Minimal model of topological random binary alloy shows dopant-centric chiral current loops enabling topological phase transitions in trivial hosts and metallic phases with inter-domain edge modes in opposite-chirality cases.
Recent progress on disorder-induced topological phases
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abstract
Topological states of matter in disordered systems without translation symmetry have attracted great interest in recent years. These states with topological characters are not only robust against certain disorders, but also can be counterintuitively induced by disorders from a topologically trivial phase in the clean limit. In this review, we summarize the current theoretical and experimental progress on disorder-induced topological phases in both condensed-matter and artificial systems. We first introduce the topological Anderson insulators (TAIs) induced by random disorders and their topological characterizations and experimental realizations. We then discuss various extensions of TAIs with unique localization phenomena in quasiperiodic and non-Hermitian systems. We also review the theoretical and experimental studies on the disorder-induced topology in dynamical and many-body systems, including topological Anderson-Thouless pumps, disordered correlated topological insulators and average-symmetry protected topological orders acting as interacting TAI phases. Finally, we conclude the review by highlighting potential directions for future explorations.
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2026 2verdicts
UNVERDICTED 2representative citing papers
Weak uncorrelated quenched disorder drives the topological transition of the 3D Z2 gauge model into a new universality class, consistent with the Harris criterion.
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Topological random alloy
Minimal model of topological random binary alloy shows dopant-centric chiral current loops enabling topological phase transitions in trivial hosts and metallic phases with inter-domain edge modes in opposite-chirality cases.
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Finite-temperature topological transitions in the presence of quenched uncorrelated disorder
Weak uncorrelated quenched disorder drives the topological transition of the 3D Z2 gauge model into a new universality class, consistent with the Harris criterion.