Abstract
We describe a variational approach for solving the Holstein polaron model with dynamical quantum phonons on an infinite lattice. The method is simple, fast, extremely accurate, and gives ground and excited state energies and wavefunctions at any momentum k. The method can also be used to calculate coherent quantum dynamics for inelastic tunneling and for strongly driven polarons far from equilibrium.
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REFERENCES
A. W. Romero, D. W. Brown, and K. Lindenberg, J. Chem. Phys., 109, 6540 (1998). cond-mat/9710321, and references therein.
D. Emin and C. F. Hart, Phys. Rev. B 36, 2530 (1987), and references therein.
R. Kummel, H. Rauh, and E. Bangert, Phys. Stat. Sol. (b) 87, 99 (1978).
T. Holstein, Ann. Phys. 8, 325 (1959).
G. D. Mahan, Many-Particle Physics (Plenum, New York, 1981).
Janez Bonca, S. A. Trugman, and I. Batista, cond-mat/9812252.
B. Gerlach and H. Lowen, Rev. Mod. Phys. 63, 63 (1991).
Janez Bonca and S. A. Trugman, Phys. Rev. Lett. 75, 2566 (1995).
Janez Bona and S. A. Trugman, Phys. Rev. Lett. 79, 4874 (1997).
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Trugman, S.A., Bonča, J. The Polaron: Ground State, Excited States, and Far from Equilibrium. Journal of Superconductivity 12, 221–223 (1999). https://doi.org/10.1023/A:1007791502523
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DOI: https://doi.org/10.1023/A:1007791502523