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

Abstract

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.

8 pages, 9 figures

Cited by in corpus (31)

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• Superlight small bipolarons in the presence of strong Coulomb repulsion
• Quantum Monte Carlo and variational approaches to the Holstein model
• Spectral function of electron-phonon models by cluster perturbation theory
• Superconductivity and charge density wave order in the 2D Holstein model
• Langevin Simulations of a Long Range Electron Phonon Model
• Effect of electron-phonon interaction range on lattice polaron dynamics: a continuous-time quantum Monte Carlo study
• Effects of lattice geometry and interaction range on polaron dynamics
• Single polaron properties of the breathing-mode Hamiltonian
• Temperature- and quantum phonon effects on Holstein-Hubbard bipolarons
• Superlight small bipolarons
• Bose-Einstein condensation of strongly correlated electrons and phonons in cuprate superconductors
• Phase diagram of the Holstein polaron in one dimension
• Band structure of the Jahn-Teller polaron from Quantum Monte Carlo
• Isotope effect on the electron band structure of doped insulators
• Charge-Density Wave Order on a $\pi$-flux Square Lattice
• Quantum Monte Carlo study of an anharmonic Holstein model
• Polaron action for multimode dispersive phonon systems
• Holstein polaron in two and three dimensions by quantum Monte Carlo
• Effect of screening of the electron-phonon interaction on mass renormalization and optical conductivity of the Extended Holstein model polarons
• An approach for studying the influence of uniaxial strain (pressure) on the temperature of the Bose-Einstein condensation of intersite bipolarons: possible implementation for RBa${}_2$Cu${}_3$O${}_{7-\delta }$ cuprates
• Inhomogeneous dynamical mean field theory of the small polaron problem
• Mass of a lattice polaron from extended Holstein model using Yukawa potential
• Lattice exciton-polaron problem by quantum Monte Carlo simulations
• The end points in the dispersion of Holstein polarons
• Enhancement of Charge Density Wave Correlations in a Holstein Model with an Anharmonic Phonon Potential
• Periodically driven small polarons
• Diagrammatic quantum Monte Carlo study of an acoustic lattice polaron