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This article is cited in 3 scientific papers (total in 3 papers)
Quantum problem of polaron localization and justification of the Su–Schrieffer–Heeger approximation
V. N. Likhachev, G. A. Vinogradov Emanuel Institute for Biochemical Physics, RAS, Moscow,
Russia
Abstract:
We consider a polaron localized on a trap in a one-dimensional lattice with a harmonic potential of nearest-neighbor interaction. We study the lattice oscillations in the framework of quantum mechanics and regard the polaron energy as a functional of the wave function. We take the electron–phonon interaction into account in the framework of the linear Su–Schrieffer–Heeger approximation. We show that the results do not differ from the adiabatic consideration if the lattice oscillations are described classically. For the polaron ground state, we obtain approximate analytic expressions that agree well with the results of numerical simulation.
Keywords:
polaron, tight-binding approximation.
Received: 21.05.2018 Revised: 13.09.2018
Citation:
V. N. Likhachev, G. A. Vinogradov, “Quantum problem of polaron localization and justification of the Su–Schrieffer–Heeger approximation”, TMF, 199:2 (2019), 283–290; Theoret. and Math. Phys., 199:2 (2019), 719–725
Linking options:
https://www.mathnet.ru/eng/tmf9591https://doi.org/10.4213/tmf9591 https://www.mathnet.ru/eng/tmf/v199/i2/p283
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Abstract page: | 212 | Full-text PDF : | 51 | References: | 23 | First page: | 3 |
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