Anisotropic bond percolation in two dimensions

D. Arovas, R. N. Bhatt, B. Shapiro

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


A new single-parameter renormalization-group equation is formulated for anisotropic bond percolation in two dimensions using a position-space renormalization approach. The new equation yields the exact critical line px+py=1 within both the Migdal-Kadanoff decimation and cell renormalization schemes. For large anisotropy, however, an additional critical line appears leading to a spurious divergence in the correlation-length critical exponent. An alternative scheme, which does not preserve the exact critical surface, but yields a correlation-length exponent relatively independent of anisotropy, is also examined.

Original languageEnglish (US)
Pages (from-to)1433-1437
Number of pages5
JournalPhysical Review B
Issue number3
StatePublished - 1983
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics


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