平面自旋手征向列相的对偶性论证
Duality Argument for the Chiral-Nematic Phase of Planar Spins
摘要：
本文对最近发现的XY模型在三角晶格中的手征位相提出了一种对偶性论证。我们发现，一个新的伊辛变量自然出现在映射反铁磁J1-J2的经典XY自旋哈密顿到一个适当的Villain模型的三角晶格。新的变量是手征自由度，它存在于除了通常的涡变量，在对偶图片。基本激发和相关的相变的伊辛自由度进行了详细讨论。
英文摘要：
A duality argument for the recently discovered chiral-nematic phase of the XY model in a triangular lattice is presented. We show that a new Ising variable naturally emerges in mapping the antiferromagnetic J1-J2 classical XY spin Hamiltonian onto an appropriate Villain model on a triangular lattice. The new variable is the chirality degree of freedom, which exists in addition to the usual vortex variables, in the dual picture. Elementary excitations and the associated phase transition of the Ising degrees of freedom are discussed in some detail.
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