Fermi-Edge Singularity in One-Dimensional Metals: Effects of Hole Recoil and Electronic Correlation

1993 ◽  
Vol 32 (S2) ◽  
pp. 76 ◽  
Author(s):  
Tetsuo Ogawa ◽  
Akira Furusaki ◽  
Naoto Nagaosa
Keyword(s):  
Electronic Correlation ◽  
One Dimensional ◽  
Edge Singularity ◽  
Fermi Edge ◽  
Fermi Edge Singularity

RENORMALIZATION OF POTENTIAL SCATTERING IN A ONE-DIMENSIONAL NON-LUTTINGER LIQUID: CONDUCTION AND X-RAY FERMI-EDGE SINGULARITY

1995 ◽  
Vol 09 (05) ◽  
pp. 249-269
Author(s):  
DONGXIAO YUE
Keyword(s):  
Luttinger Liquid ◽  
Scattered Wave ◽  
Zeeman Splitting ◽  
Electron System ◽  
Potential Scattering ◽  
Differential Conductance ◽  
One Dimensional ◽  
Edge Singularity ◽  
Fermi Edge ◽  
Fermi Edge Singularity

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.

scholarly journals Resonance in the Fermi-edge singularity of one-dimensional systems

1996 ◽  
Vol 53 (16) ◽  
pp. 10928-10941 ◽  
Author(s):  
Yuval Oreg ◽  
Alexander M. Finkel’stein
Keyword(s):  
One Dimensional ◽  
Edge Singularity ◽  
Fermi Edge ◽  
Fermi Edge Singularity

Fermi-edge singularity in one-dimensional systems

1992 ◽  
Vol 68 (24) ◽  
pp. 3638-3641 ◽  
Author(s):  
Tetsuo Ogawa ◽  
Akira Furusaki ◽  
Naoto Nagaosa
Keyword(s):  
One Dimensional ◽  
Edge Singularity ◽  
Fermi Edge ◽  
Fermi Edge Singularity
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