Quantum oscillations and Berry's phase in topological insulator surface states with broken particle-hole symmetry

Abstract

Quantum oscillations can be used to determine properties of the Fermi surface of metals by varying the magnitude and orientation of an external magnetic field. Topological insulator surface states are an unusual mix of normal and Dirac fermions. Unlike in graphene and simple metals, Berry's geometric phase in topological insulator surface states is not necessarily quantised. We show that reliably extracting this geometric phase from the phase offset associated with the quantum oscillations is subtle. This is especially so in the presence of a Dirac gap such as that associated with the Zeeman splitting or interlayer tunneling. We develop a semi-classical theory for general mixed normal-Dirac systems in the presence of a gap, and in doing so clarify the role of topology and broken particle-hole symmetry. We propose a systematic procedure of fitting Landau level index plots at large filling factors to reliably extract the phase offset associated with Berry's phase.

12 pages, 6 figures. Included effect of bulk Fermi surface

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• Linear magnetoresistance caused by mobility fluctuations in the n-doped Cd3As2
• Consequences of breaking time reversal symmetry in LaSb: a resistivity plateau and extreme magnetoresistance
• Quantum oscillations in Kondo Insulator SmB${}_6$
• Quantum Oscillation from In-gap States and non-Hermitian Landau Level Problem
• Pressure-induced Lifshitz transition in black phosphorus
• Observation of the quantum Hall effect in confined films of the three-dimensional Dirac semimetal Cd3As2
• Topological Surface Transport in Epitaxial SnTe Thin Films Grown on Bi2Te3
• Quantum transport evidence of Weyl fermions in an epitaxial ferromagnetic oxide
• Hall quantization and optical conductivity evolution with variable Berry phase in $\alpha$-$T_3$ model
• Direct observation of Landau level resonance and mass generation in Dirac semimetal Cd3As2 thin films
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• ARPES and transport studies of the elemental topological insulator $\alpha$-Sn
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• Measure of Diracness in two-dimensional semiconductors
• Experimental evidence for topological surface states wrapping around bulk SnTe crystal
• Evidence for topological surface states in metallic single crystals of Bi2Te3
• Thermodynamic signatures for the existence of Dirac electrons in ZrTe5
• High-magnetic-field Tunneling Spectra of ABC-Stacked Trilayer Graphene
• Hexagonal warping on spin texture, Hall conductivity and circular dichroism of Topological Insulator
• Growth and Magnetotransport in Thin Film α-Sn on CdTe
• Theory of magnetic oscillations in Weyl semimetals
• Landau levels, response functions and magnetic oscillations from a generalized Onsager relation
• Towards the manipulation of topological states of matter: A perspective from electron transport
• Magnetotransport in Sr3PbO antiperovskite with three-dimensional massive Dirac electrons
• Magnon-induced superconductivity in a topological insulator coupled to ferro- and antiferromagnetic insulators
• Magnetic Properties of Dirac Fermions in a Buckled Honeycomb Lattice
• Evidence for pressure-induced node-pair annihilation in Cd3As2
• Magnetic susceptibility of topological semimetals
• Simple mechanisms that impede the Berry phase identification from magneto-oscillations
• Particle-hole asymmetry on Hall conductivity of a topological insulator
• Evidence of non-trivial Berry phase and Kondo physics in SmBi
• Particle-Hole Asymmetry in Gapped Topological Insulator Surface States
• Interaction-induced quantum spin Hall insulator in the organic Dirac electron system $\alpha$-(BEDT-TSeF)${}_2$I${}_3$
• Spatially resolved Landau level spectroscopy of the topological Dirac cone of bulk-type Sb2Te3(0001): potential fluctuations and quasiparticle lifetime
• Aperiodic quantum oscillations of particle-hole asymmetric Dirac cones
• Effects of a tilted magnetic field in a Dirac double layer
• Quantum oscillations of the topological surface states in low carrier concentration crystals of Bi${}_{2-x}$Sb${}_x$Te${}_{3-y}$Se${}_y$
• Nontrivial topology of bulk HgSe from the study of cyclotron effective mass, electron mobility and phase shift of Shubnikov-de Haas oscillations
• Phase Slips and Parity Jumps in Quantum Oscillations of Inverted InAs/GaSb Quantum Wells
• Dirac fermions in graphene and analogues: magnetic field and topological properties
• Magnetization of the Metallic Surface States in Topological Insulators
• Effect of electronic band dispersion curvature on de Haas-van Alphen oscillations
• Dielectric screening of surface states in a topological insulator
• Measuring the Chern number with quantum oscillations
• De Haas-van Alphen oscillations near the Lifshitz transition from two electron pockets to one electron pocket in the two-dimensional Dirac fermion systems
• Magnetizations and de Haas-van Alphen oscillations in massive Dirac fermions
• Semiclassical Landau quantization of spin-orbit coupled systems
• Cyclotron Resonance in Topological Insulators: Non-Relativistic Effects
• Spin mixing between subbands and extraordinary Landau levels shift in wide HgTe quantum wells
• Diagnosing a strong topological insulator by quantum oscillations
• Is it possible to determine unambiguously the Berry phase solely from quantum oscillations?
• Elemental topological Dirac semimetal α-Sn with high quantum mobility
• Fermi surface and Berry phase analysis for Dirac nodal line semimetals: cautionary tale to SrGa${}_2$ and BaGa${}_2$
• Transmission and tunneling probability in two-band metals: influence of magnetic breakdown on the Onsager phase of quantum oscillations