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

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

2008-05-14

arxiv.org/abs/0805.2171v1

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

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, 3 figures

Scientific paper

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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