Berezinskii-Kosterlitz-Thouless-type transitions in d=2 quantum O(2) and O(2)xO(2) nonlinear sigma models

Abstract

We discuss the d=2 quantum O(2)xO(2) nonlinear sigma model as a low-energy theory of phase reconstruction near a quantum critical point. We first examine the evolution of the Berezinskii-Kosterlitz-Thouless (BKT) transition as the quantum limit is approached in the usual O(2) nonlinear sigma model. Then we go on to review results on the ground-state phase diagram of the O(2)xO(2) nonlinear sigma model, and on the behaviour of the O(2)xO(M) nonlinear sigma model with M>2 in the classical limit. Finally, we present a conjectured finite-temperature phase diagram for the quantum version of the latter model in the O(2)xO(2) case. The nature of the finite-temperature BKT-like transitions in the phase diagram is discussed, and avenues for further calculation are identified.

6 pages, 3 figures; submitted for publication in the proceedings of SCES 2013

References in corpus (5)

• Formation of a Nematic Fluid at High Fields in Sr3Ru2O7
• Charge-Density-Wave and Superconductor Competition in Stripe Phases of High Temperature Superconductors
• Phase diagram of the quantum O(2)-model in 2+1 dimensions
• Study of the electronic nematic phase of Sr${}_3$Ru${}_2$O${}_7$ with precise control of the applied magnetic field vector
• Unbinding of giant vortices in states of competing order

Cited by in corpus (1)

• Quantum and thermal melting of stripe forming systems with competing long ranged interactions