Composite Orders and Lifshitz Transition of Heavy Electrons

Abstract

Magnetic and other unconventional electronic orders are discussed for heavy electrons. In addition to the ordinary Kondo lattice, we consider non-Kramers systems taking the two-channel Kondo lattice, and another lattice that consists of a singlet-triplet f2 configuration. The latter gives a scalar order with staggered sublattices of crystalline-electric-field (CEF) and Kondo singlets, which accounts for the observed order in PrFe4P12. In the two-channel Kondo lattice, an odd-frequency pairing is realized that becomes degenerate at half-filling with a composite order involving both localized and conduction electrons. The degeneracy is interpreted in terms of a hidden SO(5) symmetry. For the ordinary Kondo lattice with exchange interaction J, we take insulating ground states as reference. The metallic states are approached by infinitesimal doping of carriers either from the Kondo insulator or from the antiferromagnetic insulator. By adding intersite exchange we find that location of the band extremum of the heavy band depends on the value of J. The change of J gives topological change of the Fermi surface, which corresponds to a generalized version of the Lifshitz transition, and occurs separately from the quantum critical point of the antiferromagnetic order.

8 pages, 5 figures, presentation at SCES2013 conference

References in corpus (14)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Continuous-time Monte Carlo methods for quantum impurity models
• The numerical renormalization group method for quantum impurity systems
• Quantum Criticality in Heavy Fermion Metals
• The Hubbard model within the equations of motion approach
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• Anisotropic spin-dynamics in the Kondo semiconductor CeRu2Al10
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• Electronic Order with Staggered Kondo and Crystalline Electric Field Singlets

Cited by in corpus (2)

• Localized-to-itinerant transition preceding antiferromagnetic quantum critical point and gapless superconductivity in CeRh${}_{0.5}$Ir${}_{0.5}$In${}_5$
• Unconventional orbital ordering and emergent dimensional reduction in fulleride superconductors