Quantum Physics Division
Faculty of PhysicsAdam Mickiewicz University
Publications

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

K. Cichy1 , P. Tomczak1

1 Institute of Physics, A. Mickiewicz University Umultowska 85, 61-614 Poznań, Poland

Acta Physica Polonica A, Vol. 111, No. 5, 773-780 (2007)

Abstract:

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-dimensional quantum systems -- the Heisenberg zig-zag model and the Hubbard chain. As a test of the method, the ground state energy of these systems will be calculated.

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