Transport through a quantum spin Hall quantum dot

Abstract

Quantum spin Hall insulators, recently realized in HgTe/(Hg,Cd)Te quantum wells, support topologically protected, linearly dispersing edge states with spin-momentum locking. A local magnetic exchange field can open a gap for the edge states. A quantum-dot structure consisting of two such magnetic tunneling barriers is proposed and the charge transport through this device is analyzed. The effects of a finite bias voltage beyond linear response, of a gate voltage, and of the charging energy in the quantum dot are studied within a combination of Green-function and master-equation approaches. Among other results, a partial recurrence of non-interacting behavior is found for strong interactions, and the possibility of controlling the edge magnetization by a locally applied gate voltage is proposed.

12 pages, 7 figures

References in corpus (10)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Classification of topological insulators and superconductors in three spatial dimensions
• Dissipationless Quantum Spin Current at Room Temperature
• The Quantum Spin Hall Effect: Theory and Experiment
• The Helical Liquid and the Edge of Quantum Spin Hall Systems
• Kinetic Equations for Transport Through Single-Molecule Transistors
• Tunneling through nanosystems: Combining broadening with many-particle states
• Correlation effects on resonant tunneling in one-dimensional quantum wires
• Electrical manipulation and measurement of spin properties of quantum spin Hall edge states

Cited by in corpus (32)

• Interacting topological insulators: a review
• Giant magnetoresistance and perfect spin filter in silicene, germanene, and stanene
• Decaying spectral oscillations in a Majorana wire with finite coherence length
• Magnetically Defined Qubits on 3D Topological Insulators
• Spin-helical transport in normal and superconducting topological insulators
• Proposal for the detection and braiding of Majorana fermions in a quantum spin Hall insulator
• Conductance signatures of odd-frequency superconductivity in quantum spin Hall systems using a quantum point contact
• Testing Topological Protection of Edge States in Hexagonal Quantum Spin Hall Candidate Materials
• Tunable hybridization of Majorana bound states at the quantum spin Hall edge
• Generating and controlling spin-polarized currents induced by a quantum spin Hall antidot
• Coulomb blockade microscopy of spin density oscillations and fractional charge in quantum spin Hall dots
• ${\mathbb{Z}}_4$ parafermions in weakly interacting superconducting constrictions at the helical edge of quantum spin Hall insulators
• Nonlinear spin-thermoelectric transport in two-dimensional topological insulators
• The chiral anomaly in real space
• From fractional solitons to Majorana fermions in a paradigmatic model of topological superconductivity
• Spin textures of strongly correlated spin Hall quantum dots
• Correlation functions for the detection of Wigner molecules in a one-channel Luttinger liquid quantum dot
• Spin-resolved electron waiting times in a quantum dot spin valve
• Magnetic AC control of the spin textures in a helical Luttinger liquid
• Exact Boundary Modes in an Interacting Quantum Wire
• Quantum phase transitions of topological insulators without gap closing
• Parity dependent Josephson current through a helical Luttinger liquid
• Confining electrons on a topological insulator surface using potentials and a magnetic field
• The invisible Majorana bound state at the helical edge
• Regular and irregular dynamics of Dirac-Weyl wavepackets in a mesoscopic quantum dot at the edge of topological insulator
• A complementary screening for quantum spin Hall insulators in 2D exfoliable materials
• Spin Berry phase in a helical edge state: Sz nonconservation and transport signatures
• Backscattering off a driven Rashba impurity at the helical edge
• Formation of bound states from the edge states of 2D topological insulator by macroscopic magnetic barriers
• Assessing bound states in a one-dimensional topological superconductor: Majorana versus Tamm
• Gate-Tunable Resonances and 1D Channel in a Graphene Nanoslide
• Detection of fractional solitons in quantum spin Hall systems