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Berry curvature in graphene: a new approach

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Abstract

In the present paper we have directly computed the Berry curvature terms relevant for graphene in the presence of an inhomogeneous lattice distortion. We have employed the generalized Foldy–Wouthuysen framework, developed by some of us. We show that a non-constant lattice distortion leads to a valley–orbit coupling which is responsible for a valley–Hall effect. This is similar to the valley–Hall effect induced by an electric field proposed in the literature and is the analogue of the spin–Hall effect in semiconductors. Our general expressions for Berry curvature, for the special case of homogeneous distortion, reduce to the previously obtained results. We also discuss the Berry phase in the quantization of cyclotron motion.

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Authors and Affiliations

  1. Institut Fourier, UMR 5582 CNRS-UJF, UFR de Mathématiques, Université Grenoble I, BP74, 38402, Saint Martin d’Hères Cedex, France

    Pierre Gosselin

  2. Laboratoire de Physique Moléculaire et des Collisions, ICPMB-FR CNRS 2843, Université Paul Verlaine-Metz, 57078, Metz Cedex 3, France

    Alain Bérard & Hervé Mohrbach

  3. Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 B. T. Road, Calcutta, 700108, India

    Subir Ghosh

Authors
  1. Pierre Gosselin
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  2. Alain Bérard
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  3. Hervé Mohrbach
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  4. Subir Ghosh
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Corresponding author

Correspondence to Subir Ghosh.

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Gosselin, P., Bérard, A., Mohrbach, H. et al. Berry curvature in graphene: a new approach. Eur. Phys. J. C 59, 883–889 (2009). https://doi.org/10.1140/epjc/s10052-008-0839-4

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  • DOI: https://doi.org/10.1140/epjc/s10052-008-0839-4

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