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

Abstract

We present a quantum cluster solver for spin-$S$ 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.

willm appear in J. Phys. A

References in corpus (3)

• The density-matrix renormalization group
• Exact ground states of quantum spin-2 models on the hexagonal lattice
• Theoretical studies of the phase transition in the anisotropic 2-D square spin lattice

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