Transverse susceptibility of Ising spins

D. M. Silevitch, C. Ancona-Torres, T. F. Rosenbaum +1 more

S. I. Berim, R. V. Saburova

Ibha Chatterjee

Kazuhiko Minami

N. Kunisada, Y. Fukumoto

We study the transverse susceptibility of the fully frustrated antiferromagnetic Ising Δ-chain, extending Minami's transfer-matrix method to the transverse susceptibility of general-type Ising linear-chains [J. Phys. Soc. Jpn. 67 (1998), 2255]. For the transverse fields Γ1 in tip spin sites and Γ2 in bottom spin sites, we calculate zero-field transverse susceptibilities χxtip = lim Γ1 →0Mxtip/Γ1 and χxbottom = lim Γ2 →0Mxbottom/Γ2 while keeping the ratio Γ1/Γ2 fixed, where Mxtip (bottom) denotes the magnetization for tip (bottom) spin sites. Both the transverse susceptibilities follow Curie's law at low temperatures. We also calculate χxbottom(Γ1 > 0), the transverse susceptibility of the bottom spin chain under a finite tip-spin transverse field, to understand the Curie-type behavior in zero-field susceptibility. Using the second-order perturbation theory, we also discuss the Γ1 dependence of χxbottom (Γ1) at zero temperature.

Kazuhiko Minami

The zero-field susceptibility of the transverse Ising chain with arbitrary spin-S is expressed in terms of the eigenvector for the maximum eigenvalue of its transfer matrix. As a result, the exact susceptibility is explicitly obtained for , 1, and can be obtained at least for . The numerical calculations of the susceptibility for arbitrary spin are possible and those for S = 6, 12 and 24 are given. It is also derived that the zero-temperature limit of the susceptibility is independent on spin-S.