Charge Fractionalization in Artificial Tomonaga-Luttinger Liquids with Controlled Interaction Strength

Abstract

We investigate charge fractionalizations in artificial Tomonaga-Luttinger liquids (TLLs) composed of two capacitively coupled quantum Hall edge channels (ECs) in graphene. The interaction strength of the artificial TLLs can be controlled through distance W between the ECs. We show that the fractionalization ratio r and the TLL mode velocity v vary with W. The experimentally obtained relation between v and r follows a unique function predicted by the TLL theory. We also show that charged wavepackets are reflected back and forth multiple times at both ends of the TLL region.

to be published in Phys. Rev. B Rapid Communication

References in corpus (3)

• Spin-charge separation and localization in one-dimension
• Probing spin-charge separation in a Tomonaga-Luttinger liquid
• Electron Transport in a Multi-Channel One-Dimensional Conductor: Molybdenum Selenide Nanowires

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