A new self-consistent basis generation scheme for polaron and bipolaron systems

Abstract

We have developed a new self-consistent scheme of generating variational basis based on the exactdiagonalization, which can be applied efficiently to various types of electron-phonon systems. This scheme is quite general and brings down the size of the variational space by an order of magnitude or even more in some cases to reproduce the most precise ground state energies and correlation functions available in the literature. This method has enormous potential for application to systems with more electrons or in higher dimensions, which are still beyond the reach of exact-diagonalization just because of the sheer size of their variational space needed to get reasonably convergent results.

4 pages, 3 figures, submitted to PRB

References in corpus (2)

• Ground state properties of the Holstein model near the adiabatic limit
• Study of the one dimensional Holstein model using the augmented space approach

Cited by in corpus (10)

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• Numerically Exact Generalized Green's Function Cluster Expansions for Electron-Phonon Problems
• Edwards polaron formation : From one to three dimension
• Orbital Effects of Strong Magnetic Field on a 2-D Holstein Polaron
• Particularities of polaron formation in the extended Holstein model with next nearest neighbor transfer
• paces: Parallelized Application of Co-Evolving Subspaces, a method for computing quantum dynamics on GPUs
• Role of long-range coupling on the properties of single polarons in models with dual electron-phonon couplings