Strong coupling theory of heavy fermion criticality II

Abstract

We present a theory of the scaling behavior of the thermodynamic, transport and dynamical properties of a three-dimensional metal governed by $d$-dimensional fluctuations at a quantum critical point, where the electron quasiparticle effective mass diverges. We determine how the critical bosonic order parameter fluctuations are affected by the effective mass divergence. The coupled system of fermions and bosons is found to be governed by two stable fixed points: the conventional weak-coupling fixed point and a new strong-coupling fixed point, provided the boson-boson interaction is irrelevant. The latter fixed point supports hyperscaling, characterized by fractional exponents. The theory is applied to the antiferromagnetic critical point in certain heavy fermion compounds, in which the strong-coupling regime is reached.

arXiv commentsubmitted as part of the Special Issue on Strongly Correlated Electron Systems in Reports on Progress in Physics

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• Spin-liquid signatures in the quantum critical regime of pressurized CePdAl
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• Transport Spectroscopy of the Field Induced Cascade of Lifshitz Transitions in YbRh2Si2
• Nearly-degenerate $p_x+i{p}_y$ and $d_{x^2-y^2}$ pairing symmetry in the heavy fermion superconductor YbRh${}_2$Si${}_2$
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• Zero-Field Quantum Critical Point in Ce${}_{0.91}$Yb${}_{0.09}$CoIn${}_5$
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