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arXiv · 1712.01884

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

Laura Classen·Igor Zaliznyak·Alexei Tsvelik
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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.

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Laura Classen, Igor Zaliznyak, Alexei Tsvelik. 2017-12-05. 3D non-Fermi liquid behavior from 1D quantum critical local moments. https://doi.org/10.1103/physrevlett.120.156404

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