Occupation of a resonant level coupled to a chiral Luttinger liquid

Details Occupation of a resonant level coupled to a chiral Luttinger liquid Occupation of a resonant level coupled to a chiral Luttinger liquid

2001-12-22

arxiv.org/abs/cond-mat/0112426v1

Phys. Rev. Lett. 88, 226404 (2002)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages including 1 figure

Scientific paper

10.1103/PhysRevLett.88.226404

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 \sqrt{2g}, 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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