Finite-temperature phase transition to a Kitaev spin liquid phase on a hyperoctagon lattice: A large-scale quantum Monte Carlo study

Finite-temperature phase transition to a Kitaev spin liquid phase on a hyperoctagon lattice: A large-scale quantum Monte Carlo study
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DOI:
10.1103/physrevb.96.125124
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发表时间:
2017-06
期刊:
影响因子:
3.7
通讯作者:
P. A. Mishchenko;Y. Kato;Y. Motome
P. A. Mishchenko;Y. Kato;Y. Motome
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
P. A. Mishchenko;Y. Kato;Y. Motome

文献摘要

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量子自旋液体是绝缘磁体中的一种神秘的量子态,其常规的长程序被强量子涨落所抑制。最近,在三维超蜂窝晶格基塔耶夫模型中,低温量子自旋液体与高温顺磁体之间发生了非常规相变。在这里,我们展示了类似的“液气”跃迁发生在另一个三维晶格中,即超八边形晶格。我们通过采用基于格林函数的蒙特卡罗技术和核多项式方法来研究关键现象,该技术可以对多达2048个位点进行系统分析。临界温度低于超蜂窝情况,反映了较小的通量间隙。我们还在各向异性极限下的有效模型的基础上讨论了过渡问题。
The quantum spin liquid is an enigmatic quantum state in insulating magnets, in which conventional long-range order is suppressed by strong quantum fluctuations. Recently, an unconventional phase transition was reported between the low-temperature quantum spin liquid and the high-temperature paramagnet in the Kitaev model on a three-dimensional hyperhoneycomb lattice. Here, we show that a similar "liquid-gas" transition takes place in another three-dimensional lattice, the hyperoctagon lattice. We investigate the critical phenomena by adopting the Green-function based Monte Carlo technique with the kernel polynomial method, which enables systematic analysis of up to 2048 sites. The critical temperature is lower than that in the hyperhoneycomb case, reflecting the smaller flux gap. We also discuss the transition on the basis of an effective model in the anisotropic limit.