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Phys. Rev. B 43, 5939–5943 (1991)

Large-S analysis of a quantum axial next-nearest-neighbor Ising model in one dimension

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Diptiman Sen
Centre for Theoretical Studies, Indian Institute of Science, Bangalore 560012, India

Received 26 June 1990; published in the issue dated 1 March 1991

We study the large-S limit of a one-dimensional quantum spin model in a transverse magnetic field. For S=1/2, this is dual to the quantum Hamiltonian limit of the two-dimensional axial next-nearest-neighbor Ising model. The phase diagram has three regions; paramagnetic, ferromagnetic, and a modulated phase of period 2. The Peschel-Emery curve is discovered to be a disorder line. The long-distance correlation functions behave differently on the two sides of the line, and the correlation length goes to zero upon approaching it from either side.

© 1991 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.43.5939
DOI:
10.1103/PhysRevB.43.5939
PACS:
75.10.Hk, 75.10.Dg