PrBi: Topology meets quadrupolar degrees of freedom

Abstract

Novel materials incorporating electronic degrees of freedom other than charge, including spin, orbital or valley \textit{et al} have manifested themselves to be of the great interests and applicable potentials. Recently, the multipolar degrees of freedom have attracted remarkable attention in the electronic correlated effects. In this work, we systematically studied the transport, magnetic and thermodynamic properties of the topological semimetal candidate PrBi in the framework of crystalline electric field theory. Our results demonstrate the ${\Gamma }_3$ non-Kramers doublet as the ground state of Pr${}^{3+}$ (4$f^2$) ions. This ground state is nonmagnetic but carries a non-zero quadrupolar moment $⟨{\hat{O}}_2^0⟩$. A quadrupolar phase transition is inferred below 0.08 K. No obvious quadrupolar Kondo effect can be identified. Ultrahigh-field quantum oscillation measurements confirm PrBi as a semimetal with non-trivial Berry phase and low total carrier density 0.06 /f.u. We discuss the interplay between low carrier density and $4f^2$ quadrupolar moment, and ascribe the weak quadrupolar ordering and Kondo effect to consequences of the low carrier density. PrBi, thus, opens a new window to the physics of topology and strongly correlated effect with quadrupolar degrees of freedom in the low-carrier-density limit, evoking the need for a reexamination of the Nozières exhaustion problem in the context of multi-channel Kondo effect.

arXiv comment8 pages, 5 figures, 1 table

References in corpus (16)

• Titanic Magnetoresistance in WTe2
• Locally critical quantum phase transitions in strongly correlated metals
• Kondo Effects and Multipolar Order in the cubic PrTr2Al20 (Tr=Ti, V)
• Heavy Fermion Superconductivity in the Quadrupole Ordered State of PrV2Al20
• Hall effect in the extremely large magnetoresistance semimetal WTe${}_2$
• Observation of Modulated Quadrupolar Structures in PrPb3
• Simultaneous Superconducting and Antiferroquadrupolar Transitions in PrRh${}_2$Zn${}_{20}$
• Presence of Exotic Electronic Surface States in LaBi and LaSb
• Ferro-quadrupolar ordering in PrTi${}_2$Al${}_{20}$
• Observation of topological transition of Fermi surface from a spindle-torus to a torus in large bulk Rashba spin-split BiTeCl
• Ultrafast Carrier Dynamics in the Large Magnetoresistance Material WTe${}_2$
• Slow crossover in YbXCu4 intermediate valence compounds
• Extreme magnetoresistance in the topologically trivial lanthanum monopnictide LaAs
• Pressure-tuned quantum criticality in the antiferromagnetic Kondo semi-metal CeNi${}_{2-\delta }$As${}_2$
• Fermi surface topology and large magnetoresistance in the topological semimetal candidate PrBi
• Probing the Origin of Extreme Magnetoresistance in Pr/Sm Mono-Antimonides/Bismuthides

Cited by in corpus (4)

• Field-Induced Lifshitz Transition in the Magnetic Weyl Semimetal Candidate PrAlSi
• Multipolar superconductivity in Luttinger semimetals
• Temperature-dependent Fermi surface probed by Shubnikov-de Haas oscillations in topological semimetal candidates DyBi and HoBi
• Ultrasonic investigation of the Kondo semimetal CeBi