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arXiv · 2106.12861

Many-body localization and the area law in two dimensions

Kevin S. C. Decker·Dante M. Kennes·Christoph Karrasch
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Abstract

We study the high-energy phase diagram of a two-dimensional spin-$\frac{1}{2}$ Heisenberg model on a square lattice in the presence of either quenched or quasiperiodic disorder. The use of large-scale tensor network numerics allows us to compute the bipartite entanglement entropy for systems of up to $60 \times 7$ lattice sites. We provide evidence for the existence of a many-body localized regime for large disorder strength that features an area law in excited states and that violates the eigenstate thermalization hypothesis. From a finite-size analysis, we determine an estimate for the critical disorder strength where the transition to the ergodic regime occurs in the quenched case.

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Kevin S. C. Decker, Dante M. Kennes, Christoph Karrasch. 2021-06-24. Many-body localization and the area law in two dimensions. https://doi.org/10.1103/physrevb.106.l180201

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