Ergodicity Breaking Transition in Finite Disordered Spin Chains

• URL: http://arxiv.org/abs/2004.01719v1
• Date: Fri, 3 Apr 2020 18:00:02 GMT
• Title: Ergodicity Breaking Transition in Finite Disordered Spin Chains
• Authors: Jan \v{S}untajs, Janez Bon\v{c}a, Toma\v{z} Prosen, Lev Vidmar
• Abstract summary: We study disorder-induced ergodicity breaking transition in high-energy eigenstates of interacting spin-1/2 chains. We consistently find that an (infinite-order) Kosterlitz-Thouless transition yields a lower cost function when compared to a finite-order transition.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study disorder-induced ergodicity breaking transition in high-energy eigenstates of interacting spin-1/2 chains. Using exact diagonalization we introduce a cost function approach to quantitatively compare different scenarios for the eigenstate transition. We study ergodicity indicators such as the eigenstate entanglement entropy and the spectral level spacing ratio, and we consistently find that an (infinite-order) Kosterlitz-Thouless transition yields a lower cost function when compared to a finite-order transition. Interestingly, we observe that the transition point in finite systems exhibits nearly thermal properties, i.e., ergodicity indicators at the transition are close to the random matrix theory predictions.

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