Density of states of interacting quantum wires with impurities: A Dyson equation approach - CEA - Commissariat à l’énergie atomique et aux énergies alternatives Accéder directement au contenu
Article Dans Une Revue Physical Review B: Condensed Matter and Materials Physics (1998-2015) Année : 2014

Density of states of interacting quantum wires with impurities: A Dyson equation approach

Résumé

We calculate the density of states for an interacting quantum wire in the presence of two impurities of arbitrary potential strength. To perform this calculation, we describe the Coulomb interactions in the wire within the Tomonaga-Luttinger liquid theory. After establishing and solving the Dyson equation for the fermionic retarded Green's functions, we study how the profile of the local density of states is affected by the interactions in the entire range of impurity potentials. Same as in the non-interacting case, when increasing the impurity strength, the central part of the wire becomes more and more disconnected from the semi-infinite leads, and discrete localized states begin to form; the width and the periodicity of the corresponding peaks in the spectrum depends on the interaction strength. As expected from the Luttinger liquid theory, impurities also induce a reduction of the local density of states at small energies. Two other important aspects are highlighted: the appearance of an extra modulation in the density of states at nonzero Fermi momentum when interactions are present, and the fact that forward scattering must be taken into account in order to recover the Coulomb-blockade regime for strong impurities.
Fichier principal
Vignette du fichier
1402.5285v2.pdf (666.58 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

cea-01334686 , version 1 (21-06-2016)

Identifiants

Citer

R Zamoum, M Guigou, C Bena, Adeline Crépieux. Density of states of interacting quantum wires with impurities: A Dyson equation approach. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2014, 90 (08), pp.5408. ⟨10.1103/PhysRevB.90.085408⟩. ⟨cea-01334686⟩
142 Consultations
113 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More