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Occupation of a resonant level coupled to a chiral Luttinger liquid

A. Furusaki·K. A. Matveev
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Abstract

We consider a resonant level coupled to a chiral Luttinger liquid which can be realized, e.g., at a fractional quantum Hall edge. We study the dependence of the occupation probability n of the level on its energy εfor various values of the Luttinger-liquid parameter g. At g<1/2 a weakly coupled level shows a sharp jump in n(ε) at the Fermi level. As the coupling is increased, the magnitude of the jump decreases until \sqrt{2g}, and then the discontinuity in n(ε) disappears. We show that n(ε) can be expressed in terms of the magnetization of a Kondo impurity as a function of magnetic field.

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A. Furusaki, K. A. Matveev. 2001-12-22. Occupation of a resonant level coupled to a chiral Luttinger liquid. https://doi.org/10.1103/physrevlett.88.226404

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