English

Infinite number of exponents for a spin glass transition

Condensed Matter 2007-05-23 v1

Abstract

We consider the behavior of the overlap of m(2)m (\geq 2) paths at the spin glass transition for a directed polymer in a random medium. We show that an infinite number of exponents is required to describe these overlaps. This is done in an ϵ=d2\epsilon = d-2 expansion without using the replica trick.

Keywords

Cite

@article{arxiv.cond-mat/9602053,
  title  = {Infinite number of exponents for a spin glass transition},
  author = {Sutapa Mukherji\cite and Somendra M. Bhattacharjee},
  journal= {arXiv preprint arXiv:cond-mat/9602053},
  year   = {2007}
}

Comments

Revtex, 1 postscript figure available on request (email: [email protected]). To appear in Phys. Rev. B1 Rapid Communication