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Anomalous multifractality in quantum chains with strongly correlated disorder

Duthie, A and Roy, S and Logan, DE (2022) Anomalous multifractality in quantum chains with strongly correlated disorder. In: Physical Review B, 106 (2).

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Official URL: https://doi.org/10.1103/PhysRevB.106.L020201


We demonstrate numerically that a robust and unusual multifractal regime can emerge in a one-dimensional quantum chain with maximally correlated disorder, above a threshold disorder strength. This regime is preceded by a mixed and an extended regime at weaker disorder strengths, with the former hosting both extended and multifractal eigenstates. The multifractal states we find are markedly different from conventional multifractal states in their structure, as they reside approximately uniformly over a continuous segment of the chain, and the lengths of these segments scale nontrivially with system size. This anomalous nature also leaves imprints on dynamics. An initially localized wave packet shows ballistic transport, in contrast to the slow, generally subdiffusive, transport commonly associated with multifractality. However, the timescale over which this ballistic transport persists again scales nontrivially with the system size.

Item Type: Journal Article
Publication: Physical Review B
Publisher: American Physical Society
Additional Information: The copyright for this article belongs to the Authors.
Keywords: Fractals; Transport properties, Ballistic transports; Correlated disorder; Disorder strength; Eigenstates; Multi fractals; Multifractality; One-dimensional; Quantum chains; System size; Weak disorder, Ballistics
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 10 Aug 2022 05:48
Last Modified: 10 Aug 2022 05:48
URI: https://eprints.iisc.ac.in/id/eprint/75781

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