Scaling theory vs exact numerical results for spinless resonant level model

Annamária Kiss, Junya Otsuki, Yoshio Kuramoto

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


This paper studies the charge Kondo effect in the (spinless) interacting resonant level model (IRLM) by means of the continuous-time quantum Monte Carlo method. The charge Kondo effect may be relevant to certain Samarium compounds with peculiar heavy-fermion behavior. We use double expansion with respect to Coulomb interaction Uf c and hybridization V. Exact dynamics and thermodynamics of the IRLM are derived numerically for a wide range of Uf c with a given value of V. As Uf c becomes negative, a quantum critical point is found in excellent agreement with a simple scaling formula that deals with V in the lowest-order, and Uf c up to infinite order. As Uf c becomes positive and large, however, exact numerical results deviate from lower order scaling results. In particular, the renormalized hybridization increases monotonically with increasing Uf c in contrast with the scaling theory that suggests another quantum critical point.

Original languageEnglish
Article number124713
Journaljournal of the physical society of japan
Issue number12
Publication statusPublished - Dec 2013
Externally publishedYes


  • Charge Kondo effect
  • Continuous-Time quantum Monte Carlo method
  • Dynamical and thermodynamical properties
  • Perturbative renormalization

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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