Bond-Peierls polaron: Moderate mass enhancement and current-carrying ground state

Abstract

We study polarons in the one-dimensional Bond-Peierls electron-phonon model, in which phonons on bonds of a lattice modulate the hopping of electrons between lattice sites, and contrast the results to those known for the Breathing-Mode Peierls problem. By inspecting the atomic limit, we show that polaronic dressing and mass enhancement of Bond-Peierls polarons depend on the momentum dependence of the phonons. For dispersionless phonons, Bond-Peierls polarons are perfectly localized in the atomic limit, unlike their Breathing-mode counterparts, because the carrier creates a string of phonon excitations that can only be annihilated via processes that retrace the carrier to its original site. However, inclusion of phonon dispersion leads to a non-divergent polaron mass even in the atomic limit and depending on the form of the phonon dispersion may lead to a transition to a non-zero-momentum ground state akin to that found in the Breathing-mode Peierls model.

6 pages, 4 figures

References in corpus (4)

• The Green's Function of the Holstein Polaron
• Peierls/Su-Schrieffer-Heeger polarons in two dimensions
• Numerically Exact Generalized Green's Function Cluster Expansions for Electron-Phonon Problems
• Fractons from frustration in hole-doped antiferromagnets

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• "Quantum bipolaron" superconductivity from quadratic electron-phonon coupling
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• Soliton States From Quadratic Electron-Phonon Interaction
• Semi-classical theory of bipolaronic superconductivity in a bond-modulated electron-phonon model
• Magnetic, charge, and bond order in the two-dimensional Su-Schrieffer-Heeger-Holstein model
• Light polarons with electron-phonon coupling
• Effect of dispersive optical phonons on the properties of Bond Su-Schrieffer-Heeger polaron
• The Generalized Green's function Cluster Expansion: A Python package for simulating polarons
• Extrapolation of polaron properties to low phonon frequencies by Bayesian machine learning
• Physically interpretable approximations of many-body spectral functions
• Role of long-range coupling on the properties of single polarons in models with dual electron-phonon couplings
• Applicability of the cumulant expansion method for the calculation of transport properties in electron-phonon systems