Abstract
Recently, the issue of whether the Kondo problem in quantum dots at large bias is a weak-coupling problem or not has been raised. In this paper, we revisit this problem by carefully analyzing a corresponding model in the solvable limit - The Emery-Kivelson line, where various crossover energy scales can be easily identified. We then try to extract the scaling behavior of this problem from various physical correlation functions within the spirit of "poor man's scaling." Our conclusions support some recent suggestions made by Coleman et al. [Phys. Rev. Lett. 86, 4088 (2001)], which are obtained by perturbative analysis: The voltage acts as a cutoff of the renormalization group flow for only half of the impurity so that the low-temperature physics is controlled by a strong-coupling fixed point. But the low-temperature response functions in general show one-channel Kondo behaviors with two-channel Kondo behaviors occurring only through proximity to a quantum critical point.
| Original language | English |
|---|---|
| Article number | 155324 |
| Pages (from-to) | 1553241-1553245 |
| Number of pages | 5 |
| Journal | Physical Review B - Condensed Matter and Materials Physics |
| Volume | 65 |
| Issue number | 15 |
| DOIs | |
| Publication status | Published - 2002 Apr 15 |
Fingerprint
All Science Journal Classification (ASJC) codes
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
Cite this
}
Kondo effects in quantum dots at large bias. / Lee, Yu Wen; Lee, Yu Li.
In: Physical Review B - Condensed Matter and Materials Physics, Vol. 65, No. 15, 155324, 15.04.2002, p. 1553241-1553245.Research output: Contribution to journal › Article
TY - JOUR
T1 - Kondo effects in quantum dots at large bias
AU - Lee, Yu Wen
AU - Lee, Yu Li
PY - 2002/4/15
Y1 - 2002/4/15
N2 - Recently, the issue of whether the Kondo problem in quantum dots at large bias is a weak-coupling problem or not has been raised. In this paper, we revisit this problem by carefully analyzing a corresponding model in the solvable limit - The Emery-Kivelson line, where various crossover energy scales can be easily identified. We then try to extract the scaling behavior of this problem from various physical correlation functions within the spirit of "poor man's scaling." Our conclusions support some recent suggestions made by Coleman et al. [Phys. Rev. Lett. 86, 4088 (2001)], which are obtained by perturbative analysis: The voltage acts as a cutoff of the renormalization group flow for only half of the impurity so that the low-temperature physics is controlled by a strong-coupling fixed point. But the low-temperature response functions in general show one-channel Kondo behaviors with two-channel Kondo behaviors occurring only through proximity to a quantum critical point.
AB - Recently, the issue of whether the Kondo problem in quantum dots at large bias is a weak-coupling problem or not has been raised. In this paper, we revisit this problem by carefully analyzing a corresponding model in the solvable limit - The Emery-Kivelson line, where various crossover energy scales can be easily identified. We then try to extract the scaling behavior of this problem from various physical correlation functions within the spirit of "poor man's scaling." Our conclusions support some recent suggestions made by Coleman et al. [Phys. Rev. Lett. 86, 4088 (2001)], which are obtained by perturbative analysis: The voltage acts as a cutoff of the renormalization group flow for only half of the impurity so that the low-temperature physics is controlled by a strong-coupling fixed point. But the low-temperature response functions in general show one-channel Kondo behaviors with two-channel Kondo behaviors occurring only through proximity to a quantum critical point.
UR - http://www.scopus.com/inward/record.url?scp=0037089198&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0037089198&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.65.155324
DO - 10.1103/PhysRevB.65.155324
M3 - Article
AN - SCOPUS:0037089198
VL - 65
SP - 1553241
EP - 1553245
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
SN - 1098-0121
IS - 15
M1 - 155324
ER -