Duality in multi-channel Luttinger Liquid with local scatterer
arXiv:1306.5945 · doi:10.1209/0295-5075/104/37004
Abstract
We have devised a general scheme that provides exact results for the scaling dimensions of all allowed in multi-channel Luttinger Liquids local perturbations. The technique developed provides universal description and establishes relations between scaling dimensions of perturbations in different phases of Luttinger Liquid. These multiple relations between scaling dimensions are universal. They are valid for all Luttinger Liquids with arbitrary current-current and density-density interactions. We have also established duality transformation between different subsets of Luttinger Liquid phases known for single-channel liquid as duality between weak link and weak scatterer limits.
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- Fractional Spin Quantum Hall Effect in Weakly Coupled Spin Chain Arrays
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- Dominant superconducting correlations in a Luttinger liquid induced by spin fluctuations