BibTeX
@misc{leung2026mobilitygap,
title = {{Mobility-Gap Robustness and Středa-Hall Separation in Disordered Axion Pumping}},
author = {Bryan Leung and Emil Prodan},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.27324},
eprint = {2609.27324},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.27324},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Mobility-Gap Robustness and Středa-Hall Separation in Disordered Axion Pumping
AU - Bryan Leung
AU - Emil Prodan
PY - 2026
DA - 2026/09/23
PB - arXiv
DO - 10.48550/arxiv.2609.27324
UR - https://arxiv.org/abs/2609.27324
AB - We show that the noncommutative second Chern number of a (3+1)D disordered axion pump remains quantized beyond global spectral gap closure at W_g ≈ 14.5. Large-scale computation of the second Chern number and finite-size scaling demonstrate convergence of Ch_2 toward −1 well into the mobility-gap regime (W ≲ 16.5), while the Středa-Hall response ∂_ϕCh_0,3 departs rapidly after global spectral gap closure, serving as an internal control that distinguishes bulk mobility-gap protection from finite-size artifacts. Level statistics identify a 3D unitary Anderson transition at each pump slice and locate the mobility-edge bottleneck at τ=0, with critical disorder W_c ≈ 18.
ER -