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MA: Fachverband Magnetismus
MA 5: Spin Textures and magnetic Phase Transitions
MA 5.11: Vortrag
Montag, 7. März 2016, 12:45–13:00, H34
Critical phenomena in uniformly frustrated systems — •Bhilahari Jeevanesan1, Karim Mnasri2, and Jörg Schmalian1,3 — 1Institute for Theory of Condensed Matter, Karlsruhe Institute of Technology, 76131 Karlsruhe, Germany — 2Institute of Theoretical Solid State Physics, Karlsruhe Institute of Technology, 76131 Karlsruhe, Germany — 3Institute for Solid State Physics, Karlsruhe Institute of Technology, 76131 Karlsruhe, Germany
The field theory and statistical mechanics of uniformly frustrated systems is frequently studied by placing systems in curved background geometries. We study the critical behavior of an N-component φ4-theory in hyperbolic space, which has the role of uniformly frustrating the magnetic order described by φ. We treat this model in a 1/N expansion and find that it exhibits a second-order phase transition with an unusual magnetization texture that results from the lack of global parallelism in hyperbolic space. Angular defects occur on length scales comparable to the radius of curvature. This phase transition is governed by a new strong curvature fixed point that obeys scaling below the upper critical dimension duc = 4. The exponents of this fixed point are given by the leading order terms of the 1/N expansion.