Duality in multi-channel Luttinger Liquid with local scatterer

Yurkevich, Igor V. (2013). Duality in multi-channel Luttinger Liquid with local scatterer. Europhysics Letters, 104 (3),

Abstract

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: Engineering & Applied Sciences > Mathematics
Engineering & Applied Sciences > Systems analytics research institute (SARI)
Additional Information: ©2013 IOP Publishing Ltd.
Uncontrolled Keywords: Physics and Astronomy(all)
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Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
http://iopscien ... 75/104/3/37004/ (Publisher URL)
Published Date: 2013-11-29
Authors: Yurkevich, Igor V. ( 0000-0003-1447-8913)

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