Critical dynamics of Heisenberg spins on self-avoiding-walk chains

Bhattacharya, S. ; Chakrabarti, B. K. (1984) Critical dynamics of Heisenberg spins on self-avoiding-walk chains Journal of Physics A: Mathematical and General, 17 (14). L761-L763. ISSN 0305-4470

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Official URL: http://iopscience.iop.org/0305-4470/17/14/007?from...

Related URL: http://dx.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.

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