Inelastic Quantum Transport

Details Inelastic Quantum Transport Inelastic Quantum Transport

1997-05-07

arxiv.org/abs/cond-mat/9705063v1

Physics

Condensed Matter

Strongly Correlated Electrons

revtex, 13 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.79.4874

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''.

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