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Hidden Duality and associated instabilities of Tomonaga-Luttinger Liquid on Lattice

Z. N. C. Ha
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Abstract

Hidden duality and associated instabilities of the spinless Luttinger liquid on lattice are reported. The local quantum fluctuations and the long-distance chiral modes compete and as a result produce a hierarchy of exotic charge/density instabilities. Explicit bosonic quantum operators for the local density fluctuations are constructed and are used to make identification of the Luttinger liquid with the classical 2D Coulomb gas with $θ$-term and with the rich hidden duality.

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Z. N. C. Ha. 1997-12-01. Hidden Duality and associated instabilities of Tomonaga-Luttinger Liquid on Lattice. https://doi.org/10.1016/s1386-9477(97)00019-2

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