Hall effect in heavy-fermion metals

Abstract

The heavy fermion systems present a unique platform in which strong electronic correlations give rise to a host of novel, and often competing, electronic and magnetic ground states. Amongst a number of potential experimental tools at our disposal, measurements of the Hall effect have emerged as a particularly important one in discerning the nature and evolution of the Fermi surfaces of these enigmatic metals. In this article, we present a comprehensive review of Hall effect measurements in the heavy-fermion materials, and examine the success it has had in contributing to our current understanding of strongly correlated matter. Particular emphasis is placed on its utility in the investigation of quantum critical phenomena which are thought to drive many of the exotic electronic ground states in these systems. This is achieved by the description of measurements of the Hall effect across the putative zero-temperature instability in the archetypal heavy-fermion metal YbRh${}_2$Si${}_2$. Using the Ce$M$In${}_5$ (with $M=$ Co, Ir) family of systems as a paradigm, the influence of (antiferro-)magnetic fluctuations on the Hall effect is also illustrated. This is compared to prior Hall effect measurements in the cuprates and other strongly correlated systems to emphasize on the generality of the unusual magnetotransport in materials with non-Fermi liquid behavior.

manuscript accepted in Adv. Phys

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Cited by in corpus (17)

• Interplay between Kondo suppression and Lifshitz transitions in YbRh${}_2$Si${}_2$ at high magnetic fields
• Low Temperature metamagnetism and Hall effect anomaly in Kondo compound CeAgBi2
• Separation of transport lifetimes in SrTiO3-based two-dimensional electron liquids
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• Semimetallic Kondo lattice behavior in YbPdAs with a distorted kagome structure
• Anomalous Hall Effect on the surface of topological Kondo insulators
• Kondo-hole substitution in heavy fermions: dynamics and transport
• Stacking-Selective Epitaxy of Rare-Earth Diantimonides
• Realization of a "Two Relaxation Rates" in the Hubbard-Falicov-Kimball Model
• Disorder versus two transport lifetimes in a strongly correlated electron liquid
• Heavy fermion phase diagram in magic-angle twisted trilayer graphene
• Magnetotransport studies of optimally doped Sr(Fe${}_{1-x}$Co${}_x$)${}_2$As${}_2$
• Enhanced Anomalous Nernst Effect in the Ferromagnetic Kondo Lattice CeCo2As2
• Carrier-doping effect and anomalous transport properties in Ni-doped CeCoIn5 investigated by Hall resistivity measurements