Loop statistics in the Coulomb phase

ORAL

Abstract

The Coulomb phase is a classical gauge field theory arising in frustrated systems with ``divergence free'' constraints, such as spin ice [1]. In this talk, we show how this phase can be understood as a loop model, and characterized by their loop length distribution and fractal dimensions [2]. Comparing similar models in 2- and 3-dimensions allows us to extract insights from connections to Stochastic-Loewner Evolution (SLE) processes, percolation and polymer physics. We mention implications of these results for related models and experiments (Heisenberg magnets, itinerant electrons [3]). \\[4pt] [1] Henley, Annual Review of Condensed Matter Physics {\bf 1}, 179 (2010).\\[0pt] [2] Jaubert, Haque, Moessner, Phys. Rev. Lett. {\bf 107}, 177202 (2011)\\[0pt] [3] Jaubert, Pitaecki, Haque \& Moessner, in preparation (2012).

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Authors

  • Ludovic Jaubert

    • OIST, Okinawa, Japan

  • Masud Haque

    • Max Planck Insitute (PKS), Dresden
    • MPI-PkS, Dresden, Germany

  • Roderich Moessner

    • Max Planck Institut f\"ur komplexe Systeme, N\"othnitzer Stra\ss e 38, D-01187 Dresden, Germany
    • Max-Planck-Institut f\"ur Physik komplexer Systeme, N\"othnitzer Str. 38, 01187 Dresden, Germany
    • MPI-PKS Dresden
    • Max-Planck-Institute for the Physics of Complex Systems
    • Max Planck Institute for the Physics of Complex Systems
    • MPI-PkS, Dresden, Germany