Charge fractionalization in artificial Tomonaga-Luttinger liquids with controlled interaction strength

Charge fractionalization in artificial Tomonaga-Luttinger liquids with controlled interaction... 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 wave packets are reflected back and forth multiple times at both ends of the TLL region. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review B American Physical Society (APS)

Charge fractionalization in artificial Tomonaga-Luttinger liquids with controlled interaction strength

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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 wave packets are reflected back and forth multiple times at both ends of the TLL region.
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Publisher
The American Physical Society
Copyright
Copyright © ©2017 American Physical Society
ISSN
1098-0121
eISSN
1550-235X
D.O.I.
10.1103/PhysRevB.96.081101
Publisher site
See Article on Publisher Site

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 wave packets are reflected back and forth multiple times at both ends of the TLL region.

Journal

Physical Review BAmerican Physical Society (APS)

Published: Aug 8, 2017

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