Non-linear ballistic response of quantum spin-Hall edge states

Abstract

Topological edge states exhibit dissipationless transport and electrically-driven topological phase transitions, making them ideal for next-generation transistors that are not constrained by Moore's law. Nevertheless, their dispersion has never been probed and is often assumed to be simply linear, without any rigorous justification. Here we determine the non-linear electrical response of topological edge states in the ballistic regime and demonstrate the way this response ascertains the presence of symmetry breaking terms in the edge dispersion, such as deviations from non-linearity and tilted spin quantization axes. The non-linear response stems from discontinuities in the band occupation on either side of a Zeeman gap, and its direction is set by the spin orientation with respect to the Zeeman field. We determine the edge dispersion for several classes of topological materials and discuss experimental measurement.

arXiv comment8 pages, 4 figures

References in corpus (44)

• Topological Insulators
• Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi
• Topological Materials: Weyl Semimetals
• Quantum Transport in Semiconductor Nanostructures
• Graphene field effect transistors as room-temperature Terahertz detectors
• Evidence for Helical Edge Modes in Inverted InAs/GaSb Quantum Wells
• Model Hamiltonian for Topological Insulators
• Hexagonal Warping Effects in the Surface States of Topological Insulator Bi${}_2$Te${}_3$
• Edge conduction in monolayer WTe2
• Observation of Quantum Spin Hall States in InAs/GaSb Bilayers under Broken Time-Reversal Symmetry
• Electric Field-Tuned Topological Phase Transition in Ultra-Thin Na3Bi - Towards a Topological Transistor
• Gauge invariant nonlinear electric transport in mesoscopic conductors
• On Landauer vs. Boltzmann and Full Band vs. Effective Mass Evaluation of Thermoelectric Transport Coefficients
• Zero-field dissipationless chiral edge transport and the nature of dissipation in the quantum anomalous Hall state
• Magnetic-field asymmetry of nonlinear mesoscopic transport
• Strain-induced Isostructural and Magnetic Phase Transitions in Monolayer MoN${}_2$
• Observation of a Helical Luttinger-Liquid in InAs/GaSb Quantum Spin Hall Edges
• Symmetry of two terminal, non-linear electric conduction
• Antiferromagnetic Spin Wave Field-Effect Transistor
• Intrinsic Spin Hall Edges
• Inter-band Coherence Response to Electric Fields in Crystals
• Symmetry, spin-texture, and tunable quantum geometry in a WTe${}_2$ monolayer
• Nonlinear anomalous photocurrents in Weyl semimetals
• Quantum Kinetic Theory of the Chiral Anomaly
• Atomically Thin Quantum Spin Hall Insulators
• Magnetic field effects on edge and bulk states in topological insulators based on HgTe/CdHgTe quantum wells with strong natural interface inversion asymmetry
• Spin-polarized current amplification and spin injection in magnetic bipolar transistors
• Experimental realization of a silicon spin field-effect transistor
• Edge State Transport in Floquet Topological Insulators
• Probing quantum criticality using nonlinear Hall effect in a metallic Dirac system
• Mesoscopic fluctuations of conductance of a helical edge contaminated by magnetic impurities
• Surface and Edge States in Topological Semi-metals
• Nonreciprocal current from electron interactions in noncentrosymmetric crystals: roles of time reversal symmetry and dissipation
• Topological metals induced by Zeeman effect
• Probing topological transitions in HgTe/CdTe quantum wells by magneto-optical measurements
• Rectification and nonlinear transport in chaotic dots and rings
• Dynamics of edge current in a linearly quenched Haldane model
• Current-induced spin torques in III-V ferromagnetic semiconductors
• Geometrical phase effects on the Wigner distribution of Bloch electrons
• Coulomb screening in mesoscopic noise: a kinetic approach
• Non-linear conductance in mesoscopic weakly disordered wires -- Interaction and magnetic field asymmetry
• Cooperative orbital moments and edge magnetoresistance in monolayer WTe${}_2$
• Resonant high harmonic generation in a ballistic graphene transistor with an AC driven gate
• Mesoscopic Transport: The Electron-Gas Sum Rules in a Driven Quantum Point Contact

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• Quantum Kinetic Theory of Nonlinear Optical Currents: Finite Fermi surface and Fermi sea contributions
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• Quantum spin Hall effect protected by spin U(1) quasisymmetry
• Topological Electromagnetic Effects and Higher Second Chern Numbers in Four-Dimensional Gapped Phases
• Second Harmonic Helicity and Faraday Rotation in Gated Single-Layer 1T${}^{\prime }$-WTe${}_2$
• Light-induced Nonlinear Spin Hall Current in Single-layer WTe${}_2$
• Nonlinear edge transport in a quantum Hall system