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 (13)

• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• $(d-2)$-dimensional edge states of rotation symmetry protected topological states
• Reflection symmetric second-order topological insulators and superconductors
• Aharonov-Bohm oscillations in disordered topological insulator nanowires
• Anomalous Aharonov-Bohm conductance oscillations from topological insulator surface states
• Non-equilibrium Green s function based model for dephasing in quantum transport
• Aharonov-Bohm interference of fractional quantum Hall edge modes
• Edge-State Velocity and Coherence in a Quantum Hall Fabry-Perot Interferometer
• Scattering theory of chiral Majorana fermion interferometry
• Gate-tuned Aharonov-Bohm interference of surface states in a quasi-ballistic Dirac semimetal nanowire
• Aharanov-Bohm interference and fractional statistics in a quantum Hall interferometer
• Higher-order Fabry-Pérot Interferometer from Topological Hinge States
• Aharonov-Bohm Oscillations in Singly-Connected Disordered Conductors

Cited by in corpus (3)

• Higher-order topological superconductors based on weak topological insulators
• Hinge States of Second-Order Topological Insulators as a Mach-Zehnder Interferometer
• Magnetic-flux tunable electronic transport through domain walls in a three-dimensional second-order topological insulator