Crystallization of fractional charges in a strongly interacting quasi-helical quantum dot

Abstract

The ground-state electron density of a one-dimensional spin-orbit coupled quantum dot with a Zeeman term and strong electron interaction is studied at the fractional helical liquid points. We show that at fractional filling factors $\nu =(2n+1{)}^{-1}$ (with $n$ a non-negative integer) the density oscillates with $N_0/\nu$ peak. For $n\ge 1$ a number of peaks larger than the number of electrons $N_0$ suggests that a crystal of fractional quasi-particles with charge $\nu e$ (with $e$ the electron charge) occurs. The reported effect is amenable of verification via transport measurements in charged AFM-coupled dot.

References in corpus (10)

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• Observation of mesoscopic crystalline structures in a two-dimensional Rydberg gas
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Cited by in corpus (8)

• Coupled-wire constructions: a Luttinger liquid approach to topology
• Out of equilibrium density dynamics of a quenched fermionic system
• Dynamic response functions and helical gaps in interacting Rashba nanowires with and without magnetic fields
• Fractional charge oscillations in quantum spin Hall quantum dots
• Interaction effects in a microscopic quantum wire model with strong spin-orbit interaction
• Long- and short-range interaction footprints in entanglement entropies of two-particle Wigner molecules in 2D quantum traps
• Charge and spin density in the helical Luttinger liquid
• Effective metal-insulator non-equilibrium quantum phase transition