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摘要翻译：
我们分析了横向场中一维量子伊辛模型临界点附近的标度参数，该标度参数是从两种基态的保真度中提取的。发现在热力学极限下，标度参数是奇异的，其对数函数关于横向场强的导数在临界点处是对数发散的。通过对不同尺寸的系统进行有限尺寸的标度分析，验证了标度行为在临界点上符合共形不变性。这使得我们可以提取相关长度临界指数，结果表明，相关长度临界指数既不依赖于各向异性参数，也不依赖于横向场强，因此具有普适性。
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英文标题：
《Fidelity approach to quantum phase transitions: finite size scaling for
quantum Ising model in a transverse field》
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作者：
Huan-Qiang Zhou, Jian-Hui Zhao and Bo Li
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics 物理学
二级分类：Strongly Correlated Electrons 强关联电子
分类描述：Quantum magnetism, non-Fermi liquids, spin liquids, quantum criticality, charge density waves, metal-insulator transitions
量子磁学，非费米液体，自旋液体，量子临界性，电荷密度波，金属-绝缘体跃迁
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英文摘要：
We analyze the scaling parameter, extracted from the fidelity for two different ground states, for the one-dimensional quantum Ising model in a transverse field near the critical point. It is found that, in the thermodynamic limit, the scaling parameter is singular, and the derivative of its logarithmic function with respect to the transverse field strength is logarithmically divergent at the critical point. The scaling behavior is confirmed numerically by performing a finite size scaling analysis for systems of different sizes, consistent with the conformal invariance at the critical point. This allows us to extract the correlation length critical exponent, which turns out to be universal in the sense that the correlation length critical exponent does not depend on either the anisotropic parameter or the transverse field strength.
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PDF链接：
https://arxiv.org/pdf/704.294
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