The present review will focus on recent development of exact-diagonalization (ED) methods
that use Lanczos algorithm to transform large sparse matrices onto the tridiagonal form. We …

In this paper we discuss experimental evidence related to the structure and origin of the
bosonic spectral function α2F (ω) in high‐temperature superconducting (HTSC) cuprates at …

A comprehensive picture of polaron and bipolaron physics is essential to understand the
optical absorption spectrum in many materials with electron-phonon interactions. In …

We study the real-time dynamics of a highly excited charge carrier coupled to quantum
phonons via a Holstein-type electron-phonon coupling. This is a prototypical example for the …

We investigate the thermodynamics and finite-temperature spectral functions of the Holstein
polaron using a density-matrix renormalization group method. Our method combines …

We study real-time dynamics of a charge carrier introduced into an undoped Mott insulator
propagating under a constant electric field F on the tJ ladder and a square lattice. We …

High temperature superconducting theory drew controversy after the discovery of
superconductors at close to room temperatures. However, a consistent microscopic theory of …

Nonequilibrium interplay between charge, spin, and lattice degrees of freedom on a square
lattice is studied for a single charge carrier doped in the tJ-Holstein model. In the presence …

Microscopic theory of a high T c cuprate Bi 2 Sr 2 CaCu 2 O 8+ x based on main pairing
channel of electrons in CuO planes due to 40mev lateral vibrations of the apical oxygen …

Using a variational numerical method, we compute the time evolution of the Hubbard-
Holstein bipolaron from its ground state when at t= 0 the constant electric field is switched …