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We present a quantum cluster solver for spin-$S$ Heisenberg model on atwo-dimensional lattice. The formalism is based on the real-spacerenormalization procedure and uses the lattice point group-theoretical analysisand nonabelian SU(2) spin symmetry technique. The exact diagonalizationprocedure is used twice at each renormalization group step. The method isapplied to the spin-half antiferromagnet on a square lattice and a calculationof local observables is demonstrated. A symmetry based truncation procedure issuggested and verified numerically.Comment: willm appear in J. Phys.

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