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- W1608097669 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 $pensuremath{in}[0,1]$. 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 ${H}_{A}$ 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." @default.
- W1608097669 created "2016-06-24" @default.
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- W1608097669 date "2015-06-15" @default.
- W1608097669 modified "2023-09-25" @default.
- W1608097669 title "Entanglement spectrum of a random partition: Connection with the localization transition" @default.
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- W1608097669 doi "https://doi.org/10.1103/physrevb.91.220101" @default.
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