Journal
REPORTS ON PROGRESS IN PHYSICS
Volume 80, Issue 4, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1361-6633/aa5751
Keywords
quantum phase transition; heavy fermions; non-Fermi liquids
Categories
Funding
- NSF [PHY-1066293]
- Deutsche Forschungsgemeinschaft [SCHM 1031/4-1]
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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.
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