Microscopic model for Bose-Einstein condensation and quasiparticle decay

Abstract

Sufficiently dimerized quantum antiferromagnets display elementary S=1 excitations, triplon quasiparticles, protected by a gap at low energies. At higher energies, the triplons may decay into two or more triplons. A strong enough magnetic field induces Bose-Einstein condensation of triplons. For both phenomena the compound IPA-CuCl3 is an excellent model system. Nevertheless no quantitative model was determined so far despite numerous studies. Recent theoretical progress allows us to analyse data of inelastic neutron scattering (INS) and of magnetic susceptibility to determine the four magnetic couplings J1=-2.3meV, J2=1.2meV, J3=2.9meV and J4=-0.3meV. These couplings determine IPA-CuCl3 as system of coupled asymmetric S=1/2 Heisenberg ladders quantitatively. The magnetic field dependence of the lowest modes in the condensed phase as well as the temperature dependence of the gap without magnetic field corroborate this microscopic model.

6 pages, 5 figures

References in corpus (6)

• Complete bond-operator theory of the two-chain spin ladder
• Systematic Mapping of the Hubbard Model to the Generalized t-J Model
• Decay of quasiparticles in quantum spin liquids
• Low Temperature Dynamics of Magnons in a Spin-1/2 Ladder Compound
• Vertex corrections in the dynamic structure factor in spin ladders
• Magnon mode truncation in a rung-dimerized asymmetric spin ladder

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• Magnetic ordering induced by interladder coupling in the spin-1/2 Heisenberg two-leg ladder antiferromagnet C${}_9$H${}_{18}$N${}_2$CuBr${}_4$
• Bose - Einstein condensation of triplons with a weakly broken U(1) symmetry
• Finite temperature line-shapes of hard-core bosons in quantum magnets: A diagrammatic approach tested in one dimension
• Multi-Particle Spectral Properties in the Transverse Field Ising Model by Continuous Unitary Transformations
• Bond Randomness Induced Magnon Decoherence in a Spin-1/2 Ladder Compound
• Antiferromagnetic Chern insulator in centrosymmetric systems
• Minimal model for the frustrated spin ladder system BiCu${}_2$PO${}_6$
• Low temperature thermodynamics of multi-flavored hardcore bosons by the Brückner approach
• Effective Models for the Anderson Impurity and the Kondo Model from Continuous Unitary Transformations
• Field-induced ordering in a random-bond quantum spin ladder compound with weak anisotropy
• Topological Properties of Single-Particle States Decaying into a Continuum due to Interaction