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Simulation of the electron-phonon interaction in infinite dimensions

J. K. Freericks·Mark Jarrell
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Abstract

The electron-phonon interaction corresponding to the Holstein model (with Coulomb repulsion) is simulated in infinite dimensions using a novel quantum Monte Carlo algorithm. The thermodynamic phase diagram includes commensurate charge-density-wave phases, incommensurate charge-density-wave phases, and superconductivity. The crossover from a weak-coupling picture (where pairs both form and condense at $T_c$) to a strong-coupling picture (where preformed pairs condense at $T_c$) is illustrated with the onset of a double-well structure in the effective phonon potential.

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J. K. Freericks, Mark Jarrell. 1994-03-14. Simulation of the electron-phonon interaction in infinite dimensions. https://arxiv.org/abs/cond-mat/9403048

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