University of Birmingham > Talks@bham > Theoretical Physics Seminars > “Phase competition and soft-core vortices in the O(2)xO(2) nonlinear sigma model”

## “Phase competition and soft-core vortices in the O(2)xO(2) nonlinear sigma model”Add to your list(s) Download to your calendar using vCal - Dr Chris Hooley SUPA, University of St Andrews
- Thursday 20 February 2014, 13:45-15:00
- Theory Library.
If you have a question about this talk, please contact Kevin Ralley. Phase competition at low temperatures and phase reconstruction near quantum critical points are two current themes in condensed matter physics. In this talk, I shall analyse a model that has recently been discovered to contain interesting versions of both: the d=2 O(2)xO(2) nonlinear sigma model. I shall begin by discussing its ground-state phase diagram, which has recently been shown [1] to exhibit an interesting phase coexistence region with an O(4) high-symmetry point in the middle of it. I shall then proceed to discuss the finite-temperature phase diagram, and explain the results that my collaborators and I have established so far. The main one of these is the physical mechanism for the suppression of the Berezinskii-Kosterlitz-Thouless transition as the O(4) point is approached, viz. the ‘eating away’ of the cores of vortices by the competing phase [2]. Finally, I shall indicate some open questions that are raised by this work [3]. No prior knowledge of Berezinskii-Kosterlitz-Thouless or of nonlinear sigma models is assumed; indeed, a decent fraction of the talk is introductory material. All are welcome! [1] A. Jaefari, S. Lal, and E. Fradkin, Phys. Rev. B 82 , 144531 (2010). [2] J.M. Fellows, S.T. Carr, CAH , and J. Schmalian, Phys. Rev. Lett. 109, 155703 (2012). [3] CAH , S.T. Carr, J.M. Fellows, and J. Schmalian, arXiv:1311.5344 (to appear in JPSJ ). This talk is part of the Theoretical Physics Seminars series. ## This talk is included in these lists:Note that ex-directory lists are not shown. |
## Other listsType the title of a new list here School of Mathematics Events Combinatorics and Probability Seminar## Other talksExtreme Environments and Dynamic Morphology: Anticipating and harnessing evolving structure-property relationships Bound states in the continuum in nanophotonics: review Probabilistic Principal Component Analysis for Time Series The 2018 Haworth Lecture: The Art of Designing Electron Transfer and Catalytic Metalloproteins Relaxed AI Planning with Time and the TechLauncher Program: A Talk in Two Parts |