Classical dipoles on the kagome lattice

Abstract

Motivated by recent developments in magnetic materials, frustrated nanoarrays and cold atomic systems, we investigate the behaviour of dipolar spins on the frustrated two-dimensional kagome lattice. By combining the Luttinger-Tisza approach, numerical energy minimization, spin-wave analysis and parallel tempering Monte-Carlo, we study long-range ordering and finite-temperature phase transitions for a Hamiltonian containing both dipolar and nearest-neighbor interactions. For both weak and moderate dipolar interactions, the system enters a three-sublattice long-range ordered state, with each triangle having vanishing dipole and quadrupole moments; while for dominating dipolar interactions we uncover ferrimagnetic three-sublattice order. These are also the ground states for XY spins. We discuss excitations of, as well as phase transitions into, these states. We find behaviour consistent with Ising criticality for the 120-degree state, while the ferrimagnetic state appears to be associated with drifting exponents. The celebrated flat band of zero-energy excitations of the kagome nearest-neighbour Heisenberg model is lifted to finite energies but acquires only minimal dispersion as dipolar interactions are added.

arXiv comment9 pages, 8 figures

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Cited by in corpus (20)

• Cooperative Ordering in Lattices of Interacting Two-Level Dipoles
• Removing the spin ice cap: magnetic ground states of rare earth tripod kagome lattice Mg${}_2$RE${}_3$Sb${}_3$O${}_{14}$ (RE = Gd, Dy, Er)
• Magnetic Dipole Interactions in Crystals
• Structural and magnetic properties of two branches of the Tripod Kagome Lattice family A${}_2$RE${}_3$Sb${}_3$O${}_{14}$ (A = Mg, Zn; RE = Pr, Nd, Gd, Tb, Dy, Ho, Er, Yb)
• Ground-State Candidate for the Dipolar Kagome Ising Antiferromagnet
• Supercooling and fragile glassiness in a dipolar kagome Ising magnet
• Persistence of the flat band in a kagome magnet with dipolar interactions
• Ordered ground states of kagome magnets with generic exchange anisotropy
• Magnetic State Selected by Magnetic Dipole Interaction in Kagome Antiferromagnet NaBa${}_2$Mn${}_3$F${}_{11}$
• Continuous ground-state degeneracy of classical dipoles on regular lattices
• A new inelastic neutron spectrometer HODACA
• Spin liquid mediated RKKY interaction
• Continuous degeneracy of the fcc kagome lattice with magnetic dipolar interactions
• Dipolar spin-waves and tunable band gap at the Dirac points in the 2D magnet ErBr3
• Zero-energy excitation in the classical kagome antiferromagnet NaBa${}_2$Mn${}_3$F${}_{11}$
• Inelastic Neutron Scattering in Weakly Coupled Triangular Spin Tubes CsCrF${}_4$
• Molecular dipoles in designer honeycomb lattices
• Effects of exchange distortions in the magnetic Kagome lattice
• Symmetry breaking of dipole orientations on Caspar-Klug lattices
• Magnetic order in the chemically-substituted frustrated antiferromagnet CsCrF${}_4$