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arXiv · 1802.04273

Classification and properties of quantum spin liquids on the hyperhoneycomb lattice

Biao Huang·Wonjune Choi·Yong Baek Kim·Yuan-Ming Lu
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Abstract

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 $β$-Li$_2$IrO$_3$, 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 $Z_2$ 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 $β$-Li$_2$IrO$_3$. 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.

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Biao Huang, Wonjune Choi, Yong Baek Kim, Yuan-Ming Lu. 2018-02-12. Classification and properties of quantum spin liquids on the hyperhoneycomb lattice. https://doi.org/10.1103/physrevb.97.195141

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