Rigorous results on a first-order phase transition in antiferromagnetic spin-1/2 coupled chains

Abstract

Some rigorous results are presented for a first-order quantum phase transition between the dimerized state and Haldane-type state (i.e., a state similar to the ground state of the one-dimensional spin-1 Heisenberg chain) in the spin-1/2 coupled chains with nearest-neighbour and next-nearest-neighbour Heisenberg interactions. Also presented are the exact excited states in both phases. A partial phase diagram of the general spin-1/2 coupled chains is discussed.

4 pages, RevTeX 3.0, one ps figure available upon request

References in corpus (4)

• Superconductivity in a Quasi One Dimensional Spin Liquid
• Large-Scale Numerical Evidence for Bose Condensation in the S=1 Antiferromagnetic Chain in a Strong Field
• A microscopic approach to the dimerization in the frustrated spin-1/2 antiferromagnetic chains
• Exact Results of Dimerization Order Parameter in $SU(n)$ Antiferromagnetic Chains

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