# Emergent symmetry and dimensional reduction at a quantum critical point

Title | Emergent symmetry and dimensional reduction at a quantum critical point |

Publication Type | Journal Article |

Year of Publication | 2008 |

Authors | Schmalian J, Batista CD |

Journal Title | Physical Review B |

Volume | 77 |

Pages | 094406 |

Date Published | Mar |

Type of Article | Article |

ISBN Number | 1098-0121 |

Accession Number | ISI:000254542500086 |

Keywords | ANTIFERROMAGNETS, DISORDER, magnetic-field, systems, temperature |

Abstract | We show that the spatial dimensionality of the quantum critical point associated with Bose - Einstein condensation at T=0 is reduced when the underlying lattice comprises a set of layers coupled by a frustrating interaction. For this purpose, we use an heuristic mean field approach that is complemented and justified by a more rigorous renormalization group analysis. Due to the presence of an emergent symmetry, i. e., a symmetry of the ground state that is absent in the underlying Hamiltonian, a three-dimensional interacting Bose system undergoes a chemical potential tuned quantum phase transition that is strictly two-dimensional. Our theoretical predictions for the critical temperature as a function of the chemical potential correspond very well with recent measurements in BaCuSi2O6. |

DOI | 10.1103/PhysRevB.77.094406 |

Alternate Journal | Phys. Rev. B |