Renormalization-group analysis of the one-dimensional extended Hubbard model with a single impurity

We analyze the one-dimensional extended Hubbard model with a single static impurity by using a computational technique based on the functional renormalization group. This extends previous work for spinless fermions to spin-1∕2 fermions. The underlying approximations are devised for weak interactions...

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Hauptverfasser: Andergassen, Sabine (VerfasserIn) , Enss, Tilman (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 26 January 2006
In: Physical review. B, Condensed matter and materials physics
Year: 2006, Jahrgang: 73, Heft: 4
ISSN:1550-235X
DOI:10.1103/PhysRevB.73.045125
Online-Zugang:Verlag, Volltext: http://dx.doi.org/10.1103/PhysRevB.73.045125
Verlag, Volltext: https://link.aps.org/doi/10.1103/PhysRevB.73.045125
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Verfasserangaben:S. Andergassen, T. Enss, V. Meden, W. Metzner, U. Schollwöck, and K. Schönhammer
Beschreibung
Zusammenfassung:We analyze the one-dimensional extended Hubbard model with a single static impurity by using a computational technique based on the functional renormalization group. This extends previous work for spinless fermions to spin-1∕2 fermions. The underlying approximations are devised for weak interactions and arbitrary impurity strengths, and have been checked by comparing with density-matrix renormalization-group data. We present results for the density of states, the density profile, and the linear conductance. Two-particle backscattering leads to striking effects, which are not captured if the bulk system is approximated by its low-energy fixed point, the Luttinger model. In particular, the expected decrease of spectral weight near the impurity and of the conductance at low energy scales is often preceded by a pronounced increase, and the asymptotic power laws are modified by logarithmic corrections.
Beschreibung:Gesehen am 24.11.2017
Beschreibung:Online Resource
ISSN:1550-235X
DOI:10.1103/PhysRevB.73.045125