Alternative transfer-matrix approach to two-dimensional systems with competing interactions in one direction
Physical Review B, ISSN: 0163-1829, Vol: 36, Issue: 13, Page: 7091-7099
1987
- 17Citations
- 1Captures
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Article Description
A transfer-matrix representation in terms of Pauli spin matrices is used to perform a phenomenological renormalization and finite-size scaling analysis of two-dimensional spin models with competing interactions in one direction. This enables us to obtain the leading eigenvalues of the transfer matrix with a significative saving of computer time using the Lanczos scheme. The phase diagrams of the axial next-nearest-neighbor Ising model and a model with competing two- and four-spin couplings in one direction are studied. The order of the phase transitions was determined by examining the finite-size scaling behavior of the persistence length. Data for the normalized scaled persistence length display scaling on the ferromagnetic-paramagnetic transition line for both models. © 1987 The American Physical Society.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=0007823041&origin=inward; http://dx.doi.org/10.1103/physrevb.36.7091; http://www.ncbi.nlm.nih.gov/pubmed/9942433; https://link.aps.org/doi/10.1103/PhysRevB.36.7091; http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevB.36.7091/fulltext; http://link.aps.org/article/10.1103/PhysRevB.36.7091
American Physical Society (APS)
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