CFT description of the Fully Frustrated XY model and phase diagram analysis

Abstract

Following a suggestion given in Nucl. Phys. B 300 (1988)611,we show how the U(1)*Z_{2} symmetry of the fully frustrated XY (FFXY) model on a square lattice can be accounted for in the framework of the m-reduction procedure developed for a Quantum Hall system at "paired states" fillings nu =1 (cfr. Cristofano et al.,Mod. Phys. Lett. A 15 (2000)1679;Nucl. Phys. B 641 (2002)547). The resulting twisted conformal field theory (CFT) with central charge c=2 is shown to well describe the physical properties of the FFXY model. In particular the whole phase diagram is recovered by analyzing the flow from the Z_{2} degenerate vacuum of the c=2 CFT to the infrared fixed point unique vacuum of the c=3/2 CFT. The last theory is known to successfully describe the critical behavior of the system at the overlap temperature for the Ising and vortex-unbinding transitions.

18 pages, 1 figure, to appear in JSTAT

References in corpus (3)

• Multicritical behavior in the fully frustrated XY model and related systems
• Transitions and crossover phenomena in fully frustrated XY systems
• Topological order in Josephson junction ladders with Mobius boundary conditions

Cited by in corpus (10)

• Phase diagram of the classical Heisenberg antiferromagnet on a triangular lattice in applied magnetic field
• Chiral Spin Liquid in two-dimensional XY Helimagnets
• Phase diagram of generalized fully frustrated XY model in two dimensions
• Fully frustrated Josephson junction ladders with Mobius boundary conditions as topologically protected qubits
• Symmetry-allowed phase transitions realized by the two-dimensional fully frustrated XY class
• Topologically protected qubits as minimal Josephson junction arrays with non trivial boundary conditions: a proposal
• Twisted Conformal Field Theories and Morita equivalence
• Paired quantum Hall states on noncommutative two-tori
• A general CFT model for antiferromagnetic spin-1/2 ladders with Mobius boundary conditions
• Emergent Intermediate Phase in the $J_1$-$J_2$ XY model from Tensor Network Approaches