Time-resolved charge fractionalization in inhomogeneous Luttinger liquids

Physical Review B - Condensed Matter and Materials Physics

Volumn 89, Issue 20, 2014, Pages

  Perfetto, E ^a,c,d   Stefanucci, G ^a,c,d   Kamata, H ^b   Fujisawa, T ^b  

^a UNIVERSITY OF ROME TOR VERGATA   (Italy)

^b TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

^c INFN LABORATORI NAZIONALI DI FRASCATI   (Italy)

^d European Theoretical Spectroscopy Facility ETSF   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84902208091     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.89.201413     Document Type: Article

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26. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevB.89.201413 for details on the explicit solution of Eq. (4) in the different geometries.
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28. For an incident wave packet injected from (Equation presented) in the lower (Equation presented) edge (Equation presented).
29. The property that the expansion coefficients of (Equation presented) are the same in the scattering-state basis and in the plane-wave basis is crucial to perform the (Equation presented) integral in Eqs. (5). This property can be checked by calculating (Equation presented) for all (Equation presented) (see Ref. [26]).
30. To evaluate (Equation presented) and (Equation presented) in (Equation presented) the expressions of (Equation presented), and (Equation presented) are needed [26].
31. Within our convention the current (Equation presented) carried by an excess of left-moving electrons is negative. Thus in order to compare the theoretical results with the experiment in Ref. [22], in producing the plots we have to revert the “(Equation presented)†sign appearing in the second lines of Eqs. (8).