Many-body localization transition through pairwise correlations
arXiv:1705.01957 · doi:10.1103/PhysRevB.96.014204
Abstract
We investigate the phenomenon of spatial many-body localization (MBL) through pairwise correlation measures based on one and two-point correlation functions. The system considered is the Heisenberg spin-1/2 chain with exchange interaction and random onsite disorder of strength . As a representative pairwise correlation measure obtained from one-point functions only, we use global entanglement. Through its finite size scaling analysis, we locate the MBL critical point at . As for measures involving two-point functions, we analyze pairwise geometric classical, quantum, and total correlations. Similarly to what happens for continuous quantum phase transitions, it is the derivatives of these two-point correlation measures that identify the MBL critical point, which is found to be in the range . Our approach relies on very simple measures that do not require access to multipartite entanglement or large portions of the system.
arXiv comment7 pages, 3 figures
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