Polarons and slow quantum phonons

Abstract

We describe the formation and properties of Holstein polarons in the entire parameter regime. Our presentation focuses on the polaron mass and radius, which we obtain with an improved numerical technique. It is based on the combination of variational exact diagonalization with an improved construction of phonon states, providing results even for the strong coupling adiabatic regime. In particular we can describe the formation of large and heavy adiabatic polarons. A comparison of the polaron mass for the one and three dimensional situation explains how the different properties in the static oscillator limit determine the behavior in the adiabatic regime. The transport properties of large and small polarons are characterized by the f-sum rule and the optical conductivity. Our calculations are approximation-free and have negligible numerical error. This allows us to give a conclusive and impartial description of polaron formation. We finally discuss the implications of our results for situations beyond the Holstein model.

Final version, 10 pages, 10 figures

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• The Kernel Polynomial Method
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• The Green's Function of the Holstein Polaron
• Microscopic modelling of doped manganites
• Boson-controlled quantum transport
• Ground state properties of the Holstein model near the adiabatic limit
• Optical absorption and activated transport in polaronic systems
• Phase diagram of the Holstein polaron in one dimension
• Survival of the Dirac points in rippled graphene
• Solution of the Holstein polaron anisotropy problem
• Relevant coherent states method for the quantum adiabatic dynamics of lattice-coupled charge carriers

Cited by in corpus (32)

• Quantum phase transition in the Dicke model with critical and non-critical entanglement
• Nonequilibrium dynamics of the Holstein polaron driven by external electric field
• Real-time decay of a highly excited charge carrier in the one-dimensional Holstein model
• Quantum Floquet engineering with an exactly solvable tight-binding chain in a cavity
• On the Munn-Silbey approach to polaron transport with off-diagonal coupling
• Finite-temperature density-matrix renormalization group method for electron-phonon systems: Thermodynamics and Holstein-polaron spectral functions
• Optical conductivity of the Holstein polaron
• Momentum average approximation for models with boson-modulated hopping: Role of closed loops in the dynamical generation of a finite quasiparticle mass
• The polaron paradigm: a dual coupling effective band model
• Spatiotemporal evolution of polaronic states in finite quantum systems
• On the nature of the optical conductivity of polaron
• Perturbation theory of the mass enhancement for a polaron coupled to acoustic phonons
• Density waves in strongly correlated quantum chains
• Impact of Dresselhaus vs. Rashba spin-orbit coupling on the Holstein polaron
• Discontinuous polaron transition in a two-band model
• Emergence of states in the phonon spectral function of the Holstein polaron below and above the one-phonon continuum
• Numerically Exact Generalized Green's Function Cluster Expansions for Electron-Phonon Problems
• A spectral function tour of electron-phonon coupling outside the Migdal limit
• Impact of spin-orbit coupling on the Holstein polaron
• On the vibron nature in the system of two parallel macromolecular chains: the influence of interchain coupling
• A new self-consistent basis generation scheme for polaron and bipolaron systems
• Optical signatures of exciton-polarons from diagrammatic Monte Carlo
• On the vibron dressing in the $\alpha$--helicoidal macromolecular chains
• The extended vs standard Holstein model; results in two and three dimensions
• Properties of the single-site reduced density matrix in the Bose-Bose resonance model in the ground state and in quantum quenches
• Edwards polaron formation : From one to three dimension
• The Effect of Next-Nearest Neighbour Hopping in the One, Two, and Three Dimensional Holstein Model
• The Holstein Polaron Problem Revisited
• Particularities of polaron formation in the extended Holstein model with next nearest neighbor transfer
• The one-dimensional Holstein model revisited
• Adiabatic theory of the polaron spectral function
• Role of long-range coupling on the properties of single polarons in models with dual electron-phonon couplings