Topological entanglement entropy of Z2 spin liquids and lattice Laughlin states
Topological entanglement entropy of Z2 spin liquids and lattice Laughlin states
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DOI：
10.1103/physrevb.84.075128
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发表时间：
2011-08-09
影响因子：
3.7
通讯作者：
Vishwanath, Ashvin
中科院分区：
文献类型：
--
作者：
Zhang, Yi;Grover, Tarun;Vishwanath, Ashvin
研究了SU（2）对称带隙自旋液体和Laughlin态的候选波函数的纠缠性质。这些波函数是通过Gutzwiller投影技术得到的。以拓扑纠缠熵γ为工具，我们建立了手征自旋液体和Z（2）自旋液体波函数的拓扑序，以及Laughlin态的晶格形式。我们的结果与场论结果γ = log D非常吻合，其中D是相的总量子维数。所有的计算都是使用蒙特卡罗技术在12 x 12的晶格上进行的，使我们能够提取具有小的有限尺寸效应的伽马。对于手征自旋液体波函数，计算值在理想值的4%以内。我们还发现很好的协议的晶格版本的Laughlin Nu = 1/3阶段与预期的伽马=日志根3。
We study entanglement properties of candidate wave functions for SU(2) symmetric gapped spin liquids and Laughlin states. These wave functions are obtained by the Gutzwiller projection technique. Using topological entanglement entropy gamma as a tool, we establish topological order in chiral spin liquid and Z(2) spin liquid wave functions, as well as a lattice version of the Laughlin state. Our results agree very well with the field theoretic result gamma = log D where D is the total quantum dimension of the phase. All calculations are done using a Monte Carlo technique on a 12 x 12 lattice enabling us to extract gamma with small finite-size effects. For a chiral spin liquid wave function, the calculated value is within 4% of the ideal value. We also find good agreement for a lattice version of the Laughlin nu = 1/3 phase with the expected gamma = log root 3.