Shot noise in the edge states of 2D topological insulators

Abstract

We calculate the resistance and shot noise in the edge states of a 2D topological insulator that result from the exchange of electrons between these states and conducting puddles in the bulk of the insulator. The two limiting cases where the energy relaxation is either absent or very strong are considered. A finite time of spin relaxation in the puddles is introduced phenomenologically. Depending on this time and on the strength of coupling between the edge states and the puddles, the Fano factor $F=S_I/2eI$ ranges from 0 to 1/3, which is in an agreement with the available experimental data.

8 pages, 5 figures

References in corpus (9)

• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Nonlocal edge state transport in the quantum spin Hall state
• Spatially resolved study of backscattering in the quantum spin Hall state
• Renormalization group approach for the scattering off a single Rashba impurity in a helical liquid
• Helical edge states coupled to a spin bath: Current-induced magnetization
• Shot noise in a diffusive F-N-F spin valve
• Shot noise of the edge transport in the inverted band HgTe quantum wells
• Noise and current correlations in tunnel junctions of Quantum Spin Hall edge states
• Two-dimensional topological insulator edge state backscattering by dephasing

Cited by in corpus (19)

• Helical Liquids in Semiconductors
• Mesoscopic transport in two-dimensional topological insulators
• Topological protection brought to light by the time-reversal symmetry breaking
• Current noise from a magnetic moment in a helical edge
• Helical edge transport in the presence of a magnetic impurity: the role of local anisotropy
• Quantum Fluctuation of the Quantum Geometric Tensor and its Manifestation as Intrinsic Hall Signatures in Time-Reversal Invariant Systems
• Does delta-$T$ noise probe quantum statistics?
• Two-dimensional topological insulator state in double HgTe quantum well
• Probing helicity and the topological origins of helicity via non-local Hanbury-Brown and Twiss correlations
• Unrestricted electron bunching at the helical edge
• Noise insights into electronic transport
• Finite frequency backscattering current noise at a helical edge
• Noise in the helical edge channel anisotropically coupled to a local spin
• Edge States in Lateral p-n Junctions in Inverted Band HgTe Quantum Wells
• Analytical and Numerical study of the out-of-equilibrium current through a helical edge coupled to a magnetic impurity
• Localization of the Helical Edge States in the Absense of External Magnetic Field
• Sub- to Super-Poissonian crossover of current noise in helical edge states coupled to a spin impurity in a magnetic field
• AC Response of the Edge States in a Two-Dimensional Topological Insulator Coupled to a Conducting Puddle
• A non-magnetic mechanism of backscattering in helical edge states