Magnetic field induced localization in 2D topological insulators

Abstract

Localization of the helical edge states in quantum spin Hall insulators requires breaking time reversal invariance. In experiments this is naturally implemented by applying a weak magnetic field B. We propse a model based on scattering theory that describes the localization of helical edge states due to coupling to random magnetic fluxes. We find that the localization length is proportional to B^{2} when B is small, and saturates to a constant when B is sufficiently large. We estimate especially the localization length for the HgTe/CdTe quantum wells with known experimental parameters.

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Cited by in corpus (41)

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• Proposal for the detection and braiding of Majorana fermions in a quantum spin Hall insulator
• Effects of nuclear spins on the transport properties of the edge of two-dimensional topological insulators
• Backscattering Between Helical Edge States via Dynamic Nuclear Polarization
• Nonlocal resistance and its fluctuations in microstructures of band-inverted HgTe/(Hg,Cd)Te quantum wells
• Two-dimensional topological insulator state in cadmium arsenide thin films
• Helical Liquids in Semiconductors
• Emission of time-bin entangled particles into helical edge states
• Hyperfine interactions in two-dimensional HgTe topological insulators
• Electronic Hong-Ou-Mandel interferometry in two-dimensional topological insulators
• Nanomagnet coupled to quantum spin Hall edge: An adiabatic quantum motor
• Topological protection brought to light by the time-reversal symmetry breaking
• Quantum interference in topological insulator Josephson junctions
• Disorder and magnetic-field induced breakdown of helical edge conduction in an inverted electron-hole bilayer
• Z2 peak of noise correlations in a quantum spin Hall insulator
• Transport phenomena in helical edge states interferometers. A Green's function approach
• Electronic quantum optics beyond the integer quantum Hall effect
• Magnetotransport in disordered two-dimensional topological insulators: signatures of charge puddles
• Aharonov Bohm effect in 2D topological insulator
• A Topological SQUIPT based on helical edge states in proximity to superconductors
• Point contacts and localization in generic helical liquids
• Quantitative theory of backscattering in topological HgTe and (Hg,Mn)Te quantum wells: acceptor states, Kondo effect, precessional dephasing, and bound magnetic polaron
• Are quantum spin Hall edge modes more resilient to disorder, sample geometry and inelastic scattering than quantum Hall edge modes?
• Effects of disorder on electron tunneling through helical edge states
• Spin and charge transport through helical Aharonov-Bohm interferometer with strong magnetic impurity
• Tunneling Aharonov-Bohm interferometer on helical edge states
• Localization of trivial edge states in InAs/GaSb composite quantum wells
• Localization of the Helical Edge States in the Absense of External Magnetic Field
• Emission of entangled Kramers pairs from a helical mesoscopic capacitor
• Opportunities for the direct manipulation of a phase-driven Andreev spin qubit
• Tunable helical crystals
• Hybrid-Order Topological Phase And Transition in 1H Transition Metal Compounds
• Effective Hamiltonian of topologically protected qubit in a helical crystal
• Unconventional quantized edge transport in the presence of inter-edge coupling in intercalated graphene
• A non-magnetic mechanism of backscattering in helical edge states
• Disordered contacts can localize helical edge electrons
• Disordered contacts can localize chiral edge electrons