Alternating chain with Hubbard-type interactions: Renormalization group analysis

Alternating chain with Hubbard-type interactions: renormalization group analysis

The canonical transformation diagonalizing the one-particle tight binding Hamiltonian for an alternating chain with two non-equivalent sites per unit cell has been used to introduce the Hubbard-like interactions (on-site, intersite, bond-site and intra-bond) in the corresponding two-band model. The considerations have been restricted to the particular case, suggested by the undistorted 3/4-fill...

Renormalization group approach to the one-dimensional 1/4-filled Hubbard model with alternating on-site interactions

The one-dimensional Hubbard model with different on-site interactions is investigated by renormalization group technique. In the case of a 1/4filled band the dynamical nonequivalence of sites leads to the appearance of Umklapp processes in the system and to the dynamical generation of a gap in the charge excitation spectrum for Ua 6= Ub, Ua > 0 or Ub > 0. The groundstate phase diagram is obtain...

Application of Contractor Renormalization Group (CORE) to the Heisenberg zig-zag and the Hubbard chain

The COntractor REnormalization group method was devised in 1994 by Morningstar and Weinstein. It was primarily aimed at extracting the physics of lattice quantum field theories (like lattice Quantum Chromodynamics). However, it is a general method of analyzing Hamiltonian lattice systems, e.g. Ising, Heisenberg or Hubbard models. The aim of this work is to show the application of CORE to one-di...

Bridging steady states with renormalization group analysis.

Transitions between different condensed phases, molecular conformations, chemical compositions, or spatiotemporal patterns play important roles in many branches of natural science and at the same time incur serious challenges in their precise characterization. We design an approach for computing connecting orbits bridging steady states based on the renormalization group analysis. The technique ...

Renormalization Group Renormalization Group