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Quantum phase transitions in a spin ladder with long-range couplings

Authors Cao, JP
Xiong, G.
Xie, XC
Wang, XR View this author's profile
Wang, YP
Issue Date 2005
Source NUCLEAR PHYSICS B , v. 731, (3), 2005, DEC 26, p. 352-359
Summary An integrable model with rich ground state phases is difficult to realize. In this paper, an integrable spin ladder with pure long-range Heisenberg couplings is proposed and solved via the asymptotic Bethe ansatz method. Numerical solutions of the Bethe ansatz equation show that with the variation of the coupling range parameter alpha, quantum phase transitions exist for both ferromagnetic (J = -1) and antiferromagnetic (J = 1) intrachain couplings. For J = -1, depending on alpha, the ground state may be ferromagnetic, Takhtajan-Babujian spin liquid, or a frustrated spin liquid. For J = 1, a quantum phase transition from the Heisenberg spin liquid to an exotic spin liquid occurs at a critical alpha. The phase boundaries are determined numerically. (c) 2005 Elsevier B.V. All rights reserved.
ISSN 0550-3213
Rights Nuclear Physics B © 2005 Elsevier. The Journal's web site is located at
Language English
Format Article
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