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.
@article{arxiv.1707.08717,
title = {Charge Fractionalization in Artificial Tomonaga-Luttinger Liquids with Controlled Interaction Strength},
author = {Paul Brasseur and Ngoc Han Tu and Yoshiaki Sekine and Koji Muraki and Masayuki Hashisaka and Toshimasa Fujisawa and Norio Kumada},
journal= {arXiv preprint arXiv:1707.08717},
year = {2017}
}
Comments
to be published in Phys. Rev. B Rapid Communication