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The many-body localization phase transition

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arxiv 1010.1992 v1 pith:GHY6ITO7 submitted 2010-10-11 cond-mat.dis-nn

Arijeet Pal , David A. Huse This is my paper · ORCID
classification cond-mat.dis-nn
keywords transitionlocalizationmany-bodyphaseeigenstatesexaminefieldrandom
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abstract

We use exact diagonalization to explore the many-body localization transition in a random-field spin-1/2 chain. We examine the correlations within each many-body eigenstate, looking at all high-energy states and thus effectively working at infinite temperature. For weak random field the eigenstates are thermal, as expected in this nonlocalized, "ergodic" phase. For strong random field the eigenstates are localized, with only short-range entanglement. We roughly locate the localization transition and examine some of its finite-size scaling, finding that this quantum phase transition at nonzero temperature might be showing infinite-randomness scaling with a dynamic critical exponent $z\rightarrow\infty$.

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Cited by 5 Pith papers

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