Symmetry Breaking on the Three-Dimensional Hyperkagome Lattice of Na_4Ir_3O_8

Abstract

We study the antiferromagnetic spin-1/2 Heisenberg model on the highly frustrated, three-dimensional, hyperkagome lattice of Na_4Ir_3O_8 using a series expansion method. We propose a valence bond crystal with a 72 site unit cell as a ground state that supports many, very low lying, singlet excitations. Low energy spinons and triplons are confined to emergent lower-dimensional motifs. Here, and for analogous kagome and pyrochlore states, we suggest finite temperature signatures, including an Ising transition, in the magnetic specific heat due to a multistep breaking of discrete symmetries.

arXiv comment4 pages, 3 figures

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Cited by in corpus (25)

• Models and Materials for Generalized Kitaev Magnetism
• Quantum spin ices and topological phases from dipolar-octupolar doublets on the pyrochlore lattice
• Kitaev-Heisenberg models for iridates on the triangular, hyperkagome, kagome, fcc, and pyrochlore lattices
• Competing Exotic Topological Insulator Phases in Transition Metal Oxides on the Pyrochlore Lattice with Distortion
• Evidence for a three-dimensional quantum spin liquid in PbCuTe${}_2$O${}_6$
• Magnetic properties and heat capacity of the three-dimensional frustrated S=1/2 antiferromagnet PbCuTe2O6
• Spin Liquid State in the 3D Frustrated Antiferromagnet PbCuTe2O6: NMR and muSR Studies
• Quantum Magnetism in Minerals
• Simplex solids in SU(N) Heisenberg models on the kagome and checkerboard lattices
• Competing magnetic orders and spin liquids in two- and three-dimensional kagome systems: A pseudo-fermion functional renormalization group perspective
• Frozen State and Spin Liquid Physics in Na4Ir3O8: an NMR study
• Anomalous enhancement of Wilson ratio in a quantum spin liquid with strong spin-orbital entanglement: the case of Na4Ir3O8
• Updating the phase diagram of the archetypal frustrated magnet Gd3Ga5O12
• High temperature series expansion study of the Heisenberg antiferromagnet on the hyperkagome lattice: Comparison with Na${}_4$Ir${}_3$O${}_8$
• Abundance of hard-hexagon crystals in the quantum pyrochlore antiferromagnet
• Nature of Possible Magnetic Phases in Frustrated Hyperkagome Iridate
• Collinear order in a frustrated three-dimensional spin-$\frac{1}{2}$ antiferromagnet Li${}_2$CuW${}_2$O${}_8$
• 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${}_8$
• Linear independence of nearest-neighbor valence bond states in several two-dimensional lattices
• Hidden spin-orbital order in the Kitaev hyperhoneycomb $\beta$-Li${}_2$IrO${}_3$
• Magnetic structure of a new quantum magnet SrCuTe${}_2$O${}_6$
• Thermodynamics of the $S=1/2$ hyperkagome-lattice Heisenberg antiferromagnet
• Phenomenological approach to hyperkagome spin liquid: gauge fields and spinons without slave particles
• Classical spin models of the windmill lattice and their relevance for PbCuTe${}_2$O${}_6$