English

Symmetry adapted finite-cluster solver for quantum Heisenberg model in two-dimensions: a real-space renormalization approach

Statistical Mechanics 2015-06-25 v1

Abstract

We present a quantum cluster solver for spin-SS Heisenberg model on a two-dimensional lattice. The formalism is based on the real-space renormalization procedure and uses the lattice point group-theoretical analysis and nonabelian SU(2) spin symmetry technique. The exact diagonalization procedure is used twice at each renormalization group step. The method is applied to the spin-half antiferromagnet on a square lattice and a calculation of local observables is demonstrated. A symmetry based truncation procedure is suggested and verified numerically.

Keywords

Cite

@article{arxiv.cond-mat/0612350,
  title  = {Symmetry adapted finite-cluster solver for quantum Heisenberg model in two-dimensions: a real-space renormalization approach},
  author = {V. E. Sinitsyn and I. G. Bostrem and A. S. Ovchinnikov},
  journal= {arXiv preprint arXiv:cond-mat/0612350},
  year   = {2015}
}

Comments

willm appear in J. Phys. A