A Mean-field Calculation for the Three-Dimensional Holstein Model
Chuan Liu, Qiang Luo
TL;DR
This paper derives a path integral formulation suitable for Monte Carlo simulations of the 3D Holstein model and analyzes its phase transitions using mean-field theory.
Contribution
It introduces a new path integral approach for the 3D Holstein model and explores its phase behavior within mean-field approximation.
Findings
Identification of charge density wave transition
Discussion of superconducting phase transition
Development of a Monte Carlo compatible formulation
Abstract
A path integral representation appropriate for further Monte Carlo simulations is derived for the electron-phonon Holstein model in three spatial dimensions. The model is studied within mean-field theory. Charge density wave and superconducting phase transitions are discussed.
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Taxonomy
TopicsOcean Waves and Remote Sensing