Persistent Friedel oscillations in graphene due to a weak magnetic field

Two opposite chiralities of Dirac electrons in a two-dimensional (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 r much larger than the de Broglie wavelength, it decays as 1...

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Veröffentlicht in:Physical review. B 2021-02, Vol.103 (8), p.1, Article 085418
Hauptverfasser: Wang, Ke, Raikh, M. E., Sedrakyan, T. A.
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Sprache:eng
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Zusammenfassung:Two opposite chiralities of Dirac electrons in a two-dimensional (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 r much larger than the de Broglie wavelength, it decays as 1 / r3. 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 dominant in a parametrically large spatial interval p0− 1 ≲ r ≲ kFl2, where l is the magnetic length, kF is Fermi momentum, and p0−1 = ( kFl ) 4/3 / kF. 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.
ISSN:2469-9950
2469-9969
DOI:10.1103/PhysRevB.103.085418