The Stochastic State Selection Method Combined with the Lanczos Approach to Eigenvalues in Quantum Spin Systems

Details The Stochastic State Selection Method Combined with the Lanczos Approach to Eigenvalues in Quantum Spin Systems The Stochastic State Selection Method Combined with the Lanczos Approach to Eigenvalues in Quantum Spin Systems

2005-05-27

arxiv.org/abs/cond-mat/0505661v3

J. Phys.: Condens. Matter 18 (2006) 2327-2335

Physics

Condensed Matter

Strongly Correlated Electrons

11 pages

Scientific paper

10.1088/0953-8984/18/7/018

We describe a further development of the stochastic state selection method, a new Monte Carlo method we have proposed recently to make numerical calculations in large quantum spin systems. Making recursive use of the stochastic state selection technique in the Lanczos approach, we estimate the ground state energy of the spin-1/2 quantum Heisenberg antiferromagnet on a 48-site triangular lattice. Our result for the upper bound of the ground state energy is -0.1833 +/- 0.0003 per bond. This value, being compatible with values from other work, indicates that our method is efficient in calculating energy eigenvalues of frustrated quantum spin systems on large lattices.

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