Duality in multi-channel Luttinger Liquid with local scatterer

Igor V. Yurkevich*

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review


    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.

    Original languageEnglish
    Article number37004
    Number of pages5
    JournalEurophysics Letters
    Issue number3
    Publication statusPublished - 29 Nov 2013

    Bibliographical note

    ©2013 IOP Publishing Ltd.


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