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Disordered Haldane-Shastry model

Pai, S and Srivatsa, NS and Nielsen, AEB (2020) Disordered Haldane-Shastry model. In: Physical Review B, 102 (3).

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Official URL: https://dx.doi.org/10.1103/PhysRevB.102.035117


The Haldane-Shastry model is one of the most studied interacting spin systems. The Yangian symmetry makes it exactly solvable, and the model has semionic excitations. We introduce disorder into the Haldane-Shastry model by allowing the spins to sit at random positions on the unit circle and study the properties of the eigenstates. At weak disorder, the spectrum is similar to the spectrum of the clean Haldane-Shastry model. At strong disorder, the long-range interactions in the model do not decay as a simple power law. The eigenstates in the middle of the spectrum follow a volume law, but the coefficient is small, and the entropy is hence much less than for an ergodic system. In addition, the energy level spacing statistics is neither Poissonian nor of the Wigner-Dyson type. The behavior at strong disorder hence serves as an example of a nonergodic phase, which is not of the many-body localized kind, in a model with long-range interactions and SU(2) symmetry.

Item Type: Journal Article
Publication: Physical Review B
Publisher: American Physical Society
Additional Information: The copyright of this article belongs to American Physical Society
Keywords: Eigenstates; Energy level spacings; Interacting spin systems; Long range interactions; Random position; Strong disorders; Unit circles; Weak disorder
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 25 Sep 2020 11:37
Last Modified: 25 Sep 2020 11:37
URI: http://eprints.iisc.ac.in/id/eprint/66537

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