Download A. Ralko

When holes lose their statistics
C.A. Lamas,1 A. Ralko,2 D. Cabra,3 M. Oshikawa,4 D. Poilblanc1 , and P. Pujol1
1
Laboratoire de Physique Théorique, CNRS and Université de Toulouse, Toulouse, France
2
Néel Institute, Université Grenoble Alpes and CNRS, Grenoble, France
3
IFLP, Universidad Nacional de La Plata, La Plata, Argentina
4
Institute for Solid State Physics, University of Tokyo, Kashiwa , Japan
The discovery of exotic quantum spin liquids, states without any magnetic ordering at very low temperature, is
one of the challenges of modern condensed matter physics. Anderson proposed that the parent (insulating) state of
the high-temperature superconductors is in fact a liquid made of spin singlet pairs which, once broken, exhibits a
separation of the spin and the charge degrees of freedom (and superconductivity) into two emergent particles, a holon
carrying the charge quantum and a spinon carrying the spin quantum. Although the original electron is a fermion,
the question of the actual statistics of holons and spinons in such a ”deconfinement” scenario remains an open issue.
In that context, 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 such exotic spin liquid phases with deconfined
spinons. Doping, i.e. the introduction of mobile holes, has been considered within the QDM framework, but only
partially studied.
In this presentation, we establish the existence of a dynamical statistical transmutation in doped quantum dimer
models [1]. The dimer quantum dynamics experienced by the holons can transmute their original statistics, e.g. from
fermions to bosons. This exact transformation enables to define duality equivalence classes (or families) of doped
QDM, and provides the analytic framework to analyze dynamical statistical transmutations.
It will be shown how the parent insulating states and the lattice geometry can influence the nature of the hole
doped phases: phase separation, superfluidity, supersolidity, and fermionic phases. In particular, some evidences for
an exotic superconducting phase originating from the condensation of (bosonic) charge-e holons will be presented [2].
[1] C. A. Lamas, A. Ralko, D. C. Cabra, D. Poilblanc, and P. Pujol, Phys. Rev. Lett. 109, 016403 (2012).
[2] C. A. Lamas, A. Ralko, M. Oshikawa, D. Poilblanc, and P. Pujol, Phys. Rev. B 87, 104512 (2013).
E-mail for corresponding author: [email protected]