Real-space perturbation theory for frustrated magnets: application to magnetization plateaus

Abstract

We present a unified approach to the problem of degeneracy lifting in geometrically frustrated magnets with and without an external field. The method treats fluctuations around a classical spin configuration in terms of a real-space perturbation expansion. We calculate two lowest-order contributions for the Heisenberg spin Hamiltonian and use them to study the magnetization processes of spin-$S$ triangular and kagomé antiferromagnets.

arXiv comment8 pages, 3 figures

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Cited by in corpus (17)

• Quantum order by disorder in the Kitaev model on a triangular lattice
• Order by quenched disorder in the model triangular antiferromagnet RbFe(MoO4)2
• Magnetization Process of the Spin-S Kagome-Lattice Heisenberg Antiferromagnet
• Topological Hybrids of Magnons and Magnon Bound Pairs
• Ground state selection by magnon interactions in the fcc antiferromagnet
• Magnon interactions in the quantum paramagnetic phase of CoNb${}_2$O${}_6$
• Umbrella-coplanar transition in the triangular XXZ model with arbitrary spin
• Anisotropic exchange and non-collinear antiferromagnets on a noncentrosymmetric fcc structure as in the half-Heuslers
• Non-Coplanar Model States in Quantum Magnetism Applications of the High-Order Coupled Cluster Method
• Proximity-induced sequence of field transitions in Kitaev candidate BaCo${}_2$(AsO${}_4$)${}_2$
• Quantum selection of order and dynamic properties of Kitaev-Heisenberg ferromagnet on a triangular lattice
• Order by disorder in a four flavor Mott-insulator on the fcc lattice
• Fully-frustrated octahedral antiferromagnets: emergent complexity in external field
• Self-consistent spin-wave analysis of the 1/3 magnetization plateau in the kagome antiferromagnet
• Robust semiclassical magnetization plateau in the kagome lattice
• Programmable order by disorder effect and underlying phases through dipolar quantum simulators
• Field-induced states and thermodynamics of the frustrated Heisenberg antiferromagnet on a square lattice