Abstract
In this letter, the most common quantum Hamiltonian is exploited in order to compare the definite equivalences, corresponding to possible spin values in a lattice gas model, to those in a spin-1 Ising model. Our approach also requires interpolating both results in a p-state clock model, in order to find the hidden symmetries of both under consideration models.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Stanely, H.E.: Introduction to phase transitions and critical phenomena. Oxford University Press, Oxford (1971)
Fisher, M.E.: Rep. Prog. Phys. 30, 615 (1967)
Wilson, K.G., Kogut, J.: Phys. Rep. 12, 75 (1974)
Fisher, M.E.: Rev. Mod. Phys. 46, 597 (1974)
Wilson, K.G.: Rev. Mod. Phys. 47, 773 (1975)
Wallace, D.J., Zia, R.K.P.: Rep. Prog. Phys. 41, 1 (1978)
Barber, M.N.: Phys. Rep. 29, 1 (1977)
Wu, F.Y.: Rev. Mod. Phys. 54, 235 (1982)
Kogut, J.B.: Rev. Mod. Phys. 51, 659 (1979)
Kosterlitz, J.M., Thouless, D.J.: Two-dimensional physics. In: Brewer, D.F. (ed.) Progress in low temperature physics, vol. VIIB. North-Holland, Amesterdam (1978)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Payandeh, F. The Hidden Symmetries of Spin-1 Ising Lattice Gas for Usual Quantum Hamiltonians. Int J Theor Phys 55, 861–866 (2016). https://doi.org/10.1007/s10773-015-2728-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-015-2728-6