Spinon confinement in the gapped antiferromagnetic XXZ spin-1/2 chain

Abstract

The infinite Heisenberg XXZ spin-(1/2) chain in the gapped antiferromagnetic regime has two degenerate vacua and kink topological excitations (which are also called spinons) interpolating between these vacua as elementary excitations. Application of an arbitrary weak staggered longitudinal magnetic field h induces a long-range attractive potential between two adjacent spinons leading to their confinement into 'meson' bound states. Exploiting the integrability of the XXZ model in the deconfined phase h = 0, we perform perturbative calculations of the energy spectra of the two-spinon bound states in the weak confinement regime at h \to +0, using the strength of the staggered magnetic field h as a small parameter. Both transverse and longitudinal dynamical structure factors of the local spin operators are calculated as well in the two-spinon approximation in the weak confinement regime to the leading order in h.

48 pages, 18 figures; v2: misprints corrected, some technical details moved into Appendix D

References in corpus (9)

• 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
• The two-spinon transverse structure factor of the gapped Heisenberg antiferromagnetic chain
• Confinement in the q-state Potts field theory
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• Effective potentials and kink spectra in non-integrable perturbed conformal field theories
• Radiative corrections to the quark masses in the ferromagnetic Ising and Potts field theories
• Integrability, Non-integrability and confinement

Cited by in corpus (5)

• Prethermalization in one-dimensional quantum many-body systems with confinement
• Chiral eigenbases of the XX and XY quantum spin chains
• Soliton confinement in the double sine-Gordon model
• Confinement and false vacuum decay on the Potts quantum spin chain
• Confinement of spinons in the XXZ spin-1/2 chain in presence of the transverse magnetic field