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 language | English (US) |
|---|---|
| Article number | 256803 |
| Journal | Physical Review Letters |
| Volume | 102 |
| Issue number | 25 |
| DOIs | |
| State | Published - Jun 26 2009 |
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All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
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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 journal › Article
TY - JOUR
T1 - Kondo effect in the helical edge liquid of the quantum spin hall state
AU - Maciejko, Joseph
AU - Liu, Chaoxing
AU - Oreg, Yuval
AU - Qi, Xiao Liang
AU - Wu, Congjun
AU - Zhang, Shou Cheng
PY - 2009/6/26
Y1 - 2009/6/26
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=67649484452&partnerID=8YFLogxK
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U2 - 10.1103/PhysRevLett.102.256803
DO - 10.1103/PhysRevLett.102.256803
M3 - Article
C2 - 19659109
AN - SCOPUS:67649484452
VL - 102
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 25
M1 - 256803
ER -