Magnetic AC control of the spin textures in a helical Luttinger liquid

Abstract

We demonstrate the possibility to induce and control peculiar spin textures in a helical Luttinger liquid, by means of a time-dependent magnetic scatterer. The presence of a perturbation that breaks the time-reversal symmetry opens a gap in the spectrum, inducing single-particle backscattering and a peculiar spin response. We show that in the weak backscattering regime asymmetric spin textures emerge at the left and right side of the scatterer, whose spatial oscillations are controlled by the ratio between the magnetization frequency and the Fermi energy and by the electron interaction. This peculiar spin response marks a strong difference between helical and non-helical liquids, which are expected to produce symmetric spin textures even in the AC regime.

7 pages, 4 figures

References in corpus (21)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Nonlocal edge state transport in the quantum spin Hall state
• The Quantum Spin Hall Effect: Theory and Experiment
• The Helical Liquid and the Edge of Quantum Spin Hall Systems
• Kondo effect in the helical edge liquid of the quantum spin Hall state
• Spin-selective Peierls transition in interacting one-dimensional conductors with spin-orbit interaction
• Conductance of a helical edge liquid coupled to a magnetic impurity
• Full electrical control of Charge and Spin conductance through Interferometry of Edge States in Topological Insulators
• Microwave-driven ferromagnet--topological-insulator heterostructures: The prospect for giant spin battery effect and quantized charge pump devices
• Helical edge states coupled to a spin bath: Current-induced magnetization
• Devices with electrically tunable topological insulating phases
• Generating and controlling spin-polarized currents induced by a quantum spin Hall antidot
• Electronic Hong-Ou-Mandel interferometry in two-dimensional topological insulators
• Exact results for the Kondo screening cloud of two helical liquids
• Sub-Poissonian phononic population in a nanoelectromechanical system
• Transport properties of a Luttinger liquid in the presence of several time-dependent impurities
• Interaction-induced beats of Friedel oscillations in quantum wires
• Spin current in an electron waveguide tunnel-coupled to topological insulator

Cited by in corpus (10)

• Photoexcitation of electron wave packets in quantum spin Hall edge states: effects of chiral anomaly from a localised electric pulse
• Fluctuation dissipation relations for strongly correlated out-of-equilibrium circuits
• Correlation functions for the detection of Wigner molecules in a one-channel Luttinger liquid quantum dot
• Charge and energy fractionalization mechanism in one-dimensional channels
• Transient dynamics of spin-polarized injection in helical Luttinger liquids
• Interplay between Rashba interaction and electromagnetic field in the edge states of a 2D topological insulator
• Effects of disorder on electron tunneling through helical edge states
• Photoexcitation in two-dimensional topological insulators: Generating and controlling electron wavepackets in Quantum Spin Hall systems
• Transport through a quantum spin Hall antidot as a spectroscopic probe of spin textures
• Confinement versus interface bound states in spin-orbit coupled nanowires