Scaling of the Fermi‐Edge Singularity in Quantum Dots

2019 ◽  
Vol 256 (6) ◽  
pp. 1800510 ◽  
Author(s):  
Jan K. Kühne ◽  
Rolf J. Haug
2012 ◽  
Vol T151 ◽  
pp. 014053 ◽  
Author(s):  
Katarzyna Roszak ◽  
Tomáš Novotný

2006 ◽  
Vol 34 (1-2) ◽  
pp. 508-510 ◽  
Author(s):  
N. Maire ◽  
F. Hohls ◽  
T. Lüdtke ◽  
R.J. Haug ◽  
K. Pierz

2007 ◽  
Vol 75 (23) ◽  
Author(s):  
N. Maire ◽  
F. Hohls ◽  
T. Lüdtke ◽  
K. Pierz ◽  
R. J. Haug

1995 ◽  
Vol 09 (05) ◽  
pp. 249-269
Author(s):  
DONGXIAO YUE

We review some of our recent results on the potential scattering in a weakly interacting one-dimensional(1D) electron gas. The technique we developed is a poor man's renormalization group procedure in the scattered wave basis. This technique can treat the renormalizations of the scattering on the barrier and the scattering between the electrons in a coherent way, and it allows us to find the scattering amplitudes on a localized potential of arbitrary strength for electrons at any energy. The obtained phase shifts are used to study the Fermi-edge singularity in an interacting 1D electron system, where anomalous exponent of the power-law singularity in the vicinity of the edge is found. The transmission coefficient is directly related to the conductance of a 1D channel by the Landauer formula. Simple formulas that describe the conductance at any temperature are derived. In spin-[Formula: see text] systems, the electron–electron backscattering induces renormalizations of the interaction constants, which causes the low-temperature conductance to deviate from the results of the Luttinger liquid theory. In particular, the temperature dependence of the conductance may become nonmonotonic. In the presence of a magnetic field, backscattering gives rise to a peak in the differential conductance at bias equal to the Zeeman splitting.


1989 ◽  
Vol 40 (17) ◽  
pp. 12017-12019 ◽  
Author(s):  
H. Kalt ◽  
K. Leo ◽  
R. Cingolani ◽  
K. Ploog

1997 ◽  
Vol 55 (12) ◽  
pp. R7391-R7393 ◽  
Author(s):  
G. Coli' ◽  
L. Calcagnile ◽  
P. V. Giugno ◽  
R. Cingolani ◽  
R. Rinaldi ◽  
...  

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