Critical phenomena near the antiferromagnetic quantum critical point of Heavy-Fermions

Abstract

We present a study of the critical phenomena around the quantum critical point in heavy-fermion systems. In the framework of the S=1/2 Kondo lattice model, we introduce an extended decoupling scheme of the Kondo interaction which allows one to treat the spin fluctuations and the Kondo effect on an equal footing. The calculations, developed in a self-consistent one-loop approximation, lead to the formation of a damped collective mode with a dynamic exponent z=2 in the case of an antiferromagnetic instability. The system displays a quantum-classical crossover at finite temperature depending how the energy of the mode, on the scale of the magnetic correlation length, compares to k_B T. The low temperature behavior, in the different regimes separated by the crossover temperatures, is then discussed for both 2- and 3-dimensional systems.

24 pages, 5 figures, added references

References in corpus (7)

• Interplay of disorder and spin fluctuations in the resistivity near a quantum critical point
• Scaling of magnetic fluctuations near a quantum phase transition
• Evidence for a common physical description of non-Fermi-liquid behavior in f-electron systems
• Theories of non-Fermi liquid behavior in heavy fermions
• Quantum Critical Behavior in Kondo Systems
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• Intermediate coupling fixed point study in the overscreened regime of generalized multichannel SU(N) Kondo models
• Zero Temperature Series Expansions for the Kondo Lattice Model
• Pressure dependence of the spin dynamics around a quantum critical point : An inelastic neutron scattering study of Ce0.87La0.13Ru2Si2
• Antiferromagnetic phase of the Kondo-insulator
• Hole-Doping Effects on a Two-dimensional Kondo Insulator
• Quasiparticle Band Structure and Spin Excitation Spectrum of the Kondo Lattice
• Finite temperature strong-coupling expansions for the Kondo lattice model
• 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
• Anomalous Local Criticality in Heavy Fermion Metals from Holography