Emergent U(1) Symmetry in Square Lattice Quantum Dimer Models

ORAL

Abstract

We report an exact diagonalization study of Rokhsar-Kivelson quantum dimer models on square lattice. Using a finite-size scaling analysis of excited energy levels, we are able to identify a regime of length scales where the the quantum dimer model exhibits a $U(1)$ symmetry. Dimer order parameter histograms confirm this remarkable symmetry. Beyond this crossover length, columnar dimer order emerges at least for $v/t \la 0.6$. Our interpretation is supplemented with field-theory analysis as well as large-scale quantum Monte-Carlo simulations.

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Authors

  • Sylvain Capponi

    • Universit\'e de Toulouse, F-31062 France
    • Laboratoire de Physique Th\'eorique, CNRS \& Universit\'e de Toulouse, F-31062 Toulouse, France

  • David Schwandt

    • Laboratoire de Physique Th{\'e}orique, Universit{\'e} de Toulouse, UPS (IRSAMC), CNRS, F-31062 Toulouse, France
    • Laboratoire de Physique Th\'eorique, CNRS \& Universit\'e de Toulouse, F-31062 Toulouse, France

  • Sergei Isakov

    • Insitut f\"ur Theoretische Physik, ETH Z\"urich, CH-8093 Z\"urich, Switzerland

  • 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

  • Andreas Lauchli

    • Institut f\"ur Theoretische Physik, Universit\"at Innsbruck, A-6020 Innsbruck, Austria
    • Theoretische Physik, University of Innsbruck, Austria