2021/09/29 by Shibalik Lahiri, Tanmay Bhore, Kamal Das +1
Materials Science · Mathematics · Physics and Astronomy · #Berry connection and curvature #Classical mechanics #Condensed matter physics #Curvature #Electron #Geometric phase #Geometry #Graphene research and applications #Lorentz force #Lorentz transformation #Magnetic field #Magnetic moment #Mathematics #Nonlinear system #Perpendicular #Physics #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Topological Materials and Phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.105.045421
11 pages, 4 figures, comments are welcome
arxiv created 2021/09/29 · openalex publication_date 2022/01/26 · openalex created_date 2022/02/08 · arxiv updated 2022/03/22 · openalex updated_date 2026/08/05
The band geometric properties of quantum materials play an elemental role in the linear and nonlinear transport of electrons. In this paper, we propose that the interplay of the Berry curvature, the orbital magnetic moment and the Lorentz force can induce a finite nonlinear resistivity in two dimensional systems in presence of a perpendicular magnetic field. The induced nonlinear magnetoresistivity scales linearly with the magnetic field and is purely quantum mechanical in origin. This novel transport signature can be used as an additional experimental probe for the geometric quantities in intrinsically time reversal symmetric systems.