三角晶格上的三体相互作用
Three-body interactions on a triangular lattice
摘要：
我们分析了三角格子上的三体排斥和最近邻排斥的核心玻色-哈伯德模型。相图是用半经典近似和量子蒙特卡罗模拟得到的。对于只有三体相互作用的系统，超固相和三分之一固体都消失了，而三分之二固体稳定存在。由于玻色子的热行为具有最近邻排斥性，固体和超流分别发生三态Potts和Kosterlitz-Less型相变。在同时存在最近邻两体和三体相互作用的系统中，超固体和三分之一固体复活。通过调整三体相互作用的强度，相图被扭曲，因为三分之一固体和超固体被抑制。
英文摘要：
We analyze the hard-core Bose-Hubbard model with both the three-body and nearest neighbor repulsions on the triangular lattice. The phase diagram is achieved by means of the semi-classical approximation and the quantum Monte Carlo simulation. For a system with only the three-body interactions, both the supersolid phase and one third solid disappear while the two thirds solid stably exists. As the thermal behavior of the bosons with nearest neighbor repulsion, the solid and the superfluid undergo the 3-state Potts and the Kosterlitz-Thouless type phase transitions, respectively. In a system with both the frustrated nearest neighbor two-body and three-body interactions, the supersolid and one third solid revive. By tuning the strength of the three-body interactions, the phase diagram is distorted, because the one-third solid and the supersolid are suppressed.
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