Large-Scale Numerical-Diagonalization Study of the Shastry-Sutherland Model

Abstract

The $S=1/2$ Heisenberg antiferromagnet on the orthogonal-dimer lattice (Shastry-Sutherland model) is studied by the Lanczos diagonalization method. The properties of this model are determined by the ratio of two interactions, namely, $r=J_2/J_1$, where $J_1$ denotes the amplitude of spin interactions at orthogonal dimers and the interactions represented by $J_2$ form the square lattice. We focus our attention on the edge of the phase in which the dimer state is realized as the exact ground state. Our large-scale calculations of diagonalizations treating finite-size clusters including 44 and 48 spin sites successfully detect the target edge. Our conclusion is that the ratio for the edge is $r=0.6754(2)$. This estimate is compared with an experimental result from electron spin resonance measurements.

arXiv comment6 pages, 3 figures, 1 table, to be published in JPS Conf. Proc

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Cited by in corpus (2)

• Schwinger boson symmetric spin liquids of Shastry-Sutherland model
• Numerical Diagonalization Study of the Phase Boundaries of the S=2 Heisenberg Antiferromagnet on the Orthogonal Dimer Lattice