Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2010-10-11
Phys. Rev. B 82, 174411 (2010)
Physics
Condensed Matter
Disordered Systems and Neural Networks
7 pages, 8 figures. Extended version of arXiv:1003.2613v1
Scientific paper
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 $z\rightarrow\infty$.
Huse David A.
Pal Arijeet
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