Abstract
We study the magnetic excitations on top of the plateaux
states recently discovered in spin-Peierls systems in a
magnetic field. We show by means of extensive density
matrix renormalization group (DMRG) computations and
an analytic approach that one single spin-flip on top
of M=1-2/N (N=3,4,...) plateau decays into N
elementary excitations each carrying a fraction 1/N
of the spin. This fractionalization goes beyond the
well-known decay of one magnon into two spinons taking
place on top of the M=0 plateau. Concentrating on the
1/3 plateau (N=3) we unravel the microscopic
structure of the domain walls which carry fractional
spin-1/3, both from theory and numerics. These
excitations are shown to be noninteracting and should
be observable in X-ray and nuclear magnetic resonance
experiments.
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