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Prog. Theor. Phys. Vol. 56 No. 5 (1976) pp. 1396-1410

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Correlated Disorder in One-Dimensional Ising System at Zero Temperature

Mariko Nagase, Tuto Nakamura and Jun-ichi Igarashi

Department of Material Physics, Faculty of Engineering Science, Osaka University, Toyonaka 560

(Received May 21, 1976)

Abstract:

The disordered ground-states occurring at the phase boundary are discussed for the one-dimensional Ising system with the coupling constants J1, J2, …, Jr. The zero-point entropy and the curie constant in the close vicinity of 0° K are evaluated exactly for a disordered point satisfied by J1 + 2J2 +…+ rJr = 0. The correlation function at the same point is shown to have a longer period than in the contiguous ordered state. The field-induced disorder, which is pointed out to exist possibly under certain conditions, is also exactly discussed.


URL : http://ptp.ipap.jp/link?PTP/56/1396/
DOI : 10.1143/PTP.56.1396

[ Full Text PDF : FREE ACCESS (965K) ] Citation:


References:

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Citing Article(s) :

  1. Journal of the Physical Society of Japan 58 (1989) pp. 2147-2159 :
    Elementary Excitations in the One-Dimensional Spin-1/2 Anisotropic Heisenberg Model with Competing Interactions
    Jun-ichi Igarashi and Takashi Tonegawa
  2. Journal of the Physical Society of Japan 58 (1989) pp. 4600-4609 :
    Ground State and Excitation Spectrum of a Spin-1/2 Ising-Like Ferromagnetic Chain with Competing Interactions
    Jun-ichi Igarashi
  3. Progress of Theoretical Physics Vol. 57 No. 4 (1977) pp. 1209-1222 :
    Collective Excitations in Certain One-Dimensional Ising System with Extended Interactions
    Jun-ichi Igarashi