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Title: Tuning the many-body interactions in a helical Luttinger liquid
Authors: Jia, Junxiang
Marcellina, Elizabeth
Das, Anirban
Lodge, Michael S.
Wang, BaoKai
Ho, Duc-Quan
Biswas, Riddhi
Pham, Tuan Anh
Tao, Wei
Huang, Cheng-Yi
Lin, Hsin
Bansil, Arun
Mukherjee, Shantanu
Weber, Bent
Keywords: Science::Physics
Issue Date: 2022
Source: Jia, J., Marcellina, E., Das, A., Lodge, M. S., Wang, B., Ho, D., Biswas, R., Pham, T. A., Tao, W., Huang, C., Lin, H., Bansil, A., Mukherjee, S. & Weber, B. (2022). Tuning the many-body interactions in a helical Luttinger liquid. Nature Communications, 13(1), 6046-.
Project: NRF-CRP21-2018-0001 
Journal: Nature Communications 
Abstract: In one-dimensional (1D) systems, electronic interactions lead to a breakdown of Fermi liquid theory and the formation of a Tomonaga-Luttinger Liquid (TLL). The strength of its many-body correlations can be quantified by a single dimensionless parameter, the Luttinger parameter K, characterising the competition between the electrons' kinetic and electrostatic energies. Recently, signatures of a TLL have been reported for the topological edge states of quantum spin Hall (QSH) insulators, strictly 1D electronic structures with linear (Dirac) dispersion and spin-momentum locking. Here we show that the many-body interactions in such helical Luttinger Liquid can be effectively controlled by the edge state's dielectric environment. This is reflected in a tunability of the Luttinger parameter K, distinct on different edges of the crystal, and extracted to high accuracy from the statistics of tunnelling spectra at tens of tunnelling points. The interplay of topology and many-body correlations in 1D helical systems has been suggested as a potential avenue towards realising non-Abelian parafermions.
ISSN: 2041-1723
DOI: 10.1038/s41467-022-33676-0
DOI (Related Dataset): 10.21979/N9/J8BWVQ
Schools: School of Physical and Mathematical Sciences 
Rights: © The Author(s) 2022. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit licenses/by/4.0/.
Fulltext Permission: open
Fulltext Availability: With Fulltext
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