Transverse Magnetic Field Coupling Effects on the Topology of Phase Diagrams of 2-D Ising Model
Keywords:
exchange interaction, order-disorder, phase diagram, topology, transverse magnetic field, transverse Ising model (TIM).Abstract
The response behavior of the topology of various phase diagrams corresponding to different physico-chemical systems have been studied. Our study rely on using the 2-D transverse field ising model and considering only distinct nearest neighbor pair-exchange interaction. We calculate phase diagrams in the polarization-temperature phase space with the aid of the Mathcad computer software. The theory is based on the simple temperature dependence of the potential parameters in the TIM within the framework of the mean field theory approximation. We developed the more complex reentrant phase diagram that is common with some binary fluids, colloids, proteins and many more systems. And by parameter modifications we obtained some common and exotic phase diagrams that corresponding to those obtained both experimentally and theoretically. A qualitative analysis of the topological influence of the transverse magnetic field coupling is discussed.
References
[1] M. Greiner, O. Mandel, T. Esslinger, T. W. Hansch, and I. Bloch, Nature (London) 415, 39 (2002).
[2] H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena (Oxford University Press, Oxford, 1987).
[3] P. Chaikin and T. Lubensky, Principles of Condensed Matter Physics (Cambridge University Press, Cambridge, 1995).
[4] N. Goldenfeld, Lectures on Phase transitions and renormalization group (Addison-Wesley, Reading, Massacusetts, 1992).
[5] J. Cardy, Scaling and Renormalization in Statistical Physics (Cambridge University Press, Cambridge, 1996).
[6] S. K. Ma, Modern theory of critical phenomena (Benjamin, Reading, Massachusetts, 1976).
[7] G. Mussardo, Statistical Field Theory (Oxford University Press, Oxford, 2010).
[8] H. Nishimori and G. Ortiz, Elements of Phase Transitions and Critical Phenomena (Oxford University Press, Oxford, 2010)
[9] D. J. Amit, Field theory, renormalization group and critical phenomena (World Scientific, Singapore, 1984).
[10] J. Jinn-Zustin, Quantum field theory and critical phenomena (Clarendon Press, Oxford, 1989).
[11] K. G. Wilson and J. B. Kogut, Physics Reports 12C, 75 (1974).
[12] G. Parisi, Statistical Field theory (Addison-Wesley, Reading, Massachusetts, 1988)
[13] X.F. Jiang, J.L. Li, J.L. Zhong, C.Z. Yang, Phys. Rev. B 47 (1993) 827.
[14] K. Htoutou, A. Oubelkacem, A. Ainane, M. Saber, J. Magn. Magn. Mater. 288(2005) 259.
[15] W. Jiang, L.Q. Guo, G. Wei, A. Du, Physica B 307 (2001) 15.
[16] W. Jiang, G. Wei, Z.H. Xin. 2001.Phys. Status Solidi B 225 pp215.
[17] Y. Yuksel and H. Polat. 2010. Journal of Magnetism and Magnetic Materials 322. pp3907–3916
[18] C. L. Wang, W. L. Zhong, and P. L. Zhang. J. Phys.: Condens. Matter, 3 (1992) 4743.
[19] T. Kaneyoshi. Physica A, 293 (2001) 200
[20] J. M. Wesselinowa. Solid State Comm., 121 (2002) 489.
[21] A. Saber, S. Lo Russo, G. Mattei, and A Mattoni. JMMM, 251 (2002) 129
[22] B. J. Simons, B. H. Teng, S. Zhou, L. Zhou, X. Chen, M. Wu and H. Fu. Chem. Phys. Lett., 605–606 (2014) 121
[23] S. H. Chen, J. Rouch, F. Sciortino, and P. Tartaglia Chen. J. Phys.: Condens. Matter, 6 (1994) 10855.
[24] L. A. Davies, G. Jackson, and L. F. Rull. Phys. Rev. Lett., 82 (1999) 5285.
[25] X. Campi and H. Krivine. Europhys. Lett., 66 (4) (2004) 527.
Downloads
Published
Issue
Section
License
Copyright (c) IJSRSET
This work is licensed under a Creative Commons Attribution 4.0 International License.