title: 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.
authors.affiliation: Institute for Theory of Condensed Matter, Karlsruhe Institute of Technology, 76049 Karlsruhe, Germany. Institute for Nanotechnology, Karlsruhe Institute of Technology, 76031 Karlsruhe, Germany.
authors.forename: Peter
authors.initials: P
authors.lastname: Wölfle
authors.forename: Jörg
authors.initials: J
authors.lastname: Schmalian
authors.forename: Elihu
authors.initials: E
authors.lastname: Abrahams