1997/05/07 by Álvaro Antônio Bandeira Ferraz, Ferraz, A., Sérgio Luiz Garavelli +3
Physics and Astronomy · #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Strongly Correlated Electrons (cond-mat.str-el) #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.cond-mat/9705057
openalex publication_date 1997/05/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider a local effective model for fermionic low lying excitations in a metal. Introducing a boson auxiliary field and taking into account that the most significant interactions between quasiparticles arise for those which are near a given point on the Fermi surface, we find that the effective boson-fermion interaction is singular for a spatial dimension d=2. We regularize the theory and apply the renormalization group method. As we vary the coupling constant as a function of an energy scale parameter we show that the model undergoes a non-perturbative regime in which the Fermi liquid theory is no longer valid.