Theory of triplon dynamics in the quantum magnet BiCu${}_2$PO${}_6$

Abstract

We provide a theory of triplon dynamics in the valence bond solid ground state of the coupled spin-ladders modelled for BiCu${}_2$PO${}_6$. Utilizing the recent high quality neutron scattering data [Nature Physics (2015), DOI: 10.1038/NPHYS3566] as guides and a theory of interacting triplons via the bond operator formulation, we determine a minimal spin Hamiltonian for this system. It is shown that the splitting of the low energy triplon modes and the peculiar magnetic field dependence of the triplon dispersions can be explained by including substantial Dzyaloshinskii-Moriya and symmetric anisotropic spin interactions. Taking into account the interactions between triplons and the decay of the triplons to the two-triplon continuum via anisotropic spin interactions, we provide a theoretical picture that can be used to understand the main features of the recent neutron scattering experimental data.

13 pages, 7 figures, 2 tables. Updated with the published version

References in corpus (6)

• Spontaneous Magnon Decays
• Bridging frustrated-spin-chain and spin-ladder physics: quasi-one-dimensional magnetism of BiCu2PO6
• Spin-gap behaviour in the 2-leg spin-ladder BiCu2PO6
• Quasiparticle-continuum level repulsion in a quantum magnet
• Decay of quasiparticles in quantum spin liquids
• Frustration effect on magnetic excitations in a two-leg spin-ladder system

Cited by in corpus (10)

• Breakdown of Magnons in a Strongly Spin-Orbital Coupled Magnet
• Magnon damping in the zigzag phase of the Kitaev-Heisenberg-$\Gamma$ model on a honeycomb lattice
• Magnon interactions in the frustrated pyrochlore ferromagnet Yb${}_2$Ti${}_2$O${}_7$
• Non-trivial topology of the quasi-one-dimensional triplons in the quantum antiferromagnet ${\text{BiCu}}_2{\text{PO}}_6$
• Minimal model for the frustrated spin ladder system BiCu${}_2$PO${}_6$
• Magnetic Phase Diagram of Frustrated Spin Ladder
• Magnetic excitations in magnetization plateaux of a frustrated spin ladder
• Two Coupled Chains are Simpler than One: Field-induced Chirality in a Frustrated Quantum Spin Ladder
• Low-energy spin excitations in field-induced phases of the spin-ladder antiferromagnet BiCu${}_2$PO${}_6$
• Interacting triplons in frustrated spin ladders: Binding and decay in BiCu${}_2$PO${}_6$