Occupation of a resonant level coupled to a chiral Luttinger liquid |
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Authors: | Furusaki A Matveev K A |
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Institution: | Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan. |
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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 epsilon for various values of the Luttinger-liquid parameter g. At g<1/2, a weakly coupled level shows a sharp jump in n(epsilon) at the Fermi level. As the coupling is increased, the magnitude of the jump decreases until sqrt2g], and then the discontinuity in n(epsilon) disappears. We show that n(epsilon) can be expressed in terms of the magnetization of a Kondo impurity as a function of magnetic field. |
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