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arXiv 0712.0267cond-mat.stat-mech
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弱阻挫极限下的一致阻挫二维XY模型

The uniformly frustrated two-dimensional XY model in the limit of weak frustration

Vincenzo Alba, Andrea Pelissetto, Ettore Vicari

摘要:

我们考虑二维均匀阻挫XY模型在小阻挫极限下的情况,它等价于一个XY系统,例如一个约瑟夫森结阵列,在一个沿正交于晶格方向施加的弱均匀磁场中。我们表明,均匀的挫折(相当于磁场)不稳定的线的不动点,其特征的临界行为的XY模型T <= T_{KT},其中T_{KT}是Kosterlitz无磁转变温度:该系统是顺磁在任何温度下足够小的挫折。我们预测的临界行为的相关长度和规范不变的磁磁化率的挫折趋于零。这些预测得到了数值模拟的充分证实。

英文摘要:

We consider the two-dimensional uniformly frustrated XY model in the limit of small frustration, which is equivalent to an XY system, for instance a Josephson junction array, in a weak uniform magnetic field applied along a direction orthogonal to the lattice. We show that the uniform frustration (equivalently, the magnetic field) destabilizes the line of fixed points which characterize the critical behaviour of the XY model for T <= T_{KT}, where T_{KT} is the Kosterlitz-Thouless transition temperature: the system is paramagnetic at any temperature for sufficiently small frustration. We predict the critical behaviour of the correlation length and of gauge-invariant magnetic susceptibilities as the frustration goes to zero. These predictions are fully confirmed by the numerical simulations.

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