Quantum Spins and Quasiperiodicity: a real space renormalization group approach

Details Quantum Spins and Quasiperiodicity: a real space renormalization group approach Quantum Spins and Quasiperiodicity: a real space renormalization group approach

2003-12-18

arxiv.org/abs/cond-mat/0312487v1

Physics

Condensed Matter

Strongly Correlated Electrons

To appear in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.92.047202

We study the antiferromagnetic spin-1/2 Heisenberg model on a two-dimensional bipartite quasiperiodic structure, the octagonal tiling -- the aperiodic equivalent of the square lattice for periodic systems. An approximate block spin renormalization scheme is described for this problem. The ground state energy and local staggered magnetizations for this system are calculated, and compared with the results of a recent Quantum Monte Carlo calculation for the tiling. It is conjectured that the ground state energy is exactly equal to that of the quantum antiferromagnet on the square lattice.

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