We study the effective mass of the bipolarons and essentially the possibility to get both light and strongly bound bipolarons in the Holstein-Hubbard model and some variations in the vicinity of the adiabatic limit. Several approaches to investigate the quantum mobility of polarons and bipolarons are proposed for this model. First, the quantum fluctuations are treated as perturbations of the me...

We study a lattice bipolaron on a staggered triangular ladder and triangular and hexagonal lattices with both long-range electron-phonon interaction and strong Coulomb repulsion using a novel continuous-time quantum Monte Carlo algorithm to solve the two-particle Coulomb-Fröhlich model. The algorithm is preceded by an exact integration over phonon degrees of freedom, and as such is extremely ef...

We consider the bipolaron in the Pekar–Tomasevich approximation and address the question whether the ground state is spherically symmetric or not. Numerical analysis has, so far, not completely settled the question. Our contribution is to prove rigorously that the ground state remains spherical for small values of the electron-electron Coulomb repulsion.

A correlation is established between the theories of superconductivity based on concept charge density waves (CDW) and translation invariant (TI) bipolaron theory. It shown that CDW are originated from TI-bipolaron states in pseudogap phase due to Kohn anomaly form a pair wave (PDW) for vectors corresponding nesting. Emerging phase, coexist with at temperatures below superconducting transition ...

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