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Logarithmic entanglement growth in two-dimensional disordered fermionic systems (1906.03503v2)
Published 8 Jun 2019 in cond-mat.dis-nn, cond-mat.stat-mech, and cond-mat.str-el
Abstract: We investigate the growth of the entanglement entropy $S_{\textrm{ent}}$ following global quenches in two-dimensional free fermion models with potential and bond disorder. For the potential disorder case we show that an intermediate weak localization regime exists in which $S_{\textrm{ent}}(t)$ grows logarithmically in time $t$ before Anderson localization sets in. For the case of binary bond disorder near the percolation transition we find additive logarithmic corrections to area and volume laws as well as a scaling at long times which is consistent with an infinite randomness fixed point.
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