Inelastic Quantum Transport
Strongly Correlated Electrons
2009-10-30 v1
Abstract
We solve a Schrodinger equation for inelastic quantum transport that retains full quantum coherence, in contrast to previous rate or Boltzmann equation approaches. The model Hamiltonian is the zero temperature 1d Holstein model for an electron coupled to optical phonons (polaron), in a strong electric field. The Hilbert space grows exponentially with electron position, forming a non-standard Bethe lattice. We calculate nonperturbatively the transport current, electron-phonon correlations, and quantum diffusion. This system is a toy model for the constantly branching ``wavefunction of the universe''.
Cite
@article{arxiv.cond-mat/9705063,
title = {Inelastic Quantum Transport},
author = {Janez Bonca and S. A. Trugman},
journal= {arXiv preprint arXiv:cond-mat/9705063},
year = {2009}
}
Comments
revtex, 13 pages, 4 figures