Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2003-09-16
J. Phys. Soc. Jpn. 73 (2004) 340
Physics
Condensed Matter
Statistical Mechanics
17 pages, 4 figures
Scientific paper
10.1143/JPSJ.73.340
We apply a recently developed stochastic method to the Shastry-Sutherland model on 4x4 and 8x8 lattices. This method, which we call the Stochastic State Selection Method here, enables us to evaluate expectation values of powers of the Hamiltonian with very limited number of states. In this paper we first apply it to the 4x4 Shastry-Sutherland system, where one can easily obtain the exact ground state, in order to demonstrate that the method works well for this frustrated system. We numerically show that errors of the evaluations depend much on representations of the states and that the restructured representation is better than the normal one for this model. Then we study the 8x8 system to estimate energy eigenvalues of the lowest S=1 state as well as of the lowest excited 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 Operator Variational method, support that an intermediate spin-gap phase exists between the singlet dimer phase and the magnetically ordered phase. Estimates of the critical coupling and of the spin gap for the transition from the dimer phase to the intermediate phase are also presented.
Munehisa Tomo
Munehisa Yasuko
No associations
LandOfFree
The Stochastic State Selection Method for Energy Eigenvalues in the Shastry-Sutherland Model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Stochastic State Selection Method for Energy Eigenvalues in the Shastry-Sutherland Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Stochastic State Selection Method for Energy Eigenvalues in the Shastry-Sutherland Model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-690297