Altland, Alexander ORCID: 0000-0002-2991-4805, Gefen, Yuval and Rosenow, Bernd (2015). Intermediate fixed point in a Luttinger liquid with elastic and dissipative backscattering. Phys. Rev. B, 92 (8). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969

Full text not available from this repository.

Abstract

In a recent work [A. Altland, Y. Gefen, and B. Rosenow, Phys. Rev. Lett. 108, 136401 ( 2012)], we have addressed the problem of a Luttinger liquid with a scatterer that allows for both coherent and incoherent scattering channels. We have found that the physics associated with this model is qualitatively different from the elastic impurity setup analyzed by Kane and Fisher, and from the inelastic scattering scenario studied by Furusaki and Matveev, thus proposing a paradigmatic picture of Luttinger liquid with an impurity. Here we present an extensive study of the renormalization group flows for this problem, the fixed point landscape, and scaling near those fixed points. Our analysis is nonperturbative in the elastic tunneling amplitudes, employing an instanton calculation in one or two of the available elastic tunneling channels. Our analysis accounts for nontrivial Klein factors, which represent anyonic or fermionic statistics. These Klein factors need to be taken into account due to the fact that higher-order tunneling processes take place. In particular, we find a stable fixed point, where an incoming current is split 1/2 - 1/2 between a forward and a backward scattered beams. This intermediate fixed point, between complete backscattering and full forward scattering, is stable for the Luttinger parameter g < 1.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Altland, AlexanderUNSPECIFIEDorcid.org/0000-0002-2991-4805UNSPECIFIED
Gefen, YuvalUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Rosenow, BerndUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-396448
DOI: 10.1103/PhysRevB.92.085124
Journal or Publication Title: Phys. Rev. B
Volume: 92
Number: 8
Date: 2015
Publisher: AMER PHYSICAL SOC
Place of Publication: COLLEGE PK
ISSN: 2469-9969
Language: English
Faculty: Faculty of Mathematics and Natural Sciences
Divisions: Faculty of Mathematics and Natural Sciences > Department of Physics > Institute for Theoretical Physics
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
COULOMB-BLOCKADE; SHOT-NOISE; CHARGE; TRANSPORT; NANOTUBES; JUNCTIONSMultiple languages
Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed MatterMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/39644

Downloads

Downloads per month over past year

Altmetric

Export

Actions (login required)

View Item View Item