Search

We have developed a self-consistent scheme of generating variational basis based on the exact diagonalization, 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. [ABSTRACT FROM AUTHOR]

It is widely accepted that phonon-mediated high-temperature superconductivity is impossible at ambient pressure, because of the very large effective masses of polarons or bipolarons at strong electron-phonon coupling. Here we challenge this belief by showing that strongly bound yet very light bipolarons appear for strong Peierls coupling. These bipolarons also exhibit many other unconventional properties; e.g., at strong coupling there are two low-energy bipolaron bands that are stable against strong Coulomb repulsion. Using numerical simulations and analytical arguments, we show that these properties result from the specific form of the phonon-mediated interaction, which is of "pair hopping" instead of regular density-density type. This unusual effective interaction is bound to have nontrivial consequences for the superconducting state expected to arise at finite carrier concentrations and should favor a large critical temperature. [ABSTRACT FROM AUTHOR]

We investigate the orbital effects of a strong external magnetic field on the ground-state properties of a two-dimensional (2D) Holstein polaron, employing variational approaches based on exact diagonalization. From the ground-state energy and the wave function, we calculate the electron-phonon correlation function, the average phonon number, and the Drude weight and investigate the evolution of a 2D Holstein polaron as a function of the magnetic flux. Although the external magnetic field affects the polaron throughout the parameter regime, we show that the magnetic field has a stronger effect on a loosely bound (spatially extended) polaron. We also find that the magnetic field can be used as a tuning parameter, particularly for a weakly coupled polaron, to reduce the spatial extent of a large polaron. [ABSTRACT FROM AUTHOR]