A Quantitative Solution to the Kondo Lattice Problem

Abstract

Metallic Kondo Lattice systems that have been prepared to exhibit a competition between ordering of magnetic moments and shielding of those moments by the conduction electrons down to absolute zero display unusual low-temperature responses. Here we show that the dominant response of such systems is caused by two quantum effects: zero-point motion of the ions, and the size of the system restricting the allowed wavelengths of fluctuations. This zero-point motion of the ions induces a broad distribution in Kondo shielding temperatures that renders the assumption of a uniform heavy-fermion ground state untenable. However, letting go of this assumption and instead incorporating these two quantum effects leads to percolation physics that quantitatively captures the non-Fermi liquid response in both stoichiometric and doped quantum critical compounds, allowing for a unified description of all quantum critical systems.

arXiv comment9 pages, 6 figures; submitted to PRB

References in corpus (14)

• Locally critical quantum phase transitions in strongly correlated metals
• The break up of heavy electrons at a quantum critical point
• Onset of antiferromagnetism in heavy fermion metals
• Non-Fermi Liquid Behavior in U and Ce Alloys: Criticality, Disorder, Dissipation, and Griffiths-McCoy singularities
• Ferromagnetic quantum critical fluctuations in YbRh_2(Si_{0.95}Ge_{0.05})_2
• Evidence for a Non-Fermi-Liquid Phase in Ge-Substituted YbRh2Si2
• Ac Susceptibility and Static Magnetization Measurements of CeRu${}_2$Si${}_2$ at Small Magnetic Fields and Ultra Low Temperatures
• From incommensurate correlations to mesoscopic spin resonance in YbRh2Si2
• Quantum Critical Point of Itinerant Antiferromagnet in Heavy Fermion
• Protected percolation: a new universality class pertaining to heavily-doped quantum critical systems
• Magnetic excitations in the spinel compound Li${}_x$[Mn${}_{1.96}$Li${}_{0.04}$]O${}_4$ (x= 0.2, 0.6, 0.8, 1.0): how a classical system can mimic quantum critical scaling
• Quantum critical behavior in Ce(Fe${}_{0.76}$Ru${}_{0.24}$)${}_2$Ge${}_2$: the full story
• Evidence for magnetic clusters in stoichiometric quantum critical CeRu${}_2$Si${}_2$
• The effects of disorder on Harris-criterion violating percolation