The magnetically dilute XY ferromagnet. III. Two-dimensional lattices
- 14 June 1977
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 10 (11) , 1941-1947
- https://doi.org/10.1088/0022-3719/10/11/028
Abstract
For pt.II see ibid., vol.9, p.2575 (1976). The two-dimensional spin-1/2 XY model is investigated for the two cases of quenched-site dilution and annealed-site dilution. On the square and triangular lattices, seven terms have been derived in the low-concentration expansion for the free energy and for the fluctuation in the perpendicular magnetization. Analysis of the fluctuation series provides evidence for a phase transition. High-temperature specific-heat curves are presented for possible comparison with experiment.Keywords
This publication has 20 references indexed in Scilit:
- The renormalization group method for quantum mechanical systems. I. The s = 1/2 XY model on the square latticeCanadian Journal of Physics, 1976
- Critical Phenomena in the Two-DimensionalModel Using a Real-Space Renormalization GroupPhysical Review Letters, 1975
- Isotropic magnets in two dimensionsJournal of Physics C: Solid State Physics, 1975
- Magnetic behaviour of CoCl2.6H2O and CoBr2.6H2O. Comparison with the quadratic, , XY modelPhysica B+C, 1975
- Series expansions for a generalized XY hamiltonianPhysica A: Statistical Mechanics and its Applications, 1975
- High-temperature specific heat and susceptibility of the quadratic model. Comparison with data on CoCl2.6H2O and CoBr2.6H2OSolid State Communications, 1974
- Cayley trees, the Ising problem, and the thermodynamic limitPhysical Review B, 1974
- Ordering, metastability and phase transitions in two-dimensional systemsJournal of Physics C: Solid State Physics, 1973
- Phase Transitions in Two-Dimensional Spin SystemsCanadian Journal of Physics, 1971
- Critical Points in Multicomponent SystemsPhysical Review A, 1970