The family of "Kitaev materials" provides an ideal platform to study quantum spin liquids and their neighboring magnetic orders. Motivated by the possibility of a quantum spin liquid ground state in pressurized hyperhoneycomb iridate β-Li2IrO3, we systematically classify and study symmetric quantum spin liquids on the hyperhoneycomb lattice, using the Abrikosov-fermion representation. Among the 176 symmetric U(1) spin liquids (and 160 Z2 spin liquids), we identify 8 "root" U(1) spin liquids in proximity to the ground state of the solvable Kitave model on hyperhonecyomb lattices. These 8 states are promising candidates for possible U(1) spin liquid ground states in pressurized β-Li2IrO3. We further discuss physical properties of these 8 U(1) spin liquid candidates, and show that they all support nodal-line-shaped spinon Fermi surfaces.
@article{arxiv.1802.04273,
title = {Classification and properties of quantum spin liquids on the hyperhoneycomb lattice},
author = {Biao Huang and Wonjune Choi and Yong Baek Kim and Yuan-Ming Lu},
journal= {arXiv preprint arXiv:1802.04273},
year = {2018}
}