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Article Dans Une Revue Phys.Rev.Res. Année : 2020

Time-reversal symmetry breaking Abelian chiral spin liquid in Mott phases of three-component fermions on the triangular lattice

C. Boos
  • Fonction : Auteur
C.J. Ganahl
  • Fonction : Auteur
M. Lajkó
  • Fonction : Auteur
A.M. Läuchli
  • Fonction : Auteur
K. Penc
  • Fonction : Auteur
K.P. Schmidt
  • Fonction : Auteur
F. Mila
  • Fonction : Auteur

Résumé

We provide numerical evidence in favor of spontaneous chiral symmetry breaking and the concomitant appearance of an Abelian chiral spin liquid for three-component fermions on the triangular lattice described by an SU(3) symmetric Hubbard model with hopping amplitude −t(t>0) and on-site interaction U. This chiral phase is stabilized in the Mott phase with one particle per site in the presence of a uniform π flux per plaquette, and in the Mott phase with two particles per site without any flux. Our approach relies on effective spin models derived in the strong-coupling limit in powers of t/U for general SU(N) and arbitrary uniform charge flux per plaquette, which are subsequently studied using exact diagonalizations and variational Monte Carlo simulations for N=3, as well as exact diagonalizations of the SU(3) Hubbard model on small clusters. Up to third order in t/U, and for the time-reversal symmetric cases (flux 0 or π), the low-energy description is given by the J-K model with Heisenberg coupling J and real ring exchange K. The phase diagram in the full J-K parameter range contains, apart from three already known, magnetically long-range ordered phases, two previously unreported phases: (i) a lattice nematic phase breaking the lattice rotation symmetry and (ii) a spontaneous time-reversal and parity symmetry breaking Abelian chiral spin liquid. For the Hubbard model, an investigation that includes higher-order itinerancy effects supports the presence of a phase transition inside the insulating region, occurring at (t/U)c≈0.07[(U/t)c≈13] between the three-sublattice magnetically ordered phase at small t/U and this Abelian chiral spin liquid.

Dates et versions

hal-02634668 , version 1 (27-05-2020)

Identifiants

Citer

C. Boos, C.J. Ganahl, M. Lajkó, P. Nataf, A.M. Läuchli, et al.. Time-reversal symmetry breaking Abelian chiral spin liquid in Mott phases of three-component fermions on the triangular lattice. Phys.Rev.Res., 2020, 2 (2), pp.023098. ⟨10.1103/PhysRevResearch.2.023098⟩. ⟨hal-02634668⟩

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