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.

4 pages, 3 figures

References in corpus (14)

• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Spin-Liquid State in the S = 1/2 Hyperkagome Antiferromagnet Na4Ir3O8
• Ground State of the Kagome Lattice Heisenberg Antiferromagnet
• 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${}_8$
• Classical dimers with aligning interactions on the square lattice
• Topological spin liquid on the hyper-kagome lattice of Na_4Ir_3O_8
• Triplet and Singlet Excitations in the Valence Bond Crystal Phase of Kagome Lattice Heisenberg Model
• Na4Ir3O8 as a 3D spin liquid with fermionic spinons
• Correlations and confinement in non-planar two-dimensional dimer models
• Fermionic spin excitations in two and three-dimensional antiferromagnets
• Structure factor of low-energy spin excitations in a S=1/2 kagome antiferromagnet

Cited by in corpus (13)

• Models and Materials for Generalized Kitaev Magnetism
• Magnetic properties and heat capacity of the three-dimensional frustrated S=1/2 antiferromagnet PbCuTe2O6
• 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
• 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
• Abundance of hard-hexagon crystals in the quantum pyrochlore antiferromagnet
• Thermal conductivity across the metal-insulator transition in single crystalline hyperkagome Na${}_{3+x}$Ir${}_3$O${}_8$
• 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${}_6$