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Equilibrium charge distribution in a finite chain with a trap
N. S. Fialko, M. M. Olshevets, V. D. Lakhno
Abstract:
The paper considers the problem of the distribution of a quantum particle in a classical one-dimensional lattice with a potential well. The cases of a rigid chain, a Holstein polaron model, and a polaron in a chain with temperature are investigated by direct modeling at fixed parameters. As is known, in the one-dimensional case, a particle is captured by an arbitrarily shallow potential well with an increase of the box size. In the case of a finite chain and finite temperatures, we have quite the opposite result, when a particle, being captured in a well in a short chain, turns into delocalized state with an increase in the chain length.
Keywords:
charge, potential well, Holstein model, Langevin equation, thermodynamic equilibrium state.
Citation:
N. S. Fialko, M. M. Olshevets, V. D. Lakhno, “Equilibrium charge distribution in a finite chain with a trap”, Keldysh Institute preprints, 2020, 101, 18 pp.
Linking options:
https://www.mathnet.ru/eng/ipmp2892 https://www.mathnet.ru/eng/ipmp/y2020/p101
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