Fermionic spin excitations in two and three-dimensional antiferromagnets

Abstract

Spin excitations in an ordered Heisenberg magnet are magnons--bosons with spin 1. That may change when frustration and quantum fluctuations suppress the order and restore the spin-rotation symmetry. We show that spin excitations in the $S=1/2$ Heisenberg antiferromagnet on kagome are spinons--fermions with spin 1/2. In the ground state the system can be described as a collection of small, heavy pairs of spinons with spin 0. A magnetic excitation of lowest energy amounts to breaking up a pair into two spinons at a cost of $0.06J$.

4 pages, 4 figures, accepted version of the manuscript

References in corpus (14)

• Bose-Einstein Condensation in Magnetic Insulators
• First excitations of the spin 1/2 Heisenberg antiferromagnet on the kagomé lattice
• Properties of an algebraic spin liquid on the kagome lattice
• Ground State of the Kagome Lattice Heisenberg Antiferromagnet
• Dirac, Anderson, and Goldstone on the Kagome
• Electronic Orbital Currents and Polarization in Mott Insulators
• Physics of low energy singlet states of the Kagome lattice quantum Heisenberg antiferromagnet
• Magnetization Process of the S=1 and 1/2 Uniform and Distorted Kagome Heisenberg Antiferromagnets
• Elementary excitations in the $\Delta$-chain
• On Quantum Solitons in the Sawtooth Lattice
• Triplet and Singlet Excitations in the Valence Bond Crystal Phase of Kagome Lattice Heisenberg Model
• Quantum kagome antiferromagnet in a magnetic field: Low-lying non-magnetic excitations versus valence-bond crystal order
• SU(2)-invariant spin-1/2 Hamiltonians with RVB and other valence bond phases
• Quantum dimer model with extensive ground-state entropy on the kagome lattice

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