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 |
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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. |
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ISSN: | 2469-9950 2469-9969 |
DOI: | 10.1103/PhysRevB.103.085418 |