3D non-Fermi liquid behavior from 1D quantum critical local moments

Abstract

We study the temperature dependence of the electrical resistivity in a system composed of critical spin chains interacting with three dimensional conduction electrons and driven to criticality via an external magnetic field. The relevant experimental system is Yb${}_2$Pt${}_2$Pb, a metal where itinerant electrons coexist with localized moments of Yb-ions which can be described in terms of effective S = 1/2 spins with dominantly one-dimensional exchange interaction. The spin subsystem becomes critical in a relatively weak magnetic field, where it behaves like a Luttinger liquid. We theoretically examine a Kondo lattice with different effective space dimensionalities of the two interacting subsystems. We characterize the corresponding non-Fermi liquid behavior due to the spin criticality by calculating the electronic relaxation rate and the dc resistivity and establish its quasi linear temperature dependence.

5+8 pages, 2+1 figures

References in corpus (6)

• Quantum Criticality in Heavy Fermion Metals
• Frustration and the Kondo effect in heavy fermion materials
• Orbital-Exchange and Fractional Quantum Number Excitations in an f-electron Metal Yb${}_2$Pt${}_2$Pb
• Yb${}_2$Pt${}_2$Pb: Magnetic frustration in the Shastry-Sutherland lattice
• Field-induced incommensurate order for the quasi-one-dimensional XXZ model in a magnetic field
• Electronic relaxation rates in metallic ferromagnets

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