Scaling behavior of impurities in mesoscopic Luttinger liquids

2001/04/18 by V. Meden, Walter Metzner, W. Metzner +4 · 8 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum, superfluid, helium dynamics #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.65.045318

4 pages, 4 figures included

arxiv created 2001/04/18 · openalex publication_date 2002/01/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using a functional renormalization group, we compute the flow of the renormalized impurity potential for a single impurity in a Luttinger liquid over the entire energy range from the microscopic scale of a lattice-fermion model down to the low-energy limit. The nonperturbative method provides a complete real-space picture of the effective impurity potential. We confirm the universality of the open chain fixed point, but it turns out that very large systems (10⁴--10⁵ sites) are required to reach the fixed point for realistic choices of the impurity and interaction parameters.

Citations

• Exact evolution equation for the effective potential

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