On The Zero Temperature Critical Point in Heavy Fermions

TL;DR

This paper extends the scaling theory of heavy fermions to account for different critical exponents at the Neel and coherence lines, analyzing non-Fermi liquid behavior and resistivity at the zero temperature critical point.

Contribution

It introduces a generalized scaling framework for heavy fermions with distinct shift and crossover exponents, exploring critical properties and hyperscaling violations.

Findings

Derived properties of non-Fermi liquids at the critical point

Analyzed electrical resistivity behavior near the critical point

Identified hyperscaling violations in the Fermi liquid regime

Abstract

We generalize the scaling theory of heavy fermions for the case the shift exponent describing the critical Neel line is different from the crossover exponent characterizing the coherence line. We obtain the properties of the non-Fermi liquid system at the critical point and in particular the electrical resistivity. We study violation of hyperscaling in the Fermi liquid regime below the coherence line where the properties of heavy fermions are described by mean-field exponents.