2013/09/30 by M. Hanl, Markus Hanl, Andreas Weichselbaum · 1 citation
Mathematics · Physics and Astronomy · #Anderson impurity model #Condensed matter physics #Hamiltonian (control theory) #Impurity #Inverse #Kondo effect #Kondo model #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Rare-earth and actinide compounds #Scaling #Statistical physics #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.89.075130
published as Phys. Rev. B 89, 075130 (2014) · 9+9 pages, 5 figures. The published version also contains the newly added App. D on the extraction of phase shifts within the NRG
openalex publication_date 2014/02/21 · arxiv created 2014/02/25 · arxiv updated 2014/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Kondo scale TK for impurity systems is expected to guarantee universal scaling of physical quantities. However, in practice, not every definition of TK necessarily supports this notion away from the strict scaling limit. Specifically, this paper addresses the role of finite bandwidth D in the strongly correlated Kondo regime. For this, various theoretical definitions of TK are analyzed based on the inverse magnetic impurity susceptibility at zero temperature. While conventional definitions in that respect quickly fail to ensure universal Kondo scaling for a large range of D, this paper proposes an altered definition of TKsc that allows universal scaling of dynamical or thermal quantities for a given fixed Hamiltonian. If the scaling is performed with respect to an external parameter that directly enters the Hamiltonian, such as magnetic field, the corresponding TKsc,B for universal scaling differs, yet becomes equivalent to TKsc in the scaling limit. The only requirement for universal scaling in the full Kondo parameter regime with a residual error of less than 1% is a well-defined isolated Kondo feature with TK\ensuremath\lesssim0.01\phantom\rule0.16em0exD irrespective of specific other impurity parameter settings. By varying D over a wide range relative to the bare energies of the impurity, for example, this allows a smooth transition from the Anderson to the Kondo model.