Ground-state dispersion and density of states from path-integral Monte Carlo: Application to the lattice polaron

被引:41
作者
Kornilovitch, PE [1 ]
机构
[1] Univ London Imperial Coll Sci Technol & Med, Blackett Lab, London SW7 2BZ, England
来源
PHYSICAL REVIEW B | 1999年 / 60卷 / 05期
关键词
D O I
10.1103/PhysRevB.60.3237
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A formula is derived that relates the ground-state dispersion of a many-body system with the end-to-end distribution of paths with open boundary conditions in imaginary time. The formula does not involve the energy estimator. It allows direct measurement of the ground-state dispersion by quantum Monte Carlo methods without analytical continuation or auxiliary fitting. The formula is applied to the lattice polaron problem. The exact polaron spectrum and density of states are calculated for several models in one, two, and three dimensions. In the adiabatic regime of the Holstein model, the polaron density of states deviates spectacularly from the free-particle shape. [S0163-1829(99)05529-0].
引用
收藏
页码:3237 / 3243
页数:7
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