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arXiv 0704.1472cond-mat.str-elcond-mat.stat-mech
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具有Zq各向异性的三维XY模型中U(1)对称性的出现

Emergence of U(1) symmetry in the 3D XY model with Zq anisotropy

Jie Lou, Anders W. Sandvik, Leon Balents

摘要:

本文研究了具有Z_q各向异性项的三维XY模型。在温度T < Tc时,这种危险的不相关扰动只在长度尺度λ以上才相关,而长度尺度λ作为相关长度的幂而发散; λ ~ xi^a_q。在λ以下,序参量是U(1)对称的。我们导出了控制U(1)对称性出现的满标度函数,并利用Monte Carlo结果提取了q=4,.,8.我们发现a_q = a_4(q/4)^2,其中a_4仅略大于1。我们在量子自旋系统中分离反铁磁态和价键固态的“非限定”量子临界点处的U(1)对称性的背景下讨论了这些结果。

英文摘要:

We study the three-dimensional XY model with a Z_q anisotropic term. At temperatures T < Tc this dangerously irrelevant perturbation is relevant only above a length scale Lambda, which diverges as a power of the correlation length; Lambda ~ xi^a_q. Below Lambda the order parameter is U(1) symmetric. We derive the full scaling function controlling the emergence of U(1) symmetry and use Monte Carlo results to extract the exponent a_q for q=4,...,8. We find that a_q = a_4 (q/4)^2, with a_4 only marginally larger than 1. We discuss these results in the context of U(1) symmetry at "deconfined" quantum critical points separating antiferromagnetic and valence-bond-solid states in quantum spin systems.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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