Institute of Theoretical Physics, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland.
Phys Rev Lett. 2012 Nov 2;109(18):187202. doi: 10.1103/PhysRevLett.109.187202.
Using extensive classical and quantum Monte Carlo simulations, we investigate the ground-state phase diagram of the fully frustrated transverse field Ising model on the square lattice. We show that pure columnar order develops in the low-field phase above a surprisingly large length scale, below which an effective U(1) symmetry is present. The same conclusion applies to the quantum dimer model with purely kinetic energy, to which the model reduces in the zero-field limit, as well as to the stacked classical version of the model. By contrast, the 2D classical version of the model is shown to develop plaquette order. Semiclassical arguments show that the transition from plaquette to columnar order is a consequence of quantum fluctuations.
利用广泛的经典和量子蒙特卡罗模拟，我们研究了完全受挫横场伊辛模型在正方形晶格上的基态相图。我们表明，在相当大的长度尺度之上，在低场相中会出现纯柱状有序，在该尺度之下存在有效的 U(1)对称性。这一结论同样适用于具有纯动能的量子二聚体模型，该模型在零场极限下简化为该模型，以及模型的堆叠经典版本。相比之下，二维经典模型被证明会发展出平面有序。半经典论证表明，从平面到柱状有序的转变是量子涨落的结果。
