Melting of three-sublattice order in easy-axis antiferromagnets on triangular and Kagome lattices

Abstract

When the constituent spins have an energetic preference to lie along an easy-axis, triangular and Kagome lattice antiferromagnets often develop long-range order that distinguishes the three sublattices of the underlying triangular Bravais lattice. In zero magnetic field, this three-sublattice order melts {\em either} in a two-step manner, {\em i.e.} via an intermediate phase with power-law three-sublattice order controlled by a temperature dependent exponent $\eta (T)\in (\frac{1}{9},\frac{1}{4})$, {\em or} via a transition in the three-state Potts universality class. Here, I predict that the uniform susceptibility to a small easy-axis field $B$ diverges as $\chi (B)\sim |B{|}^{-\frac{4-18\eta }{4-9\eta }}$ in a large part of the intermediate power-law ordered phase (corresponding to $\eta (T)\in (\frac{1}{9},\frac{2}{9})$), providing an easy-to-measure thermodynamic signature of two-step melting. I also show that these two melting scenarios can be generically connected via an intervening multicritical point, and obtain numerical estimates of multicritical exponents.

Revised version (under review at Phys. Rev. Lett.)

References in corpus (6)

• Supersolid hardcore bosons on the triangular lattice
• Direct observation of the ice rule in artificial kagome spin ice
• Interplay of quantum and thermal fluctuations in a frustrated magnet
• Spin nematics and magnetization plateau transition in anisotropic Kagome magnets
• Variational wavefunction study of the triangular lattice supersolid
• Magnetization plateaus and sublattice ordering in easy axis Kagome lattice antiferromagnets

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