One-Dimensional Luttinger Liquid of Particles for a Class of Infinitely Repulsive Interactions: Exact Solution
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A model for interacting spinless fermions in one dimension is solved exactly and later extended to the spin case. The solution is based on a mapping where interactions appear as geometric constraints. It is simple enough to allow a complete Luttinger liquid characterization, including criticality. This geometric interpretation of interactions is shown to be a convenient framework to understand criticality in any Luttinger liquid, and is applied to recover some transport properties in an elementary way.
KeywordsFermi Liquid Free Fermion Interparticle Spacing Luttinger Liquid Spin Sector
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