The Self-Trapping Line of the Holstein Molecular Crystal Model in One Dimension
arXiv:cond-mat/9806031 · doi:10.1103/PhysRevB.60.4618
Abstract
The ground state of the Holstein molecular crystal model in one dimension is studied using the Global-Local variational method, analyzing in particular the total energy, kinetic energy, phonon energy, and interaction energy over a broad region of the polaron parameter space. Through the application of objective criteria, a unique curve is identified that simply, accurately, and robustly locates the self-trapping transition separating small polaron and large polaron behavior.
References in corpus (5)
- Density matrix renormalization group study of the polaron problem in the Holstein model
- Mobile small polaron
- Continuous-Time Quantum Monte Carlo Algorithm for the Lattice Polaron
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Cited by in corpus (13)
- The Green's Function of the Holstein Polaron
- Quantum Monte Carlo and variational approaches to the Holstein model
- Digital Quantum Simulation of the Holstein Model in Trapped Ions
- Effect of electron-phonon interaction range on lattice polaron dynamics: a continuous-time quantum Monte Carlo study
- Variational study of the Holstein polaron
- Effects of dimensionality and anisotropy on the Holstein polaron
- Single polaron properties of the breathing-mode Hamiltonian
- Polaron Crossover in Molecular Solids
- Electron-Phonon Correlations, Polaron Size, and the Nature of the Self-Trapping Transition
- Green's and spectral functions of the small Frolich polaron
- Energy transfer in finite-size exciton-phonon systems : confinement-enhanced quantum decoherence
- Thermodynamic properties of Holstein polarons and the effects of disorder
- Franck-Condon Factors as Spectral Probes of Polaron Structure