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Edwards polaron formation: From 1D to 3D | | M. Chakraborty
; N. Mohanta
; A. Taraphder
; B.I. Min
; H. Fehske
; | | Date: |
2 Feb 2016 | | 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
uctuations 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 a wide parameter regime, we
present exact numerical results for the polaron band dispersion, quasiparticle
weight, Drude weight, mass enhancement, and the particle-boson correlations. In
the Edwards model transport can be quasi-free, 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. | | Source: | arXiv, 1602.0891 | | Services: | Forum | Review | PDF | Favorites | |
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