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This study demonstrates how multivalued disorder in one-dimensional chiral lattices can analytically split topological phases into multiple tunable windows, offering a precise method to control phase diagrams via disorder parameters. The findings validate theoretical predictions against numerical simulations using reflection-matrix and real-space winding numbers, establishing a clear framework for organizing reentrant topological behavior. Such control mechanisms are significant for advancing the design of robust topological quantum devices and disordered systems.
Multiple reentrant topological windows induced by generalized Bernoulli disorder
arXiv:2512.06851v3 Announce Type: replace-cross Abstract: We investigate reentrant topological transitions in a one-dimensional Su-Schrieffer-Heeger chain with generalized Bernoulli disorder in the intradimer hopping amplitudes. Owing to its independently tunable values and probabilities, the multivalued disorder distribution provides a direct way to control the topological phase diagram. We show that increasing the disorder strength can split the nontrivial regime into multiple disconnected topological windows, whose number, widths, and locations are determined by the distribution parameters. The phase boundaries are derived analytically from the zero-mode inverse localization length and are governed by a weighted geometric mean of the disordered hopping amplitudes, in agreement with numerical results from the reflection-matrix topological quantum number and the real-space winding number. We also show that the mean chiral displacement dynamically identifies these reentrant windows. These results demonstrate how multivalued random disorder can organize and tune reentrant topological behavior in one-dimensional chiral lattices.
Abstract:We investigate reentrant topological transitions in a one-dimensional Su-Schrieffer-Heeger chain with generalized Bernoulli disorder in the intradimer hopping amplitudes. Owing to its independently tunable values and probabilities, the multivalued disorder distribution provides a direct way to control the topological phase diagram. We show that increasing the disorder strength can split the nontrivial regime into multiple disconnected topological windows, whose number, widths, and locations are determined by the distribution parameters. The phase boundaries are derived analytically from the zero-mode inverse localization length and are governed by a weighted geometric mean of the disordered hopping amplitudes, in agreement with numerical results from the reflection-matrix topological quantum number and the real-space winding number. We also show that the mean chiral displacement dynamically identifies these reentrant windows. These results demonstrate how multivalued random disorder can organize and tune reentrant topological behavior in one-dimensional chiral lattices.
Optics (physics.optics); Disordered Systems and Neural Networks (cond-mat.dis-nn); Quantum Physics (quant-ph)
arXiv:2512.06851 [physics.optics]
(or arXiv:2512.06851v3 [physics.optics] for this version)
Phys. Rev. A 113, 063502 (2026)
https://doi.org/10.1103/ynnr-q4h3 DOI(s) linking to related resources
Full text under the publisher's open licence · 172 words
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