Diffuse Scattering on Ising Chain with Competing Interactions

Article Preview

Abstract:

We considered the Ising 1D chain in an external magnetic field taking into account the nearest and next-nearest interactions. By the method of Kramers–Wannier transfer-matrix, the rigorous analytical expression for Fourier-transform of pair spin-spin correlation function was obtained, and the temperature evolution of the scattering was analyzed for various relations of exchange parameters.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

122-125

Citation:

Online since:

March 2016

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2016 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] Th. Giamarchi, Quantum physics in one dimension, Clarendon Press, Oxford, (2003).

Google Scholar

[2] S. Roth, D. Carroll, One-dimensional metals, Wiley-VCH, Weinheim, (2004).

Google Scholar

[3] M. Takahashi, Thermodynamics of one-dimensional solvable models, CUP, New York, (2005).

Google Scholar

[4] R.J. Baxter, Exactly solved models in statistical mechanics, Academic Press, London, (1982).

Google Scholar

[5] F.A. Kassan-Ogly, One-dimensional Ising model with next-nearest-neighbour interaction in magnetic field, Phase Transitions. 74 (2001) 353-365.

DOI: 10.1080/01411590108227581

Google Scholar

[6] F.A. Kassan-Ogly, E.V. Kormiltsev, V.E. Naish, and I.V. Sagaradze, The scattering problem in the Ising chain with the next-nearest-neighbor interaction, Sov. Phys. Solid State, 31 (1989) 43-49.

Google Scholar

[7] J. Stephenson, Two one-dimensional Ising models with disorder points, Canadian J. Phys. 48 (1970) 1724-1734.

DOI: 10.1139/p70-217

Google Scholar