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Spin-valley collective modes of the electron liquid in graphene

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arxiv 2010.15154 v2 pith:HRKXKENF submitted 2020-10-28 cond-mat.mes-hall cond-mat.str-el

Zachary M. Raines , Vladimir I. Fal'ko , Leonid I. Glazman This is my paper
classification cond-mat.mes-hallcond-mat.str-el
keywords modesgraphenecollectiveimbalanceliquidmodeover-dampedspin
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abstract

We develop the theory of collective modes supported by a Fermi liquid of electrons in pristine graphene. Under reasonable assumptions regarding the electron-electron interaction, all the modes but the plasmon are over-damped. In addition to the $SU(2)$ symmetric spin mode, these include also the valley imbalance modes obeying a $U(1)$ symmetry, and a $U(2)$ symmetric valley spin imbalance mode. We derive the interactions and diffusion constants characterizing the over-damped modes. The corresponding relaxation rates set fundamental constraints on graphene valley- and spintronics applications.

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