Landau poles in condensed matter systems

2020/03/31 by Shao-Kai Jian, Edwin Barnes, Sankar Das Sarma
Materials Science · Physics and Astronomy · #Field (mathematics) #Graphene research and applications #Landau quantization #Landau theory #Magnetic field #Quantum #Quantum and electron transport phenomena #Quantum field theory #Topological Materials and Phenomena #cond-mat.str-el #hep-lat #hep-th

paper · pdf · doi:10.1103/physrevresearch.2.023310

published as Phys. Rev. Research 2, 023310 (2020) · 17 pages, 5 figures

openalex created_date 2020/03/23 · arxiv created 2020/06/09 · openalex publication_date 2020/06/09 · arxiv updated 2020/06/11 · openalex updated_date 2026/08/06

Abstract

The authors propose a condensed matter approach to Landau poles in field theories describing critical quantum magnets and graphene, and find that irrelevant operators can enhance the likelihood that Landau poles arise, and that the existence of poles in graphene depends on whether they exist in quantum magnets.

Citations

• Width of the longitudinal magnon in the vicinity of the O(3) quantum critical point
• The renormalization group: Critical phenomena and the Kondo problem
• The electronic properties of graphene
• Moire bands in twisted double-layer graphene
• Quantum critical point in graphene approached in the limit of infinitely strong Coulomb interaction
• On Quantum-Electrodynamics and the Magnetic Moment of the Electron
• Scaling laws for ising models near Tc
• Revised and Improved Value of the QED Tenth-Order Electron Anomalous Magnetic Moment