Fractional Wigner crystal in the helical Luttinger liquid

Abstract

The properties of the strongly interacting edge states of two dimensional topological insulators in the presence of two particle backscattering are investigated. We find an anomalous behavior of the density-density correlation functions, which show oscillations that are neither of Friedel nor of Wigner type: they instead represent a Wigner crystal of fermions of fractional charge e/2, with e the electron charge. By studying the Fermi operator, we show that the state characterized by such fractional oscillations still bears the signatures of spin momentum locking. Finally, we compare the spin-spin correlation functions and the density-density correlation functions to argue that the fractional Wigner crystal is characterized by a non trivial spin texture.

5 pages, 2 figures

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Cited by in corpus (23)

• Observation of a Helical Luttinger-Liquid in InAs/GaSb Quantum Spin Hall Edges
• Conductance signatures of odd-frequency superconductivity in quantum spin Hall systems using a quantum point contact
• The chiral anomaly in real space
• Wigner crystallization in topological flat bands
• Gapless insulating edges of dirty interacting topological insulators
• Tuning the Many-body Interactions in a Helical Luttinger Liquid
• Out of equilibrium density dynamics of a quenched fermionic system
• Non-monotonic response and light-cone freezing in gapless-to-(partially) gapped quantum quenches of fermionic systems
• Dynamic response functions and helical gaps in interacting Rashba nanowires with and without magnetic fields
• Formation and detection of Majorana modes in quantum spin Hall trenches
• Fractional charge oscillations in quantum spin Hall quantum dots
• Signatures of Jackiw-Rebbi resonance in the thermal conductance of topological Josephson junctions with magnetic islands
• Edge stability and edge quantum criticality in 2D interacting topological insulators
• The invisible Majorana bound state at the helical edge
• Crystallization of fractional charges in a strongly interacting quasi-helical quantum dot
• Transport signatures of a Floquet topological transition at the helical edge
• Electronic wave-packets in integer quantum Hall edge channels: relaxation and dissipative effects
• Robustness of Helical Edge States Under Edge Reconstruction
• Correlation and current anomalies in helical quantum dots
• Charge and spin density in the helical Luttinger liquid
• Suppression of the radiation squeezing in interacting quantum Hall edge channels
• Detection of fractional solitons in quantum spin Hall systems
• Effective metal-insulator non-equilibrium quantum phase transition