Density of states and dynamic scaling on the Vicsek snowflake fractal

@inproceedings{Ashraff1988DensityOS,
  title={Density of states and dynamic scaling on the Vicsek snowflake fractal},
  author={Javid A. Ashraff and Byron Southern},
  year={1988}
}
Real-space rescaling techniques have been employed to obtain recursion relations for the parameters characterising the dynamics of both the Heisenberg ferromagnet and antiferromagnet on the infinite Vicsek snowflake fractal. The authors have calculated the associated dynamic exponents zF and zA by linearising about the respective fixed points of the ferromagnetic/antiferromagnetic recursion relations and find them to satisfy the relation zA=zF/2. In addition, using a functional integral method… CONTINUE READING