Consistent Scaling Exponents at the Deconfined Quantum-Critical Point
Consistent Scaling Exponents at the Deconfined Quantum-Critical Point
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DOI：
10.1088/0256-307x/37/5/057502
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发表时间：
2020-03
影响因子：
3.5
通讯作者：
A. Sandvik;B. Zhao 赵
中科院分区：
文献类型：
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作者：
A. Sandvik;B. Zhao 赵
本文报道了在正方晶格S = 1/2 J-Q模型中，对反铁磁固体基态和价键固体基态之间相变的量子Monte Carlo研究。Q项的临界相关函数给出了对应于相关长度指数值ν = 0.455 ± 0.002的标度维数。该值与常规方法的先前（不太精确）结果一致，例如，近临界序参量的有限尺度标度。我们还研究了L2格的序参数的Binder累积量的Q-导数，其中L ≤ 448。斜率随L1/ν增大，ν的值与Q项的标度维数一致。没有迹象表明失控流到一级相变。ν的相互一致的估计为连续的非限定量子临界点提供了令人信服的支持。
We report a quantum Monte Carlo study of the phase transition between antiferromagnetic and valence-bond solid ground states in the square-lattice S = 1/2 J–Q model. The critical correlation function of the Q terms gives a scaling dimension corresponding to the value ν = 0.455 ± 0.002 of the correlation-length exponent. This value agrees with previous (less precise) results from conventional methods, e.g., finite-size scaling of the near-critical order parameters. We also study the Q-derivatives of the Binder cumulants of the order parameters for L2 lattices with L up to 448. The slope grows as L1/ν with a value of ν consistent with the scaling dimension of the Q term. There are no indications of runaway flow to a first-order phase transition. The mutually consistent estimates of ν provide compelling support for a continuous deconfined quantum-critical point.