Physics – Condensed Matter
Scientific paper
1996-04-09
J.Phys.Condens.Matter 9 (1997) 1831-1839
Physics
Condensed Matter
18 pages in latex, 2 figures in postscript
Scientific paper
10.1088/0953-8984/9/8/012
The Heisenberg antiferromagnetic spin chain with both dimerization and frustration is studied. The classical ground state has three phases (a Neel phase, a spiral phase and a colinear phase), around which a planar spin-wave analysis is performed. In each phase, we discuss a non-linear sigma model field theory describing the low energy excitations. A renormalization group analysis of the SO(3) matrix-valued field theory of the spiral phase leads to the conclusion that the theory becomes $SO(3) \times SO(3)$ and Lorentz invariant at long distances. This theory is analytically known to have a massive spin-1/2 excitation. We also show that $Z_2 ~$ solitons in the field theory lead to a double degeneracy in the spectrum for half-integer spins.
Rao Sumathi
Sen Diptiman
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