超晶格中硬核玻色子从超流到莫特绝缘体的转变
Superfluid to Mott-insulator transition of hardcore bosons in a superlattice
摘要：
研究了二维和三维公度超晶格中硬核玻色子的超流到莫特绝缘体（SF-MI）的转变。我们专注于特殊情况下，超晶格的周期为2，系统是在半填充。我们使用随机级数展开（SSE）算法得到了精确的数值结果，并计算了系统的各种性质，如基态能量、零动量模中玻色子的分数、超流密度和可压缩性.利用有限尺寸标度，我们找到了相变的临界点。我们还探讨了在何种程度上的近似解，如平均场论，有和没有自旋波修正，可以帮助一个获得分析洞察系统的行为附近的相变。
英文摘要：
We study the superfluid to Mott-insulator (SF-MI) transition of hardcore bosons in commensurate superlattices in two and three dimensions. We focus on the special case where the superlattice has period two and the system is at half filling. We obtain exact numerical results by using the stochastic series expansion (SSE) algorithm, and compute various properties of the system, such as the ground-state energy, the fraction of bosons in the zero-momentum mode, the superfluid density, and the compressibility. With finite-size scaling, we find the critical points of the phase transition. We also explore the extent to which several approximate solutions such as mean-field theory, with and without spin-wave corrections, can help one gain analytical insight into the behavior of the system in the vicinity of the phase transition.
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