Berry phase of non-ideal Dirac fermions in topological insulators

Abstract

A distinguishing feature of Dirac fermions is the Berry phase of $\pi$ associated with their cyclotron motions. Since this Berry phase can be experimentally assessed by analyzing the Landau-level fan diagram of the Shubnikov-de Haas (SdH) oscillations, such an analysis is widely employed in recent transport studies of topological insulators to elucidate the Dirac nature of the surface states. However, the reported results have usually been unconvincing. Here we show a general scheme for describing the phase factor of the SdH oscillations in realistic surface states of topological insulators, and demonstrate how one could elucidate the Dirac nature in the real experimental data.

6 pages, 5 figures, extended version to include analysis of the data from other groups

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• Direct observation of Landau level resonance and mass generation in Dirac semimetal Cd3As2 thin films
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• Topological Phase Transition and Chiral-Anomaly Driven Negative Magneto-Resistance in Bulk Black Phosphorus
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• Phonon mode calculations and Raman spectroscopy of the bulk-insulating topological insulator BiSbTeSe${}_2$
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• Terahertz Quantum Hall Effect in a Topological Insulator
• Large-Area and Transferred High-Quality Three-Dimensional Topological Insulator Bi2-xSbxTe3-ySey Ultrathin Film by Catalyst-Free Physical Vapor Deposition
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• Galvanomagnetic properties of the putative type-II Dirac semimetal PtTe${}_2$
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• Tuning insulator-semimetal transitions in 3D topological insulator thin films by inter-surface hybridization and in-plane magnetic fields
• Evidence for topological surface states in metallic single crystals of Bi2Te3
• Topological insulators based on HgTe
• Mass acquisition of Dirac fermions in Cr-doped topological insulator Sb2Te3 films
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• Towards the manipulation of topological states of matter: A perspective from electron transport
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• Quantum Transport and Potential of Topological States for Thermoelectricity in Bi${}_2$Te${}_3$ Thin Films
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