Complex critical exponents for percolation transitions in Josephson-Junction arrays, antiferromagnets, and interacting bosons

Rafael M. Fernandes, Jörg Schmalian

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We show that the critical behavior of the XY quantum-rotor model undergoing a percolation transition is dramatically affected by its topological Berry phase 2πρ. In particular, for irrational ρ, its low-energy excitations emerge as spinless fermions with fractal spectrum. As a result, critical properties not captured by the usual Ginzburg-Landau-Wilson description of phase transitions arise, such as complex critical exponents, log-periodic oscillations and dynamically broken scale invariance.

Original languageEnglish (US)
Article number067004
JournalPhysical review letters
Volume106
Issue number6
DOIs
StatePublished - Feb 11 2011

Fingerprint Dive into the research topics of 'Complex critical exponents for percolation transitions in Josephson-Junction arrays, antiferromagnets, and interacting bosons'. Together they form a unique fingerprint.

Cite this