Energy spectrum of bound-spinons in the quantum Ising spin-chain ferromagnet

Details Energy spectrum of bound-spinons in the quantum Ising spin-chain ferromagnet Energy spectrum of bound-spinons in the quantum Ising spin-chain ferromagnet

2007-12-19

arxiv.org/abs/0712.3189v1

J. Stat. Phys., Vol. 131, N5, 917-939 (2008)

Physics

Condensed Matter

Statistical Mechanics

33 pages, 8 figures

Scientific paper

10.1007/s10955-008-9495-1

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.

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