Exact results for spatial decay of correlations in low-dimensional insulators

Article

关键词: DENSITY-MATRIX;   

DOI  :  10.1103/PhysRevB.72.233106

来源: SCIE

【 摘 要 】

We study decay rates of one-body reduced density matrices in insulators, described by a tight-binding model, where not only an external potential but also hoppings are spatially modulated. We determine analytically the power in the power law and the correlation length in D=1 case and in several lattice directions in D=2 case. Unlike the uniform hopping case, in the D=1 system and in some directions of the D=2 system the correlation length is not determined uniquely by the gap. Moreover, a crossover from D=2 decay rates to D=1 ones is investigated.

【 授权许可】

Free