Levitons in helical liquids with Rashba spin-orbit coupling probed by a superconducting contact
arXiv:1911.03697 · doi:10.1103/PhysRevResearch.2.013203
Abstract
We consider transport properties of a single edge of a two-dimensional topological insulators, in presence of Rashba spin-orbit coupling, driven by two external time-dependent voltages and connected to a thin superconductor. We focus on the case of a train of Lorentzian-shaped pulses, which are known to generate coherent single-electron excitations in two-dimensional electron gas, and prove that they are minimal excitations for charge transport also in helical edge states, even in the presence of spin-orbit interaction. Importantly, these properties of Lorentzian-shaped pulses can be tested computing charge noise generated by the scattering of particles at the thin superconductor. This represents a novel setup where electron quantum optics experiments with helical states can be implemented, with the superconducting contact as an effective beamsplitter. By elaborating on this configuration, we also evaluate charge noise in a collisional Hong-Ou-Mandel configuration, showing that, due to the peculiar effects induced by Rashba interaction, a non-vanishing dip at zero delay appears.
16 pages, 5 figures
References in corpus (27)
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Nonlocal edge state transport in the quantum spin Hall state
- The Helical Liquid and the Edge of Quantum Spin Hall Systems
- Electrically detected interferometry of Majorana fermions in a topological insulator
- An On-Demand Coherent Single Electron Source
- Coherence and Indistinguishability of Single Electrons Emitted by Independent Sources
- Minimal excitation states of electrons in one-dimensional wires
- Spin-selective Peierls transition in interacting one-dimensional conductors with spin-orbit interaction
- Transition from fractional to Majorana fermions in Rashba nanowires
- Edge Dynamics in a Quantum Spin Hall State: Effects from Rashba Spin-Orbit Interaction
- Hong-Ou-Mandel experiment for temporal investigation of single electron fractionalization
- Conductivity of a generic helical liquid
- Electron quantum optics in quantum Hall edge channels
- Giant spin orbit interaction due to rotating magnetic fields in graphene nanoribbons
- Renormalization group approach for the scattering off a single Rashba impurity in a helical liquid
- Fermionic and Majorana Bound States in Hybrid Nanowires with Non-Uniform Spin-Orbit Interaction
- Electron and hole Hong-Ou-Mandel interferometry
- Decoherence and relaxation of a single electron in a one dimensional conductor
- Tunneling between helical edge states through extended contacts
- Topological phases in gated bilayer graphene: Effects of Rashba spin-orbit coupling and exchange field
- Electrical manipulation and measurement of spin properties of quantum spin Hall edge states
- Photoexcitation of electron wave packets in quantum spin Hall edge states: effects of chiral anomaly from a localised electric pulse
- Polarized heat current generated by quantum pumping in two-dimensional topological insulators
- Coulomb and exchange interaction effects on the exact two-electron dynamics in the Hong-Ou-Mandel interferometer based on Hall edge states
- Single-particle shot noise at non-zero temperature
- Interplay between Rashba interaction and electromagnetic field in the edge states of a 2D topological insulator