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Abstract
We discuss the d = 2 quantum O(2) × O(2) nonlinear sigma model as a lowenergy 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 groundstate phase diagram of the O(2) × O(2) nonlinear sigma model, and on the behaviour of the O(2) × O(M) nonlinear sigma model with M > 2 in the classical limit. Finally, we present a conjectured finitetemperature phase diagram for the quantum version of the latter model in the O(2) × O(2) case. The nature of the finitetemperature BKTlike transitions in the phase diagram is discussed, and avenues for further calculation are identified.
Original language  English 

Article number  016018 
Journal  Proceedings of the International Conference on Strongly Correlated Electron Systems (SCES2013) 
Volume  3 
DOIs  
Publication status  Published  2014 
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Dive into the research topics of 'Berezinskii–Kosterlitz–ThoulessType Transitions in d = 2 Quantum O(2) and O(2) × O(2) Nonlinear Sigma Models'. Together they form a unique fingerprint.Projects
 1 Finished

Topological Protection and NonEquilibriu: Topological Protection and NonEquilibrium States in Strongly Correlated Electron Systems
Wahl, P., Baumberger, F., Davis, J. C., Green, A., Hooley, C., Keeling, J. M. J. & Mackenzie, A.
1/09/11 → 31/08/17
Project: Standard