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We apply a recently developed stochastic method to the Shastry-Sutherlandmodel on 4x4 and 8x8 lattices. This method, which we call the Stochastic StateSelection Method here, enables us to evaluate expectation values of powers ofthe Hamiltonian with very limited number of states. In this paper we firstapply it to the 4x4 Shastry-Sutherland system, where one can easily obtain theexact ground state, in order to demonstrate that the method works well for thisfrustrated system. We numerically show that errors of the evaluations dependmuch on representations of the states and that the restructured representationis better than the normal one for this model. Then we study the 8x8 system toestimate energy eigenvalues of the lowest S=1 state as well as of the lowestexcited S=0 state, where S denotes the total spin of the system. The results,which are in good accordance with our previous data obtained by the OperatorVariational method, support that an intermediate spin-gap phase exists betweenthe singlet dimer phase and the magnetically ordered phase. Estimates of thecritical coupling and of the spin gap for the transition from the dimer phaseto the intermediate phase are also presented.Comment: 17 pages, 4 figure

The Stochastic State Selection Method for Energy Eigenvalues in the Shastry–Sutherland Model