2002/09/25 by V. Meden, Ulrich Schollwöck, U. Schollwoeck · 49 citations
Physics and Astronomy · #Advanced Chemical Physics Studies #Bosonization #Condensed matter physics #Density matrix renormalization group #Electron #Fermion #Functional renormalization group #Lattice (music) #Mesoscopic physics #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Renormalization #Renormalization group #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.67.035106
published in Physical review. B, Condensed matter 67(3) (American Physical Society) · 9 pages, 8 figures included
arxiv created 2002/09/25 · openalex publication_date 2003/01/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The persistent current in a lattice model of a one-dimensional interacting electron system is systematically studied using a complex version of the density-matrix renormalization group algorithm and the functional renormalization group method. We mainly focus on the situation where a single impurity is included in the ring penetrated by a magnetic flux. Due to the interplay of the electron-electron interaction and the impurity the persistent current in a system of N lattice sites vanishes faster than 1/N. Only for very large systems and large impurities our results are consistent with the Bosonization prediction obtained for an effective field theory. The results from the density-matrix renormalization group and the functional renormalization group agree well for interactions as large as half the bandwidth, even though as an approximation in the latter method the flow of the two-particle vertex is neglected. This confirms that the functional renormalization group method is a very powerful tool to investigate correlated electron systems. The method will become very useful for the theoretical description of the electronic properties of small conducting ring molecules.