Rise and Fall of Non-Fermi Liquid Fixed Points in Multipolar Kondo Problems

Abstract

Recently it was shown that the multipolar Kondo problem, wherein a quantum impurity carrying higher-rank multipolar moments interacts with conduction electrons, leads to novel non-Fermi liquid states. Because of the multipolar character of the local moments, the form of the interaction with conduction electrons is strongly dependent on the orbital-symmetry of the conduction electrons via crystalline symmetry constraints. This suggests that there may exist a variety of different non-Fermi liquid states in generic multipolar Kondo problems depending on the character of conduction electrons. In this work, using renormalization group analysis, we investigate a model where the multipolar local moment is coupled to conduction electrons with two different orbital-symmetry components, namely $p$-wave and $f$-wave symmetries. When each orbital-symmetry component is present alone, non-Fermi liquid states with exactly the same thermodynamic singularities appear. When both orbital-symmetry components are allowed, however, a completely different non-Fermi liquid state arises via the quantum fluctuations in the mixed scattering channels. This remarkable result suggests that the multipolar Kondo problem presents novel opportunities for the discovery of unexpected non-Fermi liquid states.

arXiv comment6+6 pages, 2 figures

References in corpus (18)

• Strange metal in magic-angle graphene with near Planckian dissipation
• High Temperature Superconductivity in Iron Pnictides and Chalcogenides
• Kondo Effects and Multipolar Order in the cubic PrTr2Al20 (Tr=Ti, V)
• Recent Developments in Non-Fermi Liquid Theory
• Heavy Fermion Superconductivity in the Quadrupole Ordered State of PrV2Al20
• Superconductivity in the Ferroquadrupolar State in the Quadrupolar Kondo Lattice PrTi${}_2$Al${}_{20}$
• Ferro-quadrupolar ordering in PrTi${}_2$Al${}_{20}$
• Evidence for a nematic component to the Hidden Order parameter in URu2Si2 from differential elastoresistance measurements
• Unveiling Hidden Orders: Magnetostriction as a Probe of Multipolar-Ordered States
• Single-Site Non-Fermi Liquid Behaviors in a Diluted 4$f^2$ System Y${}_{1-x}$Pr${}_x$Ir${}_2$Zn${}_{20}$
• Landau theory of multipolar orders in Pr(TM)${}_2$X${}_{20}$ Kondo materials
• Two-stage multipolar ordering in Pr(TM)${}_2$Al${}_{20}$ Kondo materials
• Large-N Approach to the Two-Channel Kondo Lattice
• Critical theory of non-Fermi liquid fixed point in multipolar Kondo problem
• Channel-selective non-Fermi liquid behavior in the two-channel Kondo lattice model under a magnetic field
• Emergent non-Fermi-liquid phenomena in multipolar quantum impurity systems
• Theory Perspective: SCES 2016
• Elastic Response in the Dilute non-Kramers System Y${}_{1-x}$Pr${}_x$Ir${}_2$Zn${}_{20}$

Cited by in corpus (6)

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• Unconventional Superconductivity arising from Multipolar Kondo Interactions
• Non-Fermi liquid behavior and quantum criticality in cubic heavy fermion systems with non-Kramers multipolar local moments
• Quantum impurity model for two-stage multipolar ordering and Fermi surface reconstruction
• Strange-metal behavior without fine-tuning in PrV2Al20
• Non-Trivial Fixed Points and Truncated SU(4) Kondo Models in a Quasi-Quartet Multipolar Quantum Impurity Problem