Metamagnetic Quantum Criticality in Sr3Ru2O7

Research output: Chapter in Book/Report/Conference proceedingChapter


  • AJ Millis
  • GG Lonzarich
  • C Noce (Ed)
  • A Vecchione (Ed)
  • M Cuoco (Ed)
  • A Romano (Ed)


We consider the metamagnetic transition in the bilayer ruthenate, ${\rm Sr_3Ru_2O_7}$, and use this to motivate a renormalization group treatment of a zero-temperature quantum-critical end-point. We summarize the results of mean field theory and give a pedagogical derivation of the renormalization-group equations. These are then solved to yield numerical results for the susceptibility, the specific heat and the resistivity exponent which can be compared with measured data on ${\rm Sr_3Ru_2O_7}$ to provide a powerful test for the standard framework of metallic quantum criticality. The observed approach to the critical point is well-described by our theory explaining a number of unusual features of experimental data. The puzzling behaviour very near to the critical point itself, though, is not accounted for by this, or any other theory with a Fermi surface.


Original languageEnglish
Title of host publicationRuthenate and Rutheno-Cuprate Materials
Subtitle of host publicationUnconventional Superconductivity, Magnetism and Quantum Phase Transitions
Publication statusPublished - 1 Jan 2002

Publication series

NameLecture Notes in Physics
ISSN (Print)0075-8450