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arXiv · 0811.4498

Is the Luttinger liquid a new state of matter?

V. V. Afonin·V. Yu. Petrov
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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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V. V. Afonin, V. Yu. Petrov. 2008-11-27. Is the Luttinger liquid a new state of matter?. https://doi.org/10.1007/s10701-009-9385-7

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