Heavy-Electron Formation and Bipolaronic Transition in the Anharmonic Holstein Model

Details Heavy-Electron Formation and Bipolaronic Transition in the Anharmonic Holstein Model Heavy-Electron Formation and Bipolaronic Transition in the Anharmonic Holstein Model

2011-10-04

arxiv.org/abs/1110.0648v2

J. Phys. Soc. Jpn., 81, 044701 (2012)

Physics

Condensed Matter

Strongly Correlated Electrons

11 pages, 13 figures

Scientific paper

10.1143/JPSJ.81.044701

The emergence of the bipolaronic phase and the formation of the heavy-electron state in the anharmonic Holstein model are investigated using the dynamical mean-field theory in combination with the exact diagonalization method. For a weak anharmonicity, it is confirmed that the first-order polaron-bipolaron transition occurs from the observation of a discontinuity in the behavior of several physical quantities. When the anharmonicity is gradually increased, the polaron-bipolaron transition temperature is reduced as well as the critical values of the electron-phonon coupling constant for polaron-bipolaron transition. For a strong anharmonicity, the polaron-bipolaron transition eventually changes to a crossover behavior. The effect of anharmonicity on the formation of the heavy-electron state near the polaron-bipolaron transition and the crossover region is discussed in detail.

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