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KIAM Preprint № 101, Moscow, 2020
Authors: Fialko N.S., Olshevets M.M., Lakhno V. D.
Equilibrium charge distribution in a finite chain with a trap
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.
charge, potential well, Holstein model, Langevin equation, thermodynamic equilibrium state
Publication language: russian,  pages: 18
Research direction:
Mathematical modelling in actual problems of science and technics
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About authors:
  • Fialko Nadezhda Sergeevna, RAS
  • Olshevets Maxim Maximovich, RAS
  • Lakhno Victor Dmitrievich, RAS