83 citations · 232 across the 10 of their papers we have counts for
10 papers
Franck-Condon Factors as Spectral Probes of Polaron Structure
David W. Brown, Aldo H. Romero, Katja Lindenberg
We apply the Merrifield variational method to the Holstein molecular crystal model in D dimensions to compute non-adiabatic polaron band energies and Franck-Condon factors at gener…
Electron-Phonon Correlations, Polaron Size, and the Nature of the Self-Trapping Transition
A. H. Romero, David W. Brown, Katja Lindenberg
We analyze electron-phonon correlation functions measured in 1D polaron ground states of the Holstein Hamiltonian using the Global-Local variational method. The spatial collapse of…
Effects of dimensionality and anisotropy on the Holstein polaron
Aldo H. Romero, David W. Brown, Katja Lindenberg
We apply weak-coupling perturbation theory and strong-coupling perturbation theory to the Holstein molecular crystal model in order to elucidate the effects of anisotropy on polaro…
The breakdown of adiabatic polaron theory in one, two, and three dimensions and the reformation of the large polaron concept
Aldo H. Romero, David W. Brown, Katja Lindenberg
We prove variationally that at weak coupling in one, two, and three dimensions there exist correlated electron-phonon states below the approximate ground states characteristically…
Polaron Effective Mass, Band Distortion, and Self-Trapping in the Holstein Molecular Crystal Model
Aldo H. Romero, David W. Brown, Katja Lindenberg
We present polaron effective masses and selected polaron band structures of the Holstein molecular crystal model in 1-D as computed by the Global-Local variational method over a wi…
Exact weak-coupling radius of the Holstein polaron in one, two, and three dimensions
Aldo H. Romero, David W. Brown, Katja Lindenberg
We apply weak-coupling perturbation theory to the Holstein molecular crystal model in order to compute an electron-phonon correlation function characterizing the shape and size of…
Electronic Kinetic Energy in the Polaron Ground State and the Location of the Self-Trapping Transition
A. H. Romero, David W. Brown, Katja Lindenberg
In this paper we discuss the electronic kinetic energy in the ground state of the Holstein Hamiltonian in one space dimension using the Global-Local variational method together wit…
The Self-Trapping Line of the Holstein Molecular Crystal Model in One Dimension
A. H. Romero, David W. Brown, Katja Lindenberg
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 en…
Solving the Holstein molecular crystal model
Aldo H. Romero, David W. Brown, Katja Lindenberg
We present selected results for the Holstein molecular crystal model in one space dimension as determined by the Global-Local variational method, including complete polaron energy…
A Variational Approach to Nonlocal Exciton-Phonon Coupling
Yang Zhao, David W. Brown, Katja Lindenberg
In this paper we apply variational energy band theory to a form of the Holstein Hamiltonian in which the influence of lattice vibrations (optical phonons) on both local site energi…