Projective symmetry group classification of chiral spin liquids

2015/12/31 by Samuel Bieri, Claire Lhuillier, Laura Messio · 2 citations
Physics and Astronomy · #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.93.094437

published as Phys. Rev. B 93, 094437 (2016) · 21+7 pages, 9 figs, 9 tabs; published version

arxiv created 2016/03/30 · arxiv updated 2016/03/31

Abstract

We present a general review of the projective symmetry group classification of fermionic quantum spin liquids for lattice models of spin S=1/2. We then introduce a systematic generalization of the approach for symmetric ℤ₂ quantum spin liquids to the one of chiral phases (i.e., singlet states that break time reversal and lattice reflection, but conserve their product). We apply this framework to classify and discuss possible chiral spin liquids on triangular and kagome lattices. We give a detailed prescription on how to construct quadratic spinon Hamiltonians and microscopic wave functions for each representation class on these lattices. Among the chiral ℤ₂ states, we study the subset of U(1) phases variationally in the antiferromagnetic J₁-J₂-J_d Heisenberg model on the kagome lattice. We discuss static spin structure factors and symmetry constraints on the bulk spectra of these phases.

Cited by

• Superconducting and charge-ordered phases from Dirac quantum spin liquids on the triangular lattice
• Dynamical spin correlations in kagome antiferromagnets: comparison of Abrikosov fermion and Schwinger boson approaches beyond mean field