Fractional charge oscillations in quantum spin Hall quantum dots

Abstract

We show that correlated two-particle backscattering can induce fractional charge oscillations in a quantum dot built at the edge of a two-dimensional topological insulator by means of magnetic barriers. The result nicely complements recent works where the fractional oscillations were obtained employing of semiclassical treatments. Moreover, since by rotating the magnetization of the barriers a fractional charge can be trapped in the dot via the Jackiw-Rebbi mechanism, the system we analyze offers the opportunity to study the interplay between this noninteracting charge fractionalization and the fractionalization due to two-particle backscattering. In this context, we demonstrate that the number of fractional oscillations of the charge density depends on the magnetization angle. Finally, we address the renormalization induced by two-particle backscattering on the spin density, which is characterized by a dominant oscillation, sensitive to the Jackiw-Rebbi charge, with a wavelength twice as large as the charge density oscillations.

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Cited by in corpus (15)

• Decaying spectral oscillations in a Majorana wire with finite coherence length
• Conductance signatures of odd-frequency superconductivity in quantum spin Hall systems using a quantum point contact
• Coupled-wire constructions: a Luttinger liquid approach to topology
• Anomalous supercurrent and diode effect in locally perturbed topological Josephson junctions
• Emerging topological bound states in Haldane model zigzag nanoribbons
• Spin-resolved electron waiting times in a quantum dot spin valve
• Bosonization for fermions and parafermions
• The invisible Majorana bound state at the helical edge
• Universal scaling of quench-induced correlations in a one-dimensional channel at finite temperature
• Charging a Dimerized Quantum XY Chain
• Effects of the Vertices on the Topological Bound States in a Quasicrystalline Topological Insulator
• Anomalous flux periodicity in proximitised quantum spin Hall constrictions
• Few-body precursors of topological frustration
• Detection of fractional solitons in quantum spin Hall systems
• Effective metal-insulator non-equilibrium quantum phase transition