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.

arXiv comment21 pages

References in corpus (29)

• Exact dimer ground state of the two dimensional Heisenberg spin system SrCu_2(BO_3)_2
• Spontaneous Magnon Decays
• Hall effect of triplons in a dimerized quantum magnet
• Dispersion and Symmetry of Bound States in the Shastry-Sutherland Model
• Excitations in one-dimensional S=1/2 quantum antiferromagnets
• Unifying Magnons and Triplons in Stripe-Ordered Cuprate Superconductors
• Spectral Properties of Magnetic Excitations in Cuprate Two-Leg Ladder Systems
• Supplementary material for "Impurity-induced magnetic order in low dimensional spin gapped materials"
• 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
• Enhanced Perturbative Continuous Unitary Transformations
• The effect of Dzyaloshinskii-Moriya interactions on the phase diagram and magnetic excitations of SrCu2(BO3)2
• Dynamic Structure Factor of the Two-Dimensional Shastry-Sutherland Model
• Adapted continuous unitary transformation to treat systems with quasiparticles of finite lifetime
• Melting of a frustration-induced dimer crystal and incommensurability in the J_1-J_2 two-leg ladder
• Decay of quasiparticles in quantum spin liquids
• Field-induced quantum soliton lattice in a frustrated two-leg spin-1/2 ladder
• Incommensurate dynamic correlations in the quasi-two-dimensional spin liquid BiCu2PO6
• ESR study of the spin ladder with uniform Dzyaloshinskii-Moria interaction
• Direct observation of impurity-induced magnetism in an S = 1/2 antiferromagnetic Heisenberg 2-leg spin ladder
• Impurity effects in coupled-ladder BiCu2PO6 studied by NMR and quantum Monte Carlo simulations
• Microscopic model for Bose-Einstein condensation and quasiparticle decay
• Theory of triplon dynamics in the quantum magnet BiCu${}_2$PO${}_6$
• Doping effects in the coupled, two-leg spin ladder BiCu2PO6
• BiCu${}_2$VO${}_6$: a new narrow-band spin-gap material
• Magnetization Plateaux by Reconstructed Quasi-spinons in a Frustrated Two-Leg Spin Ladder under a Magnetic Field
• Frustration effect on magnetic excitations in a two-leg spin-ladder system
• Thermal Conductivity in the Frustrated Two-Leg Spin-Ladder System BiCu2PO6

Cited by in corpus (8)

• Topological magnon bands for magnonics
• Topological quantum paramagnet in a quantum spin ladder
• Non-trivial topology of the quasi-one-dimensional triplons in the quantum antiferromagnet ${\text{BiCu}}_2{\text{PO}}_6$
• 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${}_6$