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Is the Luttinger Liquid a New State of Matter?

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Abstract

We are demonstrating that the Luttinger model with short range interaction can be treated as a type of Fermi liquid. In line with the main dogma of Landau’s theory one can define a fermion excitation renormalized by interaction and show that in terms of these fermions any excited state of the system is described by free particles. The fermions are a mixture of renormalized right and left electrons. The electric charge and chirality of the Landau quasi-particle is discussed.

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Authors and Affiliations

  1. Solid State Physics Division, A.F. Ioffe Institute, 194021, St. Petersburg, Russia

    V. V. Afonin

  2. Theory Division, St. Petersburg Nuclear Physics Institute, 188300, St. Petersburg, Russia

    V. Y. Petrov

Authors
  1. V. V. Afonin
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  2. V. Y. Petrov
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Correspondence to V. V. Afonin.

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Afonin, V.V., Petrov, V.Y. Is the Luttinger Liquid a New State of Matter?. Found Phys 40, 190–204 (2010). https://doi.org/10.1007/s10701-009-9385-7

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  • DOI: https://doi.org/10.1007/s10701-009-9385-7

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