Edwards polaron formation : From one to three dimension

Abstract

Employing a self-consistent (optimized) variational diagonalization scheme, we investigate the formation of polaronic quasiparticles in a spinless fermion-boson transport model that couples the movement of charge carriers to fluctuations and correlations of a background medium. The background is parameterized by bosonic degrees of freedom. The variational fermion-boson Hilbert space is constructed to achieve high accuracy in one to three spatial dimensions with modest computational requirements. To characterize the ground-state properties of the Edwards model in the single-particle sector, we present exact numerical results for the polaron band dispersion, quasiparticle weight, Drude weight, mass enhancement, and the particle-boson correlations in a wide parameter regime. In the Edwards model, transport will be quasifree, diffusive or boson-assisted in the weakly fermion-boson coupled, fluctuation-dominated or strongly correlated regimes, respectively. Thereby correlated transport is not only assisted but also limited by the bosonic excitations. As a result, the Drude weight remains finite even in the limit of very small boson frequencies. For a strongly correlated background, closed loops are important, in any dimension, to generate a finite effective particle mass even when the free fermion has an infinite mass.

9 pages 13 figures

References in corpus (8)

• Boson-controlled quantum transport
• Quantum phase transition in a 1D transport model with boson affected hopping: Luttinger liquid versus charge-density-wave behavior
• Interacting Holstein and extended-Holstein bipolarons
• Correlation-induced metal insulator transition in a two-channel fermion-boson model
• A new self-consistent basis generation scheme for polaron and bipolaron systems
• Study of the one dimensional Holstein model using the augmented space approach
• Unconventional superconductivity and interaction induced Fermi surface reconstruction in the two-dimensional Edwards model
• Orbital Effects of Strong Magnetic Field on a 2-D Holstein Polaron

Cited by in corpus (7)

• The polaron paradigm: a dual coupling effective band model
• Phonon-mediated repulsion, sharp transitions and (quasi)self-trapping in the extended Peierls-Hubbard model
• Entanglement-spectrum characterization of ground-state nonanalyticities in coupled excitation-phonon models
• Particularities of polaron formation in the extended Holstein model with next nearest neighbor transfer
• Quantum transport in an environment parametrized by dispersive bosons
• Role of long-range coupling on the properties of single polarons in models with dual electron-phonon couplings
• paces: Parallelized Application of Co-Evolving Subspaces, a method for computing quantum dynamics on GPUs