Quantum Criticality and Novel Phases: Summary and Outlook

Abstract

This conference summary and outlook provides a personal overview of the topics and themes of the August 2009 Dresden meeting on quantum criticality and novel phases. The dichotomy between the local moment and the itinerant views of magnetism is revisited and refreshed in new materials, new probes and new theoretical ideas. New universality and apparent zero temperature phases of matter move us beyond the old ideas of quantum criticality. This is accompanied by alternative pairing interactions and as yet unidentified phases developing in the vicinity of quantum critical points. In discussing novel order, the magnetic analogues of superconductivity are considered as candidate states for the hidden order that sometimes develops in the vicinity of quantum critical points in metallic systems. These analogues can be thought of as "pairing" in the particle-hole channel and are tabulated. This analogy is used to outline a framework to study the relation between ferromagnetic fluctuations and the propensity of a metal to nematic type phases which at weak coupling correspond to Pomeranchuk instabilities. This question can be related to the fundamental relations of Fermi liquid theory.

Conference summary for the 2009 Dresden Meeting on Quantum Criticality and Novel Phases. 7 pages and 4 figures. The associated presentation may be found at http://www.theory.bham.ac.uk/staff/schofield/talks/Dresden/

References in corpus (25)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• "Deconfined" quantum critical points
• Bose-Einstein Condensation in Magnetic Insulators
• Quantum criticality
• Formation of a Nematic Fluid at High Fields in Sr3Ru2O7
• Probing spin-charge separation in a Tomonaga-Luttinger liquid
• Arrested Kondo effect and hidden order in URu_2Si_2
• Fermi liquid instabilities in the spin channel
• Multiple energy scales at a quantum critical point
• Thermodynamics of the Spin Luttinger-Liquid in a Model Ladder Material
• Fermi surface instability at the hidden-order transition of URu2Si2
• Quantum Criticality and Global Phase Diagram of Magnetic Heavy Fermions
• Metastable superfluidity of repulsive fermionic atoms in optical lattices
• Where is the quantum critical point in the cuprate superconductors?
• Fermi liquid near Pomeranchuk quantum criticality
• Transport anomalies in a simplified model for a heavy electron quantum critical point
• Signature of quantum criticality in photoemission spectroscopy at elevated temperature
• Breakdown of weak-field magnetotransport at a metallic quantum critical point
• Competition and/or Coexistence of Antiferromagnetism and Superconductivity in CeRhIn${}_5$ and CeCoIn${}_5$
• Effect of disorder on a Pomeranchuk instability
• Observation of the J-sheet of the Fermi surface of YbRh2Si2
• Quantum Criticality and Novel Phases: A panel discussion
• Field-induced quantum critical point in the pressure-induced superconductor CeRhIn5
• Influence of Quantum Critical Point of First Order Valence Transition on Ce- and Yb-Based Heavy Fermions
• Magnetic Grueneisen ratio of the random transverse-field Ising chain

Cited by in corpus (6)

• Destruction of Kondo effect in cubic heavy fermion compound Ce3Pd20Si6
• Thermal and Electrical Transport across a Magnetic Quantum Critical Point
• Multiple regions of quantum criticality in YbAgGe
• Techniques to measure quantum criticality in cold atoms
• Chemically-Mediated quantum criticality in NbFe_2
• Cascade of magnetic-field-driven quantum phase transitions in Ce3Pd20Si6