Single Subdynamics for potential scattering

2002 ◽  
Vol 13 (1) ◽  
pp. 9-34
Author(s):  
Michel De Haan ◽  
Claude D. George
Keyword(s):  
2017 ◽  
Vol 71 (10) ◽  
Author(s):  
Arman Korajac ◽  
Dino Habibović ◽  
Aner Čerkić ◽  
Mustafa Busuladžić ◽  
Dejan B. Milošević

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.


1969 ◽  
Vol 180 (5) ◽  
pp. 1387-1392 ◽  
Author(s):  
Stephen Rae ◽  
Peter Thurnauer
Keyword(s):  

Physics Today ◽  
1977 ◽  
Vol 30 (12) ◽  
pp. 56-57
Author(s):  
P. G. Burke ◽  
Robert St John

Sign in / Sign up

Export Citation Format

Share Document