Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
1999-02-28
Physics
Condensed Matter
Strongly Correlated Electrons
8 pages, 9 figures
Scientific paper
10.1103/PhysRevB.60.3237
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.
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