Specific Heat of Square Spin Ice in Finite Point Ising-Like Dipoles Model

Article Preview

Abstract:

In the model of finite number (up to 24) of point Ising-like magnetic dipoles with magnetostatic interaction on square 2D lattice within the framework of statistical physics, with using Gibbs formalism and by the means of Metropolis algorithm the heating dependence of temperature has been evaluated. The temperature dependence of the heat capacity on finite number of point dipoles has the finite value of maximum. Together with increase of the system in size the heating peak grows and moves to the area with higher temperature. The obtained results are useful in experimental verification of statistical models, as well as in development and testing of approximate calculation methods of systems with great number of particles.

You might also be interested in these eBooks

Info:

Periodical:

Solid State Phenomena (Volume 245)

Pages:

23-27

Citation:

Online since:

October 2015

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2016 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] R. Wang, C. Nisoli, R. S. Freitas, J. Li, W. McConville, B. J. Cooley et. al. Artificial spin ice, in a geometrically frustrated lattice of nanoscale ferromagnetic islands. Nature 439 (2006) 303-306.

DOI: 10.1038/nature04447

Google Scholar

[2] C. Nisoli, R. Wang, J. Li, W. F. McConville, P. E. Lammert, P. Schiffer, V. H. Crespi. Ground state lost but degeneracy found: The effective thermodynamics of artificial spin ice. Physical review letters 98 (2007) 217203.

DOI: 10.1103/physrevlett.98.217203

Google Scholar

[3] C. Nisoli, J. Li, X. Ke, D. Garand, P. Schiffer, V. H. Crespi. Effective temperature in an interacting vertex system: theory and experiment on artificial spin ice. Physical review letters 105 (2010) 047205.

DOI: 10.1103/physrevlett.105.047205

Google Scholar

[4] Wang, Fugao, and D. P. Landau. Efficient, multiple-range random walk algorithm to calculate the density of states. Physical review letters 86. 10 (2001) (2050).

DOI: 10.1103/physrevlett.86.2050

Google Scholar

[5] Yamaguchi, Chiaki, and Yutaka Okabe. Three-dimensional antiferromagnetic q-state Potts models: application of the Wang-Landau algorithm. Journal of Physics A: Mathematical and General 34. 42 (2001) 8781.

DOI: 10.1088/0305-4470/34/42/305

Google Scholar

[6] Okabe, Yutaka, and Hiromi Otsuka. Monte Carlo study of the antiferromagnetic three-state Potts model with a staggered polarization field on the square lattice. Journal of Physics A: Mathematical and General 39. 29 (2006) 9093.

DOI: 10.1088/0305-4470/39/29/006

Google Scholar

[7] Li, Y., T. X. Wang, and G. D. Liu. Thermodynamic and magnetic properties in two artificial frustrated lattices. Physics Letters A 377. 25 (2013) 1655-1660.

DOI: 10.1016/j.physleta.2013.04.051

Google Scholar

[8] Silva, R. C., Nascimento, F. S., Mol, L. A. S., Moura-Melo, W. A., & Pereira, A. R. Thermodynamics of elementary excitations in artificial magnetic square ice. New Journal of Physics 14. 1 (2012) 015008.

DOI: 10.1088/1367-2630/14/1/015008

Google Scholar