Related papers: Absence of diffusion and fractal geometry in the Holstein model at high temperature

Absence of diffusion and fractal geometry in the Holstein model at high temperature

URL: http://arxiv.org/abs/2007.00817v1
Date: Thu, 2 Jul 2020 00:16:16 GMT
Title: Absence of diffusion and fractal geometry in the Holstein model at high temperature
Authors: Chen-Yen Lai and S. A. Trugman
Abstract summary: We investigate the dynamics of an electron coupled to dispersionless optical phonons at high temperatures. In one dimension, the electron moves in a constant direction and does not turn around. In two dimensions, the electron follows and then continues to retrace a fractal trajectory.
Score: 0.24366811507669126
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We investigate the dynamics of an electron coupled to dispersionless optical phonons in the Holstein model, at high temperatures. The dynamics is conventionally believed to be diffusive, as the electron is repeatedly scattered by optical phonons. In a semiclassical approximation, however, the motion is not diffusive. In one dimension, the electron moves in a constant direction and does not turn around. In two dimensions, the electron follows and then continues to retrace a fractal trajectory. Aspects of these nonstandard dynamics are retained in more accurate calculations, including a fully quantum calculation of the electron and phonon dynamics.

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