Entanglement spectrum of a random partition: Connection with the localization transition
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PhysRevB.91.220101.pdf
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245.83 KB
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Author(s)
Vijay, Sagar
Fu, Liang
Date Issued
June 2015
Journal
Physical Review B
Publisher
American Physical Society
Citation
Vijay, Sagar, and Liang Fu. “Entanglement Spectrum of a Random Partition: Connection with the Localization Transition.” Phys. Rev. B 91, no. 22 (June 2015). © 2015 American Physical Society
Version
Final published version
Abstract
We study the entanglement spectrum of a translationally invariant lattice system under a random partition, implemented by choosing each site to be in one subsystem with probability p ∈ [0,1]. We apply this random partitioning to a translationally invariant (i.e., clean) topological state, and argue on general grounds that the corresponding entanglement spectrum captures the universal behavior about its disorder-driven transition to a trivial localized phase. Specifically, as a function of the partitioning probability p, the entanglement Hamiltonian H[subscript A] must go through a topological phase transition driven by the percolation of a random network of edge states. As an example, we analytically derive the entanglement Hamiltonian for a one-dimensional topological superconductor under a random partition, and demonstrate that its phase diagram includes transitions between Griffiths phases. We discuss potential advantages of studying disorder-driven topological phase transitions via the entanglement spectra of random partitions.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.91.220101
