Analytical calculation of the Green's function and Drude weight for a correlated fermion-boson system
arXiv:0906.4625 · doi:10.1088/1742-6596/220/1/012023
Abstract
In classical Drude theory the conductivity is determined by the mass of the propagating particles and the mean free path between two scattering events. For a quantum particle this simple picture of diffusive transport loses relevance if strong correlations dominate the particle motion. We study a situation where the propagation of a fermionic particle is possible only through creation and annihilation of local bosonic excitations. This correlated quantum transport process is outside the Drude picture, since one cannot distinguish between free propagation and intermittent scattering. The characterization of transport is possible using the Drude weight obtained from the f-sum rule, although its interpretation in terms of free mass and mean free path breaks down. For the situation studied we calculate the Green's function and Drude weight using a Green's functions expansion technique, and discuss their physical meaning.
final version, minor corrections
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- Phase separation in the Edwards model
- Edwards polaron formation : From one to three dimension
- A Green's function decoupling scheme for the Edwards fermion-boson model
- Charge-order melting in the one-dimensional Edwards model
- Quantum transport in an environment parametrized by dispersive bosons