Minimal model for the frustrated spin ladder system BiCu${}_2$PO${}_6$

Abstract

To establish the microscopic model of the compound BiCu${}_2$PO${}_6$ is a challenging task. Inelastic neutron scattering experiments showed that the dispersion of this material is non-degenerate suggesting the existence of anisotropic interactions. Here we present a quantitative description of the excitation spectrum for BiCu${}_2$PO${}_6$ on the one-particle level. The solution of the isotropic frustrated spin ladder by continuous unitary transformations is the starting point of our approach. Further couplings such as isotropic interladder couplings and anisotropic interactions are included on the mean-field level. Our aim is to establish a minimal model built on the symmetry allowed interactions and to find a set of parameters, which allow us to describe the low-energy part of the dispersion without assuming unrealistic couplings.

21 pages

References in corpus (7)

• Spontaneous Magnon Decays
• Hall effect of triplons in a dimerized quantum magnet
• Bridging frustrated-spin-chain and spin-ladder physics: quasi-one-dimensional magnetism of BiCu2PO6
• Spin-gap behaviour in the 2-leg spin-ladder BiCu2PO6
• Decay of quasiparticles in quantum spin liquids
• Direct observation of impurity-induced magnetism in an S = 1/2 antiferromagnetic Heisenberg 2-leg spin ladder
• Frustration effect on magnetic excitations in a two-leg spin-ladder system

Cited by in corpus (2)

• 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${}_6$