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Journal Article

Many-body localization and the area law in two dimensions


Kennes,  D. M.
Institut für Theorie der Statistischen Physik, RWTH Aachen University and JARA-Fundamentals of Future Information Technology;
Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;
Center for Free-Electron Laser Science;

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Decker, K. S. C., Kennes, D. M., & Karrasch, C. (2022). Many-body localization and the area law in two dimensions. Physical Review B, 106(18): L180201. doi:10.1103/PhysRevB.106.L180201.

Cite as: https://hdl.handle.net/21.11116/0000-0008-FCAC-B
We study the high-energy phase diagram of a two-dimensional spin 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 60×7 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.