Finite-lattice approach to the O(2) and O(3) models in 1 + 1 dimensions and the (2+1)-dimensional Ising model
- 15 June 1980
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 21 (12) , 3341-3349
- https://doi.org/10.1103/physrevd.21.3341
Abstract
The Lanczos scheme for finding low-lying eigenvalues of a sparse matrix of large dimension is applied to solving the Hamiltonian formulation for the O(2) and O(3) spin systems in 1 + 1 dimensions and the Ising model in 2 + 1 dimensions. We confirm results obtained for these models in other ways. The new method is shown to be competitive with the other methods available for solving these problems.Keywords
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