Duality in multi-channel Luttinger Liquid with local scatterer


We have devised a general scheme that reveals multiple duality relations valid for all multi-channel Luttinger Liquids. The relations are universal and should be used for establishing phase diagrams and searching for new non-trivial phases in low-dimensional strongly correlated systems. The technique developed provides universal correspondence between scaling dimensions of local perturbations in different phases. These multiple relations between scaling dimensions lead to a connection between different inter-phase boundaries on the phase diagram. The dualities, in particular, constrain phase diagram and allow predictions of emergence and observation of new phases without explicit model-dependent calculations. As an example, we demonstrate the impossibility of non-trivial phase existence for fermions coupled to phonons in one dimension.

Publication DOI: https://doi.org/10.1209/0295-5075/104/37004
Divisions: College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
Additional Information: ©2013 IOP Publishing Ltd.
Uncontrolled Keywords: Physics and Astronomy(all)
Publication ISSN: 1286-4854
Last Modified: 05 Jan 2024 08:12
Date Deposited: 06 Jul 2015 10:40
Full Text Link:
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
http://iopscien ... 75/104/3/37004/ (Publisher URL)
PURE Output Type: Article
Published Date: 2013-11-29
Authors: Yurkevich, Igor V. (ORCID Profile 0000-0003-1447-8913)



Version: Accepted Version

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