2017/10/31 by Björn Sbierski, Christoph Karrasch
Physics and Astronomy · #Computer science #Fermion #Formalism (music) #Functional renormalization group #Group (periodic table) #Invariant (physics) #Luttinger liquid #Physics #Physics of Superconductivity and Magnetism #Position and momentum space #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Renormalization #Renormalization group #Space (punctuation) #Theoretical physics #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.96.235122
published as Phys. Rev. B 96, 235122 (2017) · 9 pages
arxiv created 2017/12/14 · openalex publication_date 2017/12/14 · arxiv updated 2017/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We devise a functional renormalization group treatment for a chain of interacting spinless fermions which is correct up to second order in interaction strength. We treat both inhomogeneous systems in real space as well as the translationally invariant case in a k-space formalism. The strengths and shortcomings of the different schemes as well as technical details of their implementation are discussed. We use the method to study two proof-of-principle problems in the realm of Luttinger liquid physics, namely, reflection at interfaces and power laws in the occupation number as a function of crystal momentum.