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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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
26 January 2006
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| In: |
Physical review. B, Condensed matter and materials physics
Year: 2006, Volume: 73, Issue: 4 |
| ISSN: | 1550-235X |
| DOI: | 10.1103/PhysRevB.73.045125 |
| Online Access: | 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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| Author Notes: | S. Andergassen, T. Enss, V. Meden, W. Metzner, U. Schollwöck, and K. Schönhammer |
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| 520 | |a 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. | ||
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