Optical conductivity of the Holstein polaron

Abstract

The Momentum Average approximation is used to derive a new kind of non-perturbational analytical expression for the optical conductivity (OC) of a Holstein polaron at zero temperature. This provides insight into the shape of the OC, by linking it to the structure of the polaron's phonon cloud. Our method works in any dimension, properly enforces selection rules, can be systematically improved, and also generalizes to momentum-dependent couplings. Its accuracy is demonstrated by a comparison with the first detailed set of three-dimensional numerical OC results, obtained using the approximation-free diagrammatic Monte Carlo method.

7 pages, 4 figures

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• Finite-temperature density-matrix renormalization group method for electron-phonon systems: Thermodynamics and Holstein-polaron spectral functions
• Coexistence of excited polarons and metastable delocalized states in photo-induced metals
• Spectral and thermodynamic properties of the Holstein polaron: Hierarchical equations of motion approach
• On the nature of the optical conductivity of polaron
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• Finite-temperature optical conductivity with density-matrix renormalization group methods for the Holstein polaron and bipolaron with dispersive phonons
• Numerically Exact Generalized Green's Function Cluster Expansions for Electron-Phonon Problems
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• Vertex corrections to conductivity in the Holstein model: A numerical-analytical study
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• Dynamical quantum typicality: Simple method for investigating transport properties applied to the Holstein model
• All-coupling polaron optical response: analytic approaches beyond the adiabatic approximation
• Diagrammatic quantum Monte Carlo toward the calculation of transport properties in disordered semiconductors
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• The Generalized Green's function Cluster Expansion: A Python package for simulating polarons
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• Thermal and optical conductivity in the Holstein model at half filling and at finite temperature in the Luttinger-liquid and charge-density-wave regime
• Summing Real Time Feynman Paths of Lattice Polaron with Matrix Product States
• Dynamical response of ultracold interacting fermion-boson mixtures
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• Diagrammatic quantum Monte Carlo study of an acoustic lattice polaron