Persistent Friedel oscillations in Graphene due to a weak magnetic field
arXiv:2007.13726 · doi:10.1103/PhysRevB.103.085418
Abstract
Two opposite chiralities of Dirac electrons in a 2D graphene sheet modify the Friedel oscillations strongly: electrostatic potential around an impurity in graphene decays much faster than in 2D electron gas. At distances much larger than the de Broglie wavelength, it decays as . Here we show that a weak uniform magnetic field affects the Friedel oscillations in an anomalous way. It creates a field-dependent contribution which is {\em dominant} in a parametrically large spatial interval , where is the magnetic length, is Fermi momentum and . Moreover, in this interval, the field-dependent oscillations do not decay with distance. The effect originates from a spin-dependent magnetic phase accumulated by the electron propagator. The obtained phase may give rise to novel interaction effects in transport and thermodynamic characteristics of graphene and graphene-based heterostructures.
arXiv comment12 pages, 3 figures
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