Analytical expression of Kondo temperature in quantum dot embedded in Aharonov-Bohm ring

Ryosuke Yoshii, Mikio Eto

研究成果: Article査読

抄録

We theoretically study the Kondo effect in a quantum dot embedded in an Aharonov-Bohm ring, using the "poor man's" scaling method. Analytical expressions of the Kondo temperature T K are given as a function of magnetic flux F penetrating the ring. In this Kondo problem, there are two characteristic lengths, L c = h{stroke}v fF/{pipe}ε̃0{pipe} and L K = h{stroke}v F = T K, where v F is the Fermi velocity and ε0 is the renormalized energy level in the quantum dot. The former is the screening length of the charge fluctuation and the latter is that of the spin fluctuation, i.e., size of Kondo screening cloud. We obtain diferent expressions of T K(F) for (i) L c ≪ L K ≪ L, (ii) L c ≪ L ≪ L K, and (iii) L ≪ L c ≪ L K, where L is the size of the ring. T K is remarkably modulated by F in cases (ii) and (iii), whereas it hardly depends on F in case (i). PACS numbers:.

本文言語English
論文番号604
ページ(範囲)1-6
ページ数6
ジャーナルNanoscale Research Letters
6
DOI
出版ステータスPublished - 2011

ASJC Scopus subject areas

  • 材料科学(全般)
  • 凝縮系物理学

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