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Fizika Tverdogo Tela, 2010 Volume 52, Issue 1, Pages 83–86 (Mi ftt13580)

Magnetism and ferroelectricity

Dual symmetries and universality of the critical behavior of a disordered Ising ferromagnet

B. N. Shalaev

Ioffe Institute, St. Petersburg

Abstract: The critical behavior of a $d$-dimensional random Ising ferromagnet described in the critical region by the Ginzburg–Landau model with a random temperature has been considered. The critical temperature dependences of thermodynamic quantities, the equation of state, and the spin correlation function at the Curie point have been calculated by the renormalization group method. The most profound questions of the theory of impurity ferromagnets are the problem of universality and the role of the Griffiths singularities.

Received: 24.03.2009


 English version:
Physics of the Solid State, 2010, 52:1, 87–90

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© Steklov Math. Inst. of RAS, 2026