Numerical replica limit for the density correlation of the random Dirac fermion

S. Ryu, Y. Hatsugai

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


The zero-mode wave function of a massless Dirac fermion in the presence of a random gauge field is studied. The density correlation function is calculated numerically, and found to exhibit a power law in the weak randomness with a disorder-dependent exponent. It deviates from the power law, and the disorder dependence becomes frozen in the strong randomness. A classical statistical system is employed through the replica trick to interpret the results, and the direct evaluation of the replica limit is demonstrated numerically. Analytical expressions of the correlation function and the free energy are also discussed with the replica symmetry breaking and the Liouville field theory.

Original languageEnglish (US)
Article number233307
Pages (from-to)2333071-2333074
Number of pages4
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number23
StatePublished - 2001
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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