具有Zp对称性的系统对扭曲的响应
Response to a twist on systems with Zp symmetry
摘要：
我们研究了具有离散Zp对称性的二维p态时钟模型对扭曲的响应。响应是根据螺旋模量来测量的，螺旋模量通常是相对于无穷小的扭曲来定义的。然而，我们证明，这样的定义是不合适的时钟模型。螺旋模量必须相对于一个有限的，量化的扭曲相匹配的离散Zp对称的模型来定义。最近的数值结果，这对标准的图片，两个Berezinskiiii-Kosterlitz-无跃迁发生p > 4的怀疑，而不是使用不适当的数量的后果。适当定义的螺旋系数的数值计算确实支持标准的图片。
英文摘要：
We study response to a twist in the two-dimensional p-state clock model, which has the discrete Zp symmetry. The response is measured in terms of helicity modulus, which is usually defined with respect to an infinitesimal twist. However, we demonstrate that such a definition is inappropriate for the clock model. The helicity modulus must be defined with respect to a finite, quantized twist which matches the discrete Zp symmetry of the model. Recent numerical results, which casted doubt on the standard picture that two Berezinskii-Kosterlitz-Thouless transitions occur for p > 4, are rather a consequence of use of the inappropriate quantity. Numerical calculation of the appropriately defined helicity modulus indeed supports the standard picture.
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