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Title: Quantum phase transitions in a spin ladder with long-range couplings
Authors: Cao, Junpeng
Xiong, Gang
Xie, X. C.
Wang, Xiang-Rong
Wang, Yupeng
Keywords: Spin ladder
Bethe ansatz
Quantum phase transitions
Issue Date: Dec-2005
Citation: Nuclear Physics B, v. 731, issue 3, 26, December, 2005, p. 352-359
Abstract: An integrable model with rich ground state phases is hard to come by. In this Letter, 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 α, quantum phase transitions exist for both ferromagnetic (J = -1) and anti-ferromagnetic (J = 1) intra-chain couplings. For J = -1, depending on α, the ground state may be ferromagnetic, Takhatajian-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 α. The phase boundaries are determined numerically.
Rights: Nuclear Physics B © 2005 Elsevier. The Journal's web site is located at
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