A Renormalization Group Method for Quasi One-dimensional Quantum Hamiltonians

Details A Renormalization Group Method for Quasi One-dimensional Quantum Hamiltonians A Renormalization Group Method for Quasi One-dimensional Quantum Hamiltonians

2002-10-30

arxiv.org/abs/cond-mat/0210668v2

Phys. Rev. B 67, 092405 (2003)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 4 figures

Scientific paper

10.1103/PhysRevB.67.092405

A density-matrix renormalization group (DMRG) method for highly anisotropic two-dimensional systems is presented. The method consists in applying the usual DMRG in two steps. In the first step, a pure one dimensional calculation along the longitudinal direction is made in order to generate a low energy Hamiltonian. In the second step, the anisotropic 2D lattice is obtained by coupling in the transverse direction the 1D Hamiltonians. The method is applied to the anisotropic quantum spin half Heisenberg model on a square lattice.

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