On the weak confinement of kinks in the one-dimensional quantum ferromagnet CoNb2O6

Abstract

In a recent paper Coldea et al (2010 Science {\bf 327} 177) report observation of the weak confinement of kinks in the Ising spin chain ferromagnet CoNb2O6 at low temperatures. To interpret the entire spectra of magnetic excitations measured via neutron scattering, they introduce a phenomenological model, which takes into account only the two-kink configurations of the spin chain. We present the exact solution of this model. The explicit expressions for the two-kink bound-state energy spectra and for the relative intensities of neutron scattering on these magnetic modes are obtained in terms of the Bessel function.

18 pages, 9 figures; v2: figures 1,3,4 replaced, few misprints corrected

References in corpus (6)

• Quantum criticality in an Ising chain: experimental evidence for emergent E8 symmetry
• Energy spectrum of bound-spinons in the quantum Ising spin-chain ferromagnet
• Confinement in the q-state Potts field theory
• Particle spectrum of the 3-state Potts field theory: a numerical study
• Formfactor perturbation expansions and confinement in the Ising field theory
• Two-kink bound states in the magnetically perturbed Potts field theory at T<Tc

Cited by in corpus (27)

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• Glide symmetry breaking and Ising criticality in the quasi-1D magnet CoNb${}_2$O${}_6$
• Dynamical phase transitions in quantum spin models with antiferromagnetic long-range interactions
• Dynamical hadron formation in long-range interacting quantum spin chains
• Scaling properties of the dynamics at first-order quantum transitions when boundary conditions favor one of the two phases
• Finite-size scaling at first-order quantum transitions when boundary conditions favor one of the two phases
• Nonlinear spectroscopy of bound states in perturbed Ising spin chains
• Quenches and confinement in a Heisenberg-Ising spin ladder
• Confinement in the spectrum of a Heisenberg-Ising spin ladder
• Kink confinement in the antiferromagnetic XXZ spin-1/2 chain in a weak staggered magnetic field
• Exploring Two-dimensional Coherent Spectroscopy with Exact Diagonalization: Spinons and Confinement in 1D Quantum Magnets
• Spectral signatures of magnetic Bloch oscillations in one-dimensional easy-axis ferromagnets
• Transforming from Kitaev to Disguised Ising Chain: Application to CoNb${}_2$O${}_6$
• Low Temperature Domain Wall Freezing and Non-Equilibrium Dynamics in the Transverse-Field Ising Model Material CoNb${}_2$O${}_6$
• Out-of-equilibrium dynamics across the first-order quantum transitions of one-dimensional quantum Ising models
• Dynamical structure factor of magnetic Bloch oscillations at finite temperatures
• Mesons in a quantum Ising ladder
• Interaction effects of pseudospin-based magnetic monopoles and kinks in a doped dipolar superlattice gas
• Signatures of Domain-Wall Confinement in Raman Spectroscopy of Ising Spin Chains
• Quantum thermal machine regimes in the transverse-field Ising model
• Quantum quenches across continuous and first-order quantum transitions in one-dimensional quantum Ising models
• Long-time divergences in the nonlinear response of gapped one-dimensional many-particle systems
• Confinement in the tricritical Ising model