Correlation function of one-dimensional s = 1 Ising model


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Abstract

The temperature behavior of the Fourier transform of the spin-correlation function has been studied in terms of the one-dimensional Ising model taking into account the interaction between the nearest neighbors in the cases of different signs of exchange interactions, magnetic field, and spin. It has been shown that, in the antiferromagnetic model, in the frustration field, the correlation function has a broad maximum and does not take on the form of a delta function as the temperature approaches zero, which indicates the absence of ordering in the system.

About the authors

A. I. Proshkin

Mikheev Institute of Metal Physics, Ural Branch

Author for correspondence.
Email: proshkin_ai@imp.uran.ru
Russian Federation, ul. S. Kovalevskoi 18, Ekaterinburg, 620990

T. Yu. Ponomareva

Ural Federal University

Email: proshkin_ai@imp.uran.ru
Russian Federation, ul. Mira 19, Yekaterinburg, 620002

I. A. Menshikh

Ural Federal University

Email: proshkin_ai@imp.uran.ru
Russian Federation, ul. Mira 19, Yekaterinburg, 620002

A. V. Zarubin

Mikheev Institute of Metal Physics, Ural Branch

Email: proshkin_ai@imp.uran.ru
Russian Federation, ul. S. Kovalevskoi 18, Ekaterinburg, 620990

F. A. Kassan-Ogly

Mikheev Institute of Metal Physics, Ural Branch

Email: proshkin_ai@imp.uran.ru
Russian Federation, ul. S. Kovalevskoi 18, Ekaterinburg, 620990

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