用对偶涡旋自由度表征晶格对称性破缺
Characterizing symmetry breaking patterns in a lattice by dual vortex degree of freedoms
摘要：
量子场论中的对偶变换通常首先通过配分函数建立。在变换过程中，探索各种关联函数之间的对偶关系一直是很重要的。本文利用这种对偶关系研究三角晶格上1/3（2/3）填充的扩展玻色子哈伯德模型的量子相位和相变.我们系统地发展了一种简单而有效的方法，利用对偶晶格上的涡旋自由度来刻画直接晶格中玻色子绝缘态的密度波和价键对称性破缺模式。除了棋盘形电荷密度波（X-CDW）和条形CDW外，我们还发现了一种新的CDW-VBS相，它同时具有局部CDW和局部价键固体（VBS）有序。QMC模拟的影响。讨论了在光晶格上加载冷原子的可能实验实现。
英文摘要：
A duality transformation in quantum field theory is usually established first through partition functions. It is always important to explore the dual relations between various correlation functions in the transformation. Here, we explore such a dual relation to study quantum phases and phase transitions in an extended boson Hubbard model at 1/3 (2/3) filling on a triangular lattice. We develop systematically a simple and effective way to use the vortex degree of freedoms on dual lattices to characterize both the density wave and valence bond symmetry breaking patterns of the boson insulating states in the direct lattices. In addition to a checkerboard charge density wave (X-CDW) and a stripe CDW, we find a novel CDW-VBS phase which has both local CDW and local valence bond solid (VBS) orders. Implications on QMC simulations are addressed. The possible experimental realizations of cold atoms loaded on optical lattices are discussed.
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