Quantum critical behavior in heavy electron materials

Abstract

Quantum critical behavior in heavy electron materials is typically brought about by changes in pressure or magnetic field. In this communication, we develop a simple unified model for the combined influence of pressure and magnetic field on the effectiveness of the hybridization that plays a central role in the two-fluid description of heavy electron emergence. We show that it leads to quantum critical and delocalization lines that accord well with those measured for CeCoIn5, yields a quantitative explanation of the field and pressure induced changes in antiferromagnetic ordering and quantum critical behavior measured for YbRh2Si2, and provides a valuable framework for describing the role of magnetic fields in bringing about quantum critical behavior in other heavy electron materials.

29 pages, 6 figures, with minor corrections, submitted to PNAS

References in corpus (21)

• Locally critical quantum phase transitions in strongly correlated metals
• Hall-effect evolution across a heavy-fermion quantum critical point
• Magnetic-Field Induced Quantum Critical Point in YbRh${}_2$Si${}_2$
• Field-Induced Quantum Critical Point in CeCoIn5
• Superconductivity and Quantum Criticality in CeCoIn_5
• Multiple energy scales at a quantum critical point
• Scaling in the Emergent Behavior of Heavy Electron Materials
• Universal Behavior in Heavy Electron Materials
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• Thermal and Electrical Transport across a Magnetic Quantum Critical Point
• Quasiparticles beyond the Fermi liquid and heavy fermion criticality
• Pressure Study of Quantum Criticality in CeCoIn5
• Towards the identification of a quantum critical line in the (p, B) phase diagram of CeCoIn5
• Emergent states in heavy electron materials
• Response of the Heavy-Fermion Superconductor CeCoIn${}_5$ to Pressure: Roles of Dimensionality and Proximity to a Quantum-Critical Point
• Long range order and two-fluid behavior in heavy electron materials
• Field-induced quantum critical point in CeCoIn_5
• Separation of energy scales in undoped YbRh${}_2$Si${}_2$ under hydrostatic pressure
• Evidence for a Kondo destroying quantum critical point in YbRh2Si2
• Magnetic excitations in Kondo liquid: Superconductivity and Hidden Magnetic Quantum Critical Fluctuations
• Anomalous Hall effect in heavy electron materials

Cited by in corpus (16)

• Two-Fluid Model for Heavy Electron Physics
• Quantum phase transition inside the superconducting dome of Ba(Fe${}_{1-x}$Co${}_x$)${}_2$As${}_2$ probed by optical magneto-sensing using NV-centers in diamond
• Toward a New Microscopic Framework for Kondo Lattice Materials
• Quantum critical scaling and fluctuations in Kondo lattice materials
• The Emergence of Superconductivity in Heavy Electron Materials
• A unified theory of ferromagnetic quantum phase transitions in heavy fermion metals
• Quantum critical scaling and superconductivity in heavy electron materials
• Coherence Temperature in the Diluted Periodic Anderson Model
• Strongly correlated Fermi systems as a new state of matter
• Kondo screening and beyond: an x-ray absorption and dichroism study of CePt${}_5$/Pt(111)
• A Simple Solvable Model for Heavy Fermion Superconductivity from the Two-Fluid Normal State
• An emerging global picture of heavy fermion physics
• Nonlocal Kondo effect and two-fluid picture revealed in an exactly solvable model
• Breakdown of Landau Fermi liquid theory: restrictions on the degrees of freedom of quantum electrons
• The quantum ferromagnetic transition in a clean Kondo lattice is discontinuous
• Universal behavior in the Nernst effect of heavy fermion materials