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arXiv · 1707.08717

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

Paul Brasseur·Ngoc Han Tu·Yoshiaki Sekine·Koji Muraki·Masayuki Hashisaka·Toshimasa Fujisawa·Norio Kumada
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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.

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Paul Brasseur, Ngoc Han Tu, Yoshiaki Sekine, Koji Muraki, Masayuki Hashisaka, Toshimasa Fujisawa, Norio Kumada. 2017-07-27. Charge Fractionalization in Artificial Tomonaga-Luttinger Liquids with Controlled Interaction Strength. https://doi.org/10.1103/physrevb.96.081101

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