Theories of non-Fermi liquid behavior in heavy fermions

Abstract

I review our incomplete understanding of non-Fermi liquid behavior in heavy fermion systems at a quantum critical point. General considerations suggest that critical antiferromagnetic fluctuations do not destroy the Fermi surface by scattering the heavy electrons- but by actually breaking up the internal structure of the heavy fermion. I contrast the weak, and strong-coupling view of the quantum phase transition, emphasizing puzzles and questions that recent experiments raise.

arXiv commentOverview talk, SCES Paris 1998. References to Sachdev and Ye added

References in corpus (6)

• Resistivity as a function of temperature for models with hot spots on the Fermi surface.
• Disorder-driven non-Fermi liquid behavior in Kondo alloys
• Two-dimensional fluctuations at the quantum-critical point of CeCu_{6-x}Au_x
• Scaling of magnetic fluctuations near a quantum phase transition
• A mechanism for the non-Fermi-liquid behavior in CeCu_{6-x}Au_x
• Supersymmetric Approach to Heavy-Fermion Systems

Cited by in corpus (54)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Locally critical quantum phase transitions in strongly correlated metals
• Quantum phase transitions
• Quantum Fluctuations of a Nearly Critical Heisenberg Spin Glass
• Spin-fermion model near the quantum critical point: one-loop renormalization group results
• Spatial Correlations in Dynamical Mean Field Theory
• Local fluctuations in quantum critical metals
• Superconductivity on the threshold of magnetism in CePd2Si2 and CeIn3
• Critical local-moment fluctuations, anomalous exponents, and omega/T scaling in the Kondo problem with a pseudogap
• Magnetotransport in nearly antiferromagnetic metals
• Competing Ground States in Triple-layered Sr4Ru3O10: Verging on Itinerant Ferromagnetism with Critical Fluctuations
• Phase Inhomogeneity of the Itinerant Ferromagnet MnSi at High Pressures
• Renormalization group study of random quantum magnets
• Numerical renormalization-group study of the Bose-Fermi Kondo model
• Quantum Critical Behavior in Kondo Systems
• Anomalous reduction of the Lorenz ratio at the quantum critical point in YbAgGe
• Supersymmetric spin operators
• muSR and inelastic neutron scattering investigations of the caged type Kondo semimetals: CeT2Al10 (T=Fe, Ru and Os)
• Another dimension: investigations of molecular magnetism using muon-spin relaxation
• Magnetic ground state of CeNi${}_{1-x}$Cu${}_x$: A calorimetric investigation
• Global Phase Diagram of the Kondo Lattice: From Heavy Fermion Metals to Kondo Insulators
• Global entanglement and quantum phase transitions in the transverse XY Heisenberg chain
• d-wave superconductivity in the frustrated two-dimensional periodic Anderson model
• Theory of Scanning Tunneling Spectroscopy: from Kondo Impurities to Heavy Fermion Materials
• Quantum Critical Point in the Spin Glass-Kondo Transition in Heavy Fermion Systems
• Critical phenomena near the antiferromagnetic quantum critical point of Heavy-Fermions
• Non-Fermi-liquid behavior in the Kondo lattices induced by peculiarities of magnetic ordering and spin dynamics
• Optical conductivity near finite-wavelength quantum criticality
• A large-N analysis of the local quantum critical point and the spin-liquid phase
• Spin Glass and antiferromagnetism in Kondo lattice disordered systems
• Kondo engineering : from single Kondo impurity to the Kondo lattice
• Quantum critical point in the spin glass-antiferromagnetism competition in Kondo-lattice systems
• Central peak in the pseudogap of high T_c superconductors
• Pressure dependence of the spin dynamics around a quantum critical point : An inelastic neutron scattering study of Ce0.87La0.13Ru2Si2
• Quantum critical point in a periodic Anderson model
• Charge-Neutral Electronic Excitations in Quantum Insulators
• Physical properties of (Mn 0.85 Fe 0.15) Si along the critical trajectory
• Search for a quantum phase transition in U(Pt_(1-x)Pd_x)_3
• Non-Fermi-liquid behavior in Ce(Ru${}_{1-x}$Fe${}_x$)${}_2$Ge${}_2$: cause and effect
• The Kondo-lattice state and non-Fermi-liquid behavior in the presence of Van Hove singularities
• Non-Fermi liquid behaviour from dynamical effects of impurity scattering in correlated Fermi liquids
• Recovery of the Fermi-liquid state in U_3Ni_3Sn_4 by pressure
• Magnetoresistance in quasi-one-dimensional metals due to Fermi surface cold spots
• Hole-Doping Effects on a Two-dimensional Kondo Insulator
• Quantum many-body physics from a gravitational lens
• Bose system critical dynamics near quantum phase transition
• The Kondo lattice model from strong-coupling viewpoint
• Renormalization group approach of itinerant electron systems near the Lifshitz point
• Transition from a strong-coupling fixed point to an intermediate-coupling fixed point in a single-channel SU(N) Kondo model: role of the filling and two-stage screening
• Evidence for freezing of charge degrees of freedom across a critical point in CeCoIn${}_5$
• Disorder effects in the quantum Heisenberg model: An Extended Dynamical mean-field theory analysis
• High pressure transport study of non-Fermi liquid behaviour in U2Pt2In and U3Ni3Sn4
• Role of domain wall fluctuations in non-Fermi liquid behavior of metamagnets
• Non-Fermi Liquid Behavior Close to a Quantum Critical Point in a Ferromagnetic State without Local Moments