2001/03/31 by Achim Rosch, A. Rosch · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Antiferromagnetism #Combinatorics #Condensed matter physics #Dimension (graph theory) #Fermi surface #Iron-based superconductors research #Mathematics #Paramagnetism #Phase (matter) #Physics #Physics of Superconductivity and Magnetism #Pseudogap #Quantum mechanics #Rare-earth and actinide compounds #Superconductivity #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.64.174407
6 pages, accepted in PRB, relevant references added, several small changes
arxiv created 2001/06/29 · openalex publication_date 2001/10/03 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In the antiferromagnetically ordered phase of a metal, gaps open on parts of the Fermi surface if the Fermi volume is sufficiently large. We discuss simple qualitative and heuristic arguments under what conditions precursor effects, i.e., pseudogaps, are expected in the paramagnetic phase of a metal close to an antiferromagnetic quantum phase transition. At least for weak interactions, we do not expect the formation of pseudogaps in a three-dimensional material. According to our arguments, the upper critical dimension dc for the formation of pseudogaps is dc=2. However, at the present stage we cannot rule out a higher upper critical dimension, 2<~dc<~3. We also discuss briefly the role of statistical interactions in pseudogap phases.