Many-body localization phase transition
Many-body localization phase transition
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DOI：
10.1103/physrevb.82.174411
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发表时间：
2010-11-09
影响因子：
3.7
通讯作者：
Huse, David A.
中科院分区：
文献类型：
--
作者：
Pal, Arijeet;Huse, David A.
我们利用精确对角化方法研究了自旋为1/2的无规场链中的多体局域化跃迁。我们检查每个多体本征态内的相关性，查看所有高能态，从而有效地在无限温度下工作。对于弱随机场的本征态是热的，正如预期在这个非局域化，“遍历”阶段。对于强随机场，本征态是局域的，只有短程纠缠。我们粗略地定位了局域化跃迁，并研究了它的一些有限尺寸标度，发现这种量子相变在非零温度下可能表现出无限随机标度，动态临界指数z ->无穷大。
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 ->infinity.