Finite frequency backscattering current noise at a helical edge
arXiv:2007.08245 · doi:10.1103/PhysRevB.102.125309
Abstract
Magnetic impurities with sufficient anisotropy could account for the observed strong deviation of the edge conductance of 2D topological insulators from the anticipated quantized value. In this work we consider such a helical edge coupled to dilute impurities with an arbitrary spin and a general form of the exchange matrix. We calculate the backscattering current noise at finite frequencies as a function of the temperature and applied voltage bias. We find that in addition to the Lorentzian resonance at zero frequency, the backscattering current noise features Fano-type resonances at non-zero frequencies. The widths of the resonances are controlled by the spectrum of corresponding Korringa rates. At a fixed frequency the backscattering current noise has non-monotonic behaviour as a function of the bias voltage.
12 LaTeX pages, 4 figures
References in corpus (20)
- 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
- Observation of the Quantum Spin Hall Effect up to 100 Kelvin in a Monolayer Crystal
- The Quantum Spin Hall Effect: Theory and Experiment
- Kondo effect in the helical edge liquid of the quantum spin Hall state
- Counting Statistics of Non-Markovian Quantum Stochastic Processes
- Helical edge and surface states in HgTe quantum wells and bulk insulators
- Conductance of a helical edge liquid coupled to a magnetic impurity
- Resistance of helical edges formed in a semiconductor heterostructure
- Scattering matrix approach to the description of quantum electron transport
- Conductivity of a generic helical liquid
- Non-equilibrium Entanglement and Noise in Coupled Qubits
- Persistence of two-dimensional topological insulator state in wide HgTe quantum well
- Spontaneous breakdown of topological protection in two dimensions
- Edge transport in InAs and InAs/GaSb quantum wells
- Low-Temperature Conductivity of Weakly Interacting Quantum Spin Hall Edges in Strained-Layer InAs/GaInSb
- Current noise from a magnetic moment in a helical edge
- Comment on "Noise in the helical edge channel anisotropically coupled to a local spin"
- Reply to comment on "Noise in the helical edge channel anisotropically coupled to a local spin"