Quantum oscillations in strongly correlated topological Kondo insulators

Abstract

The observation of quantum oscillations in topological Kondo insulators SmB6 and YbB12 is a recent puzzling experimental discovery. Quantum oscillations observed in the resistivity and the magnetization are usually explained by the existence of the Fermi surface. However, Kondo insulators do not have a Fermi surface and thus should not show quantum oscillations. By performing dynamical mean-field calculations for topologically nontrivial Kondo insulators in a magnetic field, we analyze the effect of correlations on the emergence of quantum oscillations in narrow-gap topological Kondo insulators and demonstrate that the interplay between correlations and nonlocal hybridization, ubiquitously occurring in topological Kondo insulators, can lead to observable quantum oscillations without the necessity of a Fermi surface. Particularly, we show that correlations make it easier to observe quantum oscillations in the magnetization and the resistivity of the bulk material. The fundamental mechanism for these quantum oscillations is a combination of correlation effects and Landau levels coming very close to the Fermi energy. We furthermore demonstrate that quantum oscillations in a three-dimensional system can be understood by analyzing the physics on the two-dimensional planes in the momentum space for which the hybridization in direction of the magnetic field vanishes. We believe that this scenario is relevant to understanding the observation of quantum oscillations in the magnetic torque for SmB6 as well as oscillations in the resistivity and the magnetic torque of YbB12.

13 pages

References in corpus (16)

• Topological Insulators with Inversion Symmetry
• The numerical renormalization group method for quantum impurity systems
• Correlated Topological Insulators with Mixed Valence
• A Numerical Renormalization Group approach to Green's Functions for Quantum Impurity Models
• Quantum Oscillation from In-gap States and non-Hermitian Landau Level Problem
• Simplified topological invariants for interacting insulators
• Quantum Oscillations of Electrical Resistivity in an Insulator
• Fermi surface in the absence of a Fermi liquid in the Kondo insulator SmB${}_6$
• Excitons in topological Kondo insulators - theory of thermodynamic and transport anomalies in SmB${}_6$
• Metallic phase in the two-dimensional ionic Hubbard model
• Fermi surfaces in Kondo insulators
• Correlations in a band insulator
• Quantum Oscillations from Fermi Sea
• Magnetic states in a three-dimensional topological Kondo insulator
• Unusual Frequency of Quantum Oscillations in Strongly Particle-Hole Asymmetric Insulators
• Anomalies in a slightly doped insulator with strong particle-hole asymmetry and narrow gap---the case for SmB${}_6$?

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• Hall anomaly, Quantum Oscillations and Possible Lifshitz Transitions in Kondo Insulator YbB${}_{12}$: Evidence for Unconventional Charge Transport
• Magnetic impurities in Kondo insulators: An application to samarium hexaboride
• Enhanced quantum oscillations in Kondo insulators
• Two relativistic Kondo effects: Classification with particle and antiparticle impurities
• Shadow surface states in topological Kondo insulators
• Surface exceptional points in a topological Kondo insulator
• Cyclotron resonance in Kondo insulator
• Fluctuation-dominated quantum oscillations in excitonic insulators
• Quantum Oscillations in an Impurity-Band Anderson Insulator
• Effect of many-body interaction on de Haas-van Alphen oscillations in insulators
• Low-energy excitations and transport functions of the one-dimensional Kondo insulator
• Tunable non-Lifshitz-Kosevich temperature dependence of Shubnikov-de Haas oscillation amplitudes in SmSb
• Robust hybridization gap in a Kondo Insulator YbB${}_{12}$ probed by femtosecond optical spectroscopy
• A Mean-Field Study of Quantum Oscillations in Two-Dimensional Kondo Insulators
• Low-temperature theory of inversion and quantum oscillations in Kondo insulators
• Valence transition in topological Kondo insulator
• Magnetic-field effect on excitonic condensation emergent in extended Falicov-Kimball model
• Theoretical investigation of quantum oscillations of specific heat in Kondo insulators