Quantum transport in an environment parametrized by dispersive bosons

Abstract

We generalize the two-channel (Edwards) fermion-boson model describing quantum transport in a background medium to the more realistic case of dispersive bosons. Using the variational exact diagonalization technique, we numerically solve the extended model in a one-dimensional setting, for both downward and upward curved boson dispersion, and show that going away from the previous Einstein-boson assumption has profound consequences for the particle transport. Specifically, we analyze the ground-state and spectral properties and demonstrate the renormalization of the particle's coherent band, effective mass, photoemission spectra and fermion-boson correlation functions due to the interplay of fluctuations and correlations in a dispersive environment.

8 pages, 13 figures

References in corpus (4)

• The Kernel Polynomial Method
• Boson-controlled quantum transport
• Quantum phase transition in a 1D transport model with boson affected hopping: Luttinger liquid versus charge-density-wave behavior
• Particularities of polaron formation in the extended Holstein model with next nearest neighbor transfer

Cited by in corpus (1)

• Metal-insulator transition of spinless fermions coupled to dispersive optical bosons