Effects of dimensionality and anisotropy on the Holstein polaron
Aldo H. Romero, David W. Brown, Katja Lindenberg
Abstract
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 polaron properties in D dimensions. The ground state energy is considered as a primary criterion through which to study the effects of anisotropy on the self-trapping transition, the self-trapping line associated with this transition, and the adiabatic critical point. The effects of dimensionality and anisotropy on electron-phonon correlations and polaronic mass enhancement are studied, with particular attention given to the polaron radius and the characteristics of quasi-1D and quasi-2D structures. Perturbative results are confirmed by selected comparisons with variational calculations and quantum Monte Carlo data.
Create a lesson
Related papers
Metallogenic quantum criticality: Fermi surface nucleation at transitions between gapped phases
Zhengyan Darius Shi
Exact Stiffness and Dynamical Responses from Fock-Space Fragmentation
Jonah Herzog-Arbeitman, Eslam Khalaf, Zhaoyu Han
A continuous confinement-deconfinement transition in a triangular quantum magnet
Suguru Hosoi, Sejun Park, Michihiro Hirata et al.
Multi-orbital physics in inverse Lieb lattice altermagnets
Mercè Roig, Jannik Gondolf, Andreas Kreisel et al.
3D- (H-theta-phi) magnetic phase diagram of antiferromagnetic metal GdB6 with electron and lattice instability
A. N. Azarevich, A. V. Bogach, T. F. Garipova et al.
Interlayer-engineering of Charge Order Wave Vector in Kagome Metals
Muntafa M. Mahi, Quazi D. M. Khosru, M. Zahid Hasan et al.