Spin-valley collective modes of the electron liquid in graphene

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.

7 pages + 12 pages 1 figure supplemental material

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Cited by in corpus (8)

• Hydrodynamic approach to two-dimensional electron systems
• Hydrodynamic collective modes in graphene
• Collective spin modes in Fermi liquids with spin-orbit coupling
• Spin-valley Silin modes in graphene with substrate-induced spin-orbit coupling
• Nonequilibrium Relaxation and Odd-Even Effect in Finite-Temperature Electron Gases
• Collective spin oscillations in a magnetized graphene sheet
• Resonant Edelstein and inverse-Edelstein effects, charge-to-spin conversion, and spin pumping from chiral-spin modes
• Zero-field spin resonance in graphene with proximity-induced spin-orbit coupling