# Complex Critical Exponents for Percolation Transitions in Josephson-Junction Arrays, Antiferromagnets, and Interacting Bosons

Title | Complex Critical Exponents for Percolation Transitions in Josephson-Junction Arrays, Antiferromagnets, and Interacting Bosons |

Publication Type | Journal Article |

Year of Publication | 2011 |

Authors | Fernandes RM, Schmalian J |

Journal Title | Physical Review Letters |

Volume | 106 |

Pages | 067004 |

Date Published | 02 |

Type of Article | Article |

ISBN Number | 0031-9007 |

Accession Number | ISI:000287357100019 |

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 2 pi rho. In particular, for irrational rho, 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. |

URL | <Go to ISI>://000287357100019 |

DOI | 10.1103/PhysRevLett.106.067004 |

Alternate Journal | Phys. Rev. Lett. |