Statistical transmutation in QDM

C. A. LAMAS, A. RALKO, D. C. CABRA, D. POILBLANC, P. PUJOL

Buenos Aires

Workshop; EIMC 2013; 2013

Quantum Dimer Models (QDM) arise as low energy effective models for frustrated magnets.Some of these models have proven successful in generating a scenario for exotic spin liquid phaseswith deconfined spinons. Doping, i.e. the introduction of mobile holes, has been considered withinthe QDM framework and partially studied. A fundamental issue is the possible existence of asuperconducting phase in such systems and its properties. For this purpose, the question of thestatistics of the mobile holes (or ?holons?) shall be addressed first. Such issues are studied in detailsin this paper for generic doped QDM defined on the most common two-dimensional lattices (square,triangular, honeycomb, kagome,...) and involving general resonant loops. We prove a general?statistical transmutation? symmetry of such doped QDM by using composite operators of dimersand holes. This exact transformation enables to define duality equivalence classes (or families) ofdoped QDM, and provides the analytic framework to analyze dynamical statistical transmutations.We discuss various possible superconducting phases of the system. In particular, the possibility ofan exotic superconducting phase originating from the condensation of (bosonic) charge-e holons isexamined. A numerical evidence of such a superconducting phase is presented in the case of thetriangular lattice, by introducing a novel gauge-invariant holon Green?s function. We also make theconnection with a Bose-Hubbard model on the kagome lattice which gives rise, as an effective modelin the limit of strong interactions, to a doped QDM on the triangular lattice.