Scaling analysis of Kondo screening cloud in a mesoscopic ring with an embedded quantum dot

Ryosuke Yoshii, Mikio Eto

研究成果: Article

10 被引用数 (Scopus)

抄録

The Kondo effect is theoretically studied in a quantum dot embedded in a mesoscopic ring. The ring is connected to two external leads, which enables the transport measurement. Using the "poor man's" scaling method, we obtain analytical expressions for the Kondo temperature TK as a function of the Aharonov-Bohm phase by the magnetic flux penetrating the ring. In this Kondo problem, there are two characteristic lengths. One is the screening length of the charge fluctuation, Lc=F/ |ε0|, where vF is the Fermi velocity and ε0 is the energy level in the quantum dot. The other is the screening length of the spin fluctuation, i.e., the size of the Kondo screening cloud, LK=F/TK. We obtain different expressions for TK for (i) LcLKL, (ii) L cLLK, and (iii) LLcLK, where L is the size of the ring. TK is markedly modulated by in cases (ii) and (iii), whereas it hardly depends on in case (i). We also derive logarithmic corrections to the conductance at temperature TTK and an analytical expression for the conductance at TTK, on the basis of the scaling analysis.

本文言語English
論文番号165310
ジャーナルPhysical Review B - Condensed Matter and Materials Physics
83
16
DOI
出版ステータスPublished - 2011 4 15

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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