Optical properties of small polarons from dynamical mean-field theory

Abstract

The optical properties of polarons are studied in the framework of the Holstein model by applying the dynamical mean-field theory. This approach allows to enlighten important quantitative and qualitative deviations from the limiting treatments of small polaron theory, that should be considered when interpreting experimental data. In the antiadiabatic regime, accounting on the same footing for a finite phonon frequency and a finite electron bandwidth allows to address the evolution of the optical absorption away from the well-understood molecular limit. It is shown that the width of the multiphonon peaks in the optical spectra depends on the temperature and on the frequency in a way that contradicts the commonly accepted results, most notably in the strong coupling case. In the adiabatic regime, on the other hand, the present method allows to identify a wide range of parameters of experimental interest, where the electron bandwidth is comparable or larger than the broadening of the Franck-Condon line, leading to a strong modification of both the position and the shape of the polaronic absorption. An analytical expression is derived in the limit of vanishing broadening, which improves over the existing formulas and whose validity extends to any finite-dimensional lattice. In the same adiabatic regime, at intermediate values of the interaction strength, the optical absorption exhibits a characteristic reentrant behavior, with the emergence of sharp features upon increasing the temperature -- polaron interband transitions -- which are peculiar of the polaron crossover, and for which analytical expressions are provided.

arXiv comment16 pages, 6 figures

References in corpus (10)

• Dynamical mean-field theory of the small polaron
• On the self-trapping problem of electrons or excitons in one dimension
• Optical spectral weights and the ferromagnetic transition temperature of CMR manganites: relevance of double-exchange to real materials
• Franck-Condon-Broadened Angle-Resolved Photoemission Spectra Predicted in LaMnO3
• The small polaron crossover: comparison between exact results and vertex correction approximation
• Calculation of excited polaron states in the Holstein model
• Charge-transfer metal-insulator transitions in the spin-one-half Falicov-Kimball model
• Optical absorption and activated transport in polaronic systems
• Spectral properties and isotope effect in strongly interacting systems: Mott-Hubbard insulator and polaronic semiconductor
• Pairing and polarization in systems with retarded interactions

Cited by in corpus (28)

• Electrodynamics of Correlated Electron Materials
• Froehlich Polaron and Bipolaron: Recent Developments
• Electron-phonon interaction and charge carrier mass enhancement in SrTiO3
• Doping and temperature-dependent optical properties of oxygen-reduced BaTiO3-d
• Polarons and slow quantum phonons
• Optical conductivity of the Holstein polaron
• Displaced Drude peak and bad metal from the interaction with slow fluctuations
• Spectral and thermodynamic properties of the Holstein polaron: Hierarchical equations of motion approach
• Polaronic features in the optical properties of the Holstein-t-J model
• On the nature of the optical conductivity of polaron
• Phase diagram of the Holstein polaron in one dimension
• Finite-temperature optical conductivity with density-matrix renormalization group methods for the Holstein polaron and bipolaron with dispersive phonons
• Transient localization from the interaction with quantum bosons
• Holstein polaron transport from numerically "exact" real-time quantum dynamics simulations
• Cumulant expansion in the Holstein model: Spectral functions and mobility
• Vertex corrections to conductivity in the Holstein model: A numerical-analytical study
• Diagrammatic content of the DMFT for the Holstein polaron problem in finite dimensions
• Signatures of polaronic charge ordering in optical and dc conductivity using dynamical mean field theory
• Electronic transport in AlMn(Si) and AlCuFe quasicrystals: Break-down of the semiclassical model
• Dynamical quantum typicality: Simple method for investigating transport properties applied to the Holstein model
• Charge transport limited by nonlocal electron-phonon interaction. I. Hierarchical equations of motion approach
• Polaron physics and crossover transition in magnetite probed by pressure-dependent infrared spectroscopy
• Light bipolarons in a system of electrons coupled to dispersive optical phonons
• Thermal and optical conductivity in the Holstein model at half filling and at finite temperature in the Luttinger-liquid and charge-density-wave regime
• Periodically driven small polarons
• Phonon-enhanced optical spin-conductivity and spin-splitter effect in altermagnets
• Optical properties of the Holstein-t-J model from dynamical mean-field theory
• Electronic Excitations and Insulator-Metal Transition in Poly(3-hexylthiophene) Organic Field-Effect Transistors