Scaling of the disorder operator at deconfined quantum criticality
Scaling of the disorder operator at deconfined quantum criticality
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DOI：
10.21468/scipostphys.13.6.123
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发表时间：
2021-06
期刊：
影响因子：
5.5
通讯作者：
Yan-Cheng Wang;Nvsen Ma;M. Cheng;Z. Meng
中科院分区：
文献类型：
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作者：
Yan-Cheng Wang;Nvsen Ma;M. Cheng;Z. Meng
利用大尺度量子MonteCarlo模拟方法研究了J-Q3 J −Q3模型中（2+1）d量子临界点处无序参数的标度行为.我们发现，U（1）自旋旋转对称性的无序参数表现出周边缩放与对数校正与该地区的尖角，一般预期的共形不变的临界点。然而，当旋转角较大时，对数角点修正的普适系数变为负值，这在任何幺正共形场论中都是不允许的。我们还从小旋转角标度中提取了电流中心电荷，其值远小于自由理论的值。
We study scaling behavior of the disorder parameter, defined as the expectation value of a symmetry transformation applied to a finite region, at the deconfined quantum critical point in (2+1)d in the J-Q_3J−Q3 model via large-scale quantum Monte Carlo simulations. We show that the disorder parameter for U(1) spin rotation symmetry exhibits perimeter scaling with a logarithmic correction associated with sharp corners of the region, as generally expected for a conformally-invariant critical point. However, for large rotation angle the universal coefficient of the logarithmic corner correction becomes negative, which is not allowed in any unitary conformal field theory. We also extract the current central charge from the small rotation angle scaling, whose value is much smaller than that of the free theory.