Kondo effect in the helical edge liquid of the quantum spin hall state

Joseph Maciejko, Chaoxing Liu, Yuval Oreg, Xiao Liang Qi, Congjun Wu, Shou Cheng Zhang

Research output: Contribution to journalArticle

161 Citations (Scopus)

Abstract

Following the recent observation of the quantum spin Hall (QSH) effect in HgTe quantum wells, an important issue is to understand the effect of impurities on transport in the QSH regime. Using linear response and renormalization group methods, we calculate the edge conductance of a QSH insulator as a function of temperature in the presence of a magnetic impurity. At high temperatures, Kondo and/or two-particle scattering give rise to a logarithmic temperature dependence. At low temperatures, for weak Coulomb interactions in the edge liquid, the conductance is restored to unitarity with unusual power laws characteristic of a "local helical liquid," while for strong interactions, transport proceeds by weak tunneling through the impurity where only half an electron charge is transferred in each tunneling event.

Original languageEnglish (US)
Article number256803
JournalPhysical Review Letters
Volume102
Issue number25
DOIs
StatePublished - Jun 26 2009

Fingerprint

Kondo effect
impurities
liquids
renormalization group methods
Hall effect
insulators
quantum wells
temperature dependence
scattering
electrons
interactions
temperature

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Maciejko, Joseph ; Liu, Chaoxing ; Oreg, Yuval ; Qi, Xiao Liang ; Wu, Congjun ; Zhang, Shou Cheng. / Kondo effect in the helical edge liquid of the quantum spin hall state. In: Physical Review Letters. 2009 ; Vol. 102, No. 25.
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Kondo effect in the helical edge liquid of the quantum spin hall state. / Maciejko, Joseph; Liu, Chaoxing; Oreg, Yuval; Qi, Xiao Liang; Wu, Congjun; Zhang, Shou Cheng.

In: Physical Review Letters, Vol. 102, No. 25, 256803, 26.06.2009.

Research output: Contribution to journalArticle

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