Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2000-08-22
Phys. Rev. B v.63, 064418 (2001), 8 pages
Physics
Condensed Matter
Strongly Correlated Electrons
11 pages revtex, 6 figures
Scientific paper
10.1103/PhysRevB.63.064418
We study, both numerically and variationally, the interplay between different types of elementary excitations in the model of a spin chain with anisotropic spin-orbit coupling, in the vicinity of the "dimer line" with an exactly known dimerized ground state. Our variational treatment is found to be in a qualitative agreement with the exact diagonalization results. Soliton pairs are shown to be the lowest excitations only in a very narrow region of the phase diagram near the dimer line, and the phase transitions are always governed by magnon-type excitations which can be viewed as soliton-antisoliton bound states. It is shown that when the anisotropy exceeds certain critical value, a new phase boundary appears. In the doped model on the dimer line, the exact elementary charge excitation is shown to be a hole bound to a soliton. Bound states of those "charged solitons" are studied; exact solutions for N-hole bound states are presented.
Kolezhuk Alexei K.
Mikeska Hans-J"urgen
Schollwoeck Ulrich
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