Energy Spectrum of Bound-Spinons in the Quantum Ising Spin-Chain Ferromagnet

2007/12/19 by S. B. Rutkevich · 70 citations
Physics and Astronomy · #Bound state #Chain (unit) #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Energy (signal processing) #Excitation #Ferromagnetism #Ising model #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Spectrum (functional analysis) #Spin (aerodynamics) #Spinon #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1007/s10955-008-9495-1

published in Journal of Statistical Physics 131(5), 917-939 (Springer Science+Business Media) · 33 pages, 8 figures

arxiv created 2007/12/19 · openalex publication_date 2008/04/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the excitation energy spectrum in the S=1/2 ferromagnetic Ising spin chain with the easy axis z in a magnetic field h=h_x,0,h_z. According to Wu and McCoy's scenario of weak confinement, the fermionic spinon excitations (kinks), being free at h_z = 0 in the ordered phase, are coupled into bosonic bound states at arbitrary small h_z. We calculate the energy spectrum of such excitations in the leading order in small h_z, using different perturbative methods developed for the similar problem in the Ising field theory.

Citations

• Ward Identities and Integrable Differential Equations in the Ising Field Theory
• INTEGRALS OF MOTION AND S-MATRIX OF THE (SCALED) T = Tc ISING MODEL WITH MAGNETIC FIELD
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

Cited by

• Fine-grained dynamics of entanglement in non-integrable quenches far across the Ising quantum critical point
• Quantum Criticality in an Ising Chain: Experimental Evidence for Emergent E 8 Symmetry
• Out-of-equilibrium dynamics across the first-order quantum transitions of one-dimensional quantum Ising models