SU(N) Self-Dual Sine-Gordon Model and Competing Orders

Abstract

We investigate the low-energy properties of a generalized quantum sine-Gordon model in one dimension with a self-dual symmetry. This model describes a class of quantum phase transitions that stems from the competition of different orders. This SU(N) self-dual sine-Gordon model is shown to be equivalent to an SO(N)_2 conformal field theory perturbed by a current-current interaction, which is related to an integrable fermionic model introduced by Andrei and Destri. In the context of spin-chain problems, we give several realizations of this self-dual sine-Gordon model and discuss the universality class of the transitions.

9 pages, using iopart.cls

References in corpus (2)

• Phase Diagram of a Spin Ladder with Cyclic Four Spin Exchange
• Phases of the generalized two-leg spin ladder: A view from the SU(4) symmetry

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• SO(n) Affleck-Kennedy-Lieb-Tasaki states as conformal boundary states of integrable SU(n) spin chains
• Critical phenomena around the SU(3) symmetric tri-critical point of a spin-1 chain