Phase transition and critical correlation functions in the spin-1/2Ising model on a diamond lattice
- 20 July 1980
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 13 (20) , 3909-3920
- https://doi.org/10.1088/0022-3719/13/20/013
Abstract
The critical properties of the spin-1/2 Ising ferromagnet on a diamond lattice are calculated using the Monte Carlo technique. The heat capacity, the susceptibility, the magnetisation, and various pair and multispin correlation functions are calculated as functions of the temperature. The critical temperature, and the critical parameters pertaining to the magnetisation, are determined. The results are consistent with series analyses. Using the critical values of the correlation functions, it is shown that the basic assumption in the theory of Frank and Mitran (1978) is not exact for the diamond lattice.Keywords
This publication has 24 references indexed in Scilit:
- The CPA difference equation and critical curves for the quenched dilute random-bond Ising modelJournal of Physics C: Solid State Physics, 1979
- On the PAD approximation in a theory for Ising pair-quartet interactionsJournal of Physics C: Solid State Physics, 1979
- Spin-operator reduced relations in a new representation for the Ising ferromagnetJournal of Physics C: Solid State Physics, 1978
- Critical exponents in a new integral representation for the Ising ferromagnetJournal of Physics C: Solid State Physics, 1978
- Critical correlation-function approximations for the Ising modelJournal of Physics C: Solid State Physics, 1978
- New integral representation for the spin S Ising ferromagnetSolid State Communications, 1978
- Test for the cumulant approximation in the critical regionJournal of Physics and Chemistry of Solids, 1978
- Integral representation for the spin Ising ferromagnetSolid State Communications, 1977
- Transition temperature in a new integral representation for the Ising ferromagnetJournal of Physics C: Solid State Physics, 1977
- Scaling Theory for Finite-Size Effects in the Critical RegionPhysical Review Letters, 1972