Third boundary of the Shastry-Sutherland Model by Numerical Diagonalization

Abstract

The Shastry-Sutherland model --- the $S=1/2$ Heisenberg antiferromagnet on the square lattice accompanied by orthogonal dimerized interactions --- is studied by the numerical-diagonalization method. Large-scale calculations provide results for larger clusters that have not been reported yet. The present study successfully captures the phase boundary between the dimer and plaquette-singlet phases and clarifies that the spin gap increases once when the interaction forming the square lattice is increased from the boundary. Our calculations strongly suggest that in addition to the edge of the dimer phase given by $J_2/J_1\sim 0.675$ and the edge of the N$\acute{\mathrm{e}}$el-ordered phase given by $J_2/J_1\sim 0.76$, there exists a third boundary ratio $J_2/J_1\sim 0.70$ that divides the intermediate region into two parts, where $J_1$ and $J_2$ denote dimer and square-lattice interactions, respectively.

5 pages, 8 figures, to be published in J. Phys. Soc. Jpn

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• SrCu${}_2$(BO${}_3$)${}_2$ under pressure: a first-principle study
• Certification of quantum states with hidden structure of their bitstrings
• Magnetization process of the S=1/2 Heisenberg antiferromagnet on the floret pentagonal lattice
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• Neural Network Quantum States analysis of the Shastry-Sutherland model
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• Numerical Study of S=1/2 Heisenberg Antiferromagnet on the Floret Pentagonal Lattice
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• Numerical Diagonalization Study of the Phase Boundaries of the S=2 Heisenberg Antiferromagnet on the Orthogonal Dimer Lattice