Critical dynamics of Heisenberg spins on self-avoiding-walk chains
- 1 October 1984
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 17 (14), L761-L763
- https://doi.org/10.1088/0305-4470/17/14/007
Abstract
The dynamical exponent z for the critical spin-wave dynamics of nearest-neighbour interacting Heisenberg spins on a self-avoiding-walk (SAW) chain is estimated here using a scaling picture and also applying a real-space renormalisation group technique to some quasilinear fractal lattices. The results indicate z=2Dt, where D is the fractal dimensionality of the SAW chain lattice and t is the exponent for the length of the shortest nearest-neighbour connecting path of the SAW.Keywords
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