Ruthenate and Rutheno-Cuprate Materials

Volume 603 of the series Lecture Notes in Physics pp 271-289


Metamagnetic Quantum Criticality in Sr3Ru2O7

  • A. J. SchofieldAffiliated withSchool of Physics and Astronomy, University of Birmingham
  • , A. J. MillisAffiliated withDepartment of Physics, Columbia University
  • , S. A. GrigeraAffiliated withSchool of Physics and Astronomy, University of St. Andrews
  • , G. G. LonzarichAffiliated withCavendish Laboratory

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We consider the metamagnetic transition in the bilayer ruthenate, Sr3Ru2O7, 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 Sr3Ru2O7 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.