Kink confinement in the antiferromagnetic XXZ spin-1/2 chain in a weak staggered magnetic field

Abstract

The Heisenberg XXZ spin-1/2 chain is considered in the massive antiferromagnetic regime in the presence of a staggered longitudinal magnetic field. The Hamiltonian of the model is characterised by the anisotropy parameter $\Delta <-1$, and by the magnetic field strength h. At zero magnetic field, the model is exactly solvable. In the thermodynamic limit, it has two degenerate vacua and the kinks (which are also called spinons) interpolating between these vacua, as elementary excitations. Application of the staggered magnetic field breaks integrability of the model and induces the long-range attractive potential between two adjacent kinks leading to their confinement into the bound states. The energy spectra of the resulting two-kink bound states are perturbatively calculated in the extreme anisotropic (Ising) limit $\Delta \to -\infty$ to the first order in the inverse anisotropy constant $|\Delta {|}^{-1}$, and also for generic values of $\Delta <-1$ to the first order in the weak magnetic field h.

publishes version, minor changes, misprints corrected

References in corpus (6)

• Real time confinement following a quantum quench to a non-integrable model
• Spinon confinement in a quasi one dimensional anisotropic Heisenberg magnet
• Energy spectrum of bound-spinons in the quantum Ising spin-chain ferromagnet
• Spinon Confinement in the One-Dimensional Ising-Like Antiferromagnet SrCo2V2O8
• Excited state TBA and renormalized TCSA in the scaling Potts model
• Radiative corrections to the quark masses in the ferromagnetic Ising and Potts field theories

Cited by in corpus (11)

• Quasilocalized dynamics from confinement of quantum excitations
• Suppression of transport in non-disordered quantum spin chains due to confined excitations
• Discrete time-crystalline response stabilized by domain-wall confinement
• Emergent Bloch oscillations in a kinetically constrained Rydberg spin lattice
• Quenches and confinement in a Heisenberg-Ising spin ladder
• Confinement in the spectrum of a Heisenberg-Ising spin ladder
• Spinon confinement in the gapped antiferromagnetic XXZ spin-1/2 chain
• Soliton confinement in the double sine-Gordon model
• Edge Spin fractionalization in one-dimensional spin-$S$ quantum antiferromagnets
• Confinement of spinons in the XXZ spin-1/2 chain in presence of the transverse magnetic field
• Confinement in the tricritical Ising model