A modified triplet-wave expansion method applied to the alternating Heisenberg chain

Abstract

An alternative triplet-wave expansion formalism for dimerized spin systems is presented, a modification of the 'bond operator' formalism of Sachdev and Bhatt. Projection operators are used to confine the system to the physical subspace, rather than constraint equations. The method is illustrated for the case of the alternating Heisenberg chain, and comparisons are made with the results of dimer series expansions and exact diagonalization. Some discussion is included of the phenomenon of 'quasiparticle breakdown', as it applies to the two-triplon bound states in this model.

16 pages, 12 figures

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• ${\mathbb{Z}}_2$ topological quantum paramagnet on a honeycomb bilayer
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• Non-linear bond-operator theory and 1/d expansion for coupled-dimer magnets II: Antiferromagnetic phase and quantum phase transition
• Linked-cluster expansions for quantum magnets on the hypercubic lattice
• Two-particle bound states and one-particle structure factor in a Heisenberg bilayer system
• Fragility of ${\mathcal{Z}}_2$ topological invariant characterizing triplet excitations in a bilayer kagome magnet
• Finite temperature dynamical correlations for the dimerized spin-1/2 chain
• Higher-order topology and corner triplon excitations in two-dimensional quantum spin-dimer models
• Promising regimes for the observation of topological degeneracy in spin chains