Spin-valley collective modes of the electron liquid in graphene

Zachary M. Raines; Vladimir Fal'ko; Leonid I.  Glazman

Spin-valley collective modes of the electron liquid in graphene

Zachary M. Raines, Vladimir Fal'ko, Leonid I. Glazman

Yale University

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Journal	Physical Review B
Publication status	Accepted/In press - 2 Feb 2021

Research Beacons, Institutes and Platforms

National Graphene Institute

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Accepted author manuscript, 465 KB
Embargo ends: 1/01/31

Cite this

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title = "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.",

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year = "2021",

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language = "English",

journal = "Physical Review B",

issn = "2469-9969",

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AU - Fal'ko, Vladimir

AU - Glazman, Leonid I.

PY - 2021/2/2

Y1 - 2021/2/2

N2 - 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.

AB - 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.

M3 - Article

SN - 2469-9969

JO - Physical Review B

JF - Physical Review B

ER -

Spin-valley collective modes of the electron liquid in graphene

Abstract

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