Projective symmetry group classification of chiral Z(2) spin liquids on the pyrochlore lattice: Application to the spin-1/2 XXZ Heisenberg model

Year: 2022

Authors: Schneider B., Halimeh J.C., Punk M.

Autors Affiliation: Physics Department, Arnold Sommerfeld Center for Theoretical Physics, and Center for NanoScience, Ludwig Maximilian University Munich, 80333, Germany; INO-CNR BEC Center and Department of Physics, University of Trento, Via Sommarive 14, I-38123 Trento, Italy

Abstract: We give a complete classification of fully symmetric as well as chiral Z(2) quantum spin liquids on the pyrochlore lattice using a projective symmetry group analysis of Schwinger boson mean-field states. We find 50 independent Ansatze, including the 12 fully symmetric nearest-neighbor Z(2) spin liquids that have been classified by Liu et al. [Phys. Rev, 11 100, 075125 (2019)]. For each class, we specify the most general symmetry-allowed mean-field Hamiltonian. Additionally, we test the properties of a subset of the spin-liquid Ansatze by solving the mean-field equations for the spin-1/2 XXZ model near the antiferromagnetic Heisenberg point. We find four chiral spin liquids that break the screw symmetry of the lattice modulo time-reversal symmetry. These states have a different symmetry from the previously studied monopole flux state, and their unique characteristic is a pi/3 flux enclosed by every rhombus of the lattice.


Volume: 105 (12)      Pages from: 125122-1  to: 125122-20

More Information: We thank Y. Iqbal for helpful discussions. J.C.H. acknowledges support by the Provincia Autonoma di Trento, the ERC Starting Grant StrEnQTh (project ID 804305), the Google Research Scholar Award ProGauge, and Q@TN-Quantum Science and Technology in Trento.
DOI: 10.1103/PhysRevB.105.125122