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- W3044478078 abstract "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 $1/{r}^{3}$. 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 ${p}_{0}^{ensuremath{-}1}ensuremath{lesssim}rensuremath{lesssim}{k}_{F}{l}^{2}$, where $l$ is the magnetic length, ${k}_{F}$ is Fermi momentum, and ${p}_{0}^{ensuremath{-}1}={({k}_{F}l)}^{4/3}/{k}_{F}$. 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." @default.
- W3044478078 created "2020-07-29" @default.
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- W3044478078 date "2021-02-09" @default.
- W3044478078 modified "2023-09-24" @default.
- W3044478078 title "Persistent Friedel oscillations in graphene due to a weak magnetic field" @default.
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- W3044478078 doi "https://doi.org/10.1103/physrevb.103.085418" @default.
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