Aharonov-Bohm Effect in Three-dimensional Higher-order Topological Insulator

Abstract

Hinge states are the hallmark of the 3D higher-order topological insulator(HOTI). Here, we show that chiral hinge states can be identified by the magnetic field induced Aharonov-Bohm(AB) oscillation of the electron conductance in the interferometer constructed by HOTI and normal metal. Unlike AB interferometer of 3D topological insulator(TI), we find that there are different AB oscillation frequencies for a given direction of magnetic field in 3D HOTI. And the oscillation frequencies are also strongly depending on the direction of magnetic field. The main conclusion in our work is that there exists a universal linear relation between different oscillation frequencies. Here, by constructing an interference model of hinge states loops, we show both analytically and numerically that the linear relation is fulfilled in the HOTI effective model. The four basic frequencies in the work are labeled as ${\omega }_x$, ${\omega }_y$, ${\omega }_{x+y}$, ${\omega }_{x-y}$ and the main linear relations we demonstrate here are ${\omega }_{x\pm y}={\omega }_x\pm {\omega }_y$. These results provide an effective way for the identification of the chiral hinge states, and the oscillation signatures are stable with different sample size and bias.

References in corpus (44)

• Topological Insulators
• Topological insulators and superconductors
• Quantized Electric Multipole Insulators
• Higher-Order Topological Insulators
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Kwant: a software package for quantum transport
• $(d-2)$-dimensional edge states of rotation symmetry protected topological states
• Reflection symmetric second-order topological insulators and superconductors
• Higher-Order Topology in Bismuth
• Aharonov-Bohm interference in topological insulator nanoribbons
• An Electronic Mach-Zehnder Interferometer
• Higher-order topological insulators and superconductors protected by inversion symmetry
• Direct observation of anyonic braiding statistics at the $\nu$=1/3 fractional quantum Hall state
• Majorana corner modes in a high-temperature platform
• Higher-Order Topological Insulator in Twisted Bilayer Graphene
• Aharonov-Bohm oscillations in disordered topological insulator nanowires
• Higher Order Topological Phases: A General Principle of Construction
• An anomalous higher-order topological insulator
• Anomalous Aharonov-Bohm conductance oscillations from topological insulator surface states
• Aharonov-Bohm oscillations in Dirac semimetal Cd3As2 nanowires
• Theory of the Fabry-Perot Quantum Hall Interferometer
• Non-equilibrium Green s function based model for dephasing in quantum transport
• The Role of Interactions in an Electronic Fabry-Perot Interferometer Operating in the Quantum Hall Effect Regime
• Higher-order topological odd-parity superconductors
• Magnetic field-tuned Aharonov-Bohm oscillations and evidence for non-Abelian anyons at v=5/2
• Aharonov-Bohm interference of fractional quantum Hall edge modes
• Edge-State Velocity and Coherence in a Quantum Hall Fabry-Perot Interferometer
• Majorana corner and hinge modes in second-order topological insulator-superconductor heterostructures
• Higher-Order Topological Dirac Superconductors
• An Electronic Quantum Eraser
• Scattering theory of chiral Majorana fermion interferometry
• Gate-tuned Aharonov-Bohm interference of surface states in a quasi-ballistic Dirac semimetal nanowire
• Magnetoconductance oscillations in quasiballistic multimode nanowires
• Aharanov-Bohm interference and fractional statistics in a quantum Hall interferometer
• Fingerprints of Majorana bound states in Aharonov Bohm geometry
• Higher-order Fabry-Pérot Interferometer from Topological Hinge States
• Anomalous interference in Aharonov-Bohm rings with two Majorana bound states
• Time-reversal-invariant $C_2$-symmetric higher-order topological superconductors
• Non-equilibrium Green's function study of magneto-conductance features and oscillations in clean and disordered nanowires
• Magnetoconductance signatures of subband structure in semiconductor nanowires
• Perfect transmission and Aharanov-Bohm oscillations in topological insulator nanowires with nonuniform cross section
• Aharonov-Bohm interference as a probe of Majorana fermions
• Aharonov-Bohm Oscillations in Singly-Connected Disordered Conductors
• Second-order topological insulator under strong magnetic field: Landau levels, Zeeman effect, and magnetotransport

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