Journal of Statistical Mechanics: Theory and Experiment
Volume 2008
January 2008
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Jaideep Mulherkar et al J. Stat. Mech. (2008) P01016 doi:10.1088/1742-5468/2008/01/P01016
Isolated eigenvalues of the ferromagnetic spin-J XXZ chain with kink boundary conditions
Jaideep Mulherkar1, Bruno Nachtergaele1, Robert Sims1 and Shannon Starr2
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Figure 1. The ground state and first excited state of the
XXZ chain of length 7 with  , Δ = 2.5 in the sector M = –3/2. |
| Figure 2. The low-lying spectrum of the
XXZ model for and J = 2 for various sectors. Note the twofold degeneracy for spin
2 in the sector
M = 0 corresponding to E+(0, 1) = E–(0, 1). The shaded region contains those eigenvalues which converge to continuous spectrum in the thermodynamic limit. We note that, for
Δ = 1, the gap vanishes in the thermodynamics limit. |
| Figure 3. The two kinds of low-lying Ising excitations. The left picture belongs to the set K+(m) and the right to the set K–(m). |
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Isolated eigenvalues of the ferromagnetic spin-J XXZ chain with kink boundary conditions
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