2016/11/29 by P. Wölfle, Peter Wölfle, Jörg Schmalian +1
Materials Science · Physics and Astronomy · #Boson #Condensed matter physics #Coupling (piping) #Critical exponent #Critical phenomena #Critical point (mathematics) #Fermion #Fixed point #Infrared fixed point #Iron-based superconductors research #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum critical point #Quantum electrodynamics #Quantum gravity #Quantum mechanics #Quantum phase transition #Quasiparticle #Rare-earth and actinide compounds #Renormalization #Scaling #Superconductivity #Thermal quantum field theory #Ultraviolet fixed point #cond-mat.str-el
paper · pdf · doi:10.1088/1361-6633/aa5751
submitted as part of the Special Issue on Strongly Correlated Electron Systems in Reports on Progress in Physics
arxiv created 2016/11/29 · openalex publication_date 2017/03/17 · arxiv updated 2017/03/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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.