Phenomenological approach to hyperkagome spin liquid: gauge fields and spinons without slave particles

Abstract

A number of experiments on the hyperkagome iridate, Na${}_4$Ir${}_3$O${}_8$, suggest existence of a gapless quantum spin liquid state at low temperature. Circumventing the slave particle approach commonly used in theoretical analyses of frustrated magnets, we provide a more intuitive, albeit more phenomenological, construction of a quantum spin liquid state for the hyperkagome Heisenberg model. An effective monomer-dimer model on the hyperkagome lattice is proposed a la Hao and Tchernyshyov's approach cultivated from the Husimi cactus model. Employing an arrow representation for the monomer-dimer model, we obtain a compact $U(1)$ gauge theory with a finite density of Fermionic spinons on the hyperoctagon lattice. The resulting theory and its mean field treatments lead to remarkable agreement with previous slave-particle construction of a quantum spin liquid state on the hyperkagome lattice. Our results offer novel insights on theoretical understanding of the emergence of spinon Fermi surfaces and useful predictions for future experiments.

arXiv comment9 pages, 7 figures

References in corpus (28)

• Correlated quantum phenomena in the strong spin-orbit regime
• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Theory of Thermal Hall Effect in Quantum Magnets
• Spin-Liquid State in the S = 1/2 Hyperkagome Antiferromagnet Na4Ir3O8
• Coulombic Quantum Liquids in Spin-1/2 Pyrochlores
• Seeing the light : experimental signatures of emergent electromagnetism in a quantum spin ice
• Kitaev-Heisenberg models for iridates on the triangular, hyperkagome, kagome, fcc, and pyrochlore lattices
• Unusual liquid state of hard-core bosons on the pyrochlore lattice
• Spin-orbit effects in Na${}_4$Ir${}_3$O${}_8$, a hyper-kagomé lattice antiferromagnet
• Gapless spin liquids on the three dimensional hyper-kagome lattice of Na${}_4$Ir${}_3$O${}_8$
• Quantum spin liquid with a Majorana Fermi surface on the three-dimensional hyperoctagon lattice
• Topological spin liquid on the hyper-kagome lattice of Na_4Ir_3O_8
• Na4Ir3O8 as a 3D spin liquid with fermionic spinons
• Mott transition between a spin-liquid insulator and a metal in three dimensions
• Classical antiferromagnet on a hyperkagome lattice
• Short-range correlations in the magnetic ground state of Na4Ir3O8
• Spin liquid close to a quantum critical point in Na${}_4$Ir${}_3$O${}_8$
• Frozen State and Spin Liquid Physics in Na4Ir3O8: an NMR study
• Symmetry Breaking on the Three-Dimensional Hyperkagome Lattice of Na_4Ir_3O_8
• Anomalous enhancement of Wilson ratio in a quantum spin liquid with strong spin-orbital entanglement: the case of Na4Ir3O8
• A Proposal to Use Neutron Scattering to Measure Scalar Spin Chirality Fluctuations in Kagome Lattices
• Fermionic spin excitations in two and three-dimensional antiferromagnets
• High temperature series expansion study of the Heisenberg antiferromagnet on the hyperkagome lattice: Comparison with Na${}_4$Ir${}_3$O${}_8$
• Phenomenological Z_2 lattice gauge theory of the spin-liquid state of the kagome Heisenberg antiferromagnet
• Spin-1/2 Heisenberg antiferromanget on kagome: a $Z_2$ spin liquid with fermionic spinons
• Nature of Possible Magnetic Phases in Frustrated Hyperkagome Iridate
• Generic model for hyperkagome iridate in the local moment regime
• Thermal conductivity across the metal-insulator transition in single crystalline hyperkagome Na${}_{3+x}$Ir${}_3$O${}_8$

Cited by in corpus (4)

• Quantum Magnetism in Minerals
• Competing magnetic orders and spin liquids in two- and three-dimensional kagome systems: A pseudo-fermion functional renormalization group perspective
• Thermodynamics of the $S=1/2$ hyperkagome-lattice Heisenberg antiferromagnet
• Reduction of the sign problem near $T=0$ in quantum Monte Carlo simulations