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Collective behavior is one of the most intriguing aspects of the hydrodynamic approach to electronic transport. Here we provide a consistent, unified calculation of the dispersion relations of the hydrodynamic collective modes in graphene.…

Mesoscale and Nanoscale Physics · Physics 2021-03-22 B. N. Narozhny , I. V. Gornyi , M. Titov

In the presence of external magnetic field the Fermi-liquid state supports oscillatory spin modes known as Silin modes. We predict the existence of the generalized Silin modes in a multivalley system, monolayer graphene. A gauge- and…

Mesoscale and Nanoscale Physics · Physics 2022-05-04 Zachary M. Raines , Dmitrii L. Maslov , Leonid I. Glazman

Plasmons in two-dimensional electron systems with nonparabolic bands, such as graphene, feature strong dependence on electron-electron interactions. We use a many-body approach to relate plasmon dispersion at long wavelengths to Landau…

Mesoscale and Nanoscale Physics · Physics 2013-12-19 L. S. Levitov , A. V. Shtyk , M. V. Feigelman

The growing precision of optical and scattering experiments necessitates a better understanding of the influence of damping onto the collective mode of sheet electrons. As spin-polarized systems are of particular interest for spintronic…

Mesoscale and Nanoscale Physics · Physics 2018-08-20 Dominik Kreil , Michaela Haslhofer , Helga M. Böhm

We present a theoretical description of Bernstein modes that arise as a result of the coupling between plasmon-like collective excitations (upper-hybrid mode) and inter-Landau-level excitations, in graphene in a perpendicular magnetic…

Mesoscale and Nanoscale Physics · Physics 2011-05-24 R. Roldan , M. O. Goerbig , J. -N. Fuchs

Graphene exhibits quantum Hall ferromagnetism in which an approximate SU(4) symmetry involving spin and valley degrees of freedom is spontaneously broken. We construct a set of integer and fractional quantum Hall states that break the SU(4)…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Kun Yang , S. Das Sarma , A. H. MacDonald

We explore different skyrmion types in the lowest Landau level of graphene at a filling factor $\nu=\pm 1$. In addition to the formation of spin and valley pseudospin skyrmions, we show that another type of spin-valley entangled skyrmions…

Mesoscale and Nanoscale Physics · Physics 2016-08-03 Yunlong Lian , Achim Rosch , Mark O. Goerbig

Employing the recently developed momentum-space quantum Monte Carlo scheme, we study the dynamic response of single-particle and collective excitations in realistic continuum models of twisted bilayer graphene. At charge neutrality, this…

Strongly Correlated Electrons · Physics 2022-03-21 Gaopei Pan , Xu Zhang , Heqiu Li , Kai Sun , Zi Yang Meng

The spectrum of two-dimensional (2D) plasma waves in graphene has been recently studied in the Dirac fermion model. We take into account the whole dispersion relation for graphene electrons in the tight binding approximation and the local…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Timur Tudorovskiy , Sergey A. Mikhailov

We investigate collective spin excitations of graphene electrons with short-ranged interactions and subject to the external Zeeman magnetic field. We find that in addition to the familiar Silin spin wave, a collective spin-flip excitation…

Mesoscale and Nanoscale Physics · Physics 2024-08-23 M. Agarwal , O. A. Starykh , D. A. Pesin , E. G. Mishchenko

Collective modes in two-dimensional electron fluids show an interesting response to a background carrier flow. Surface plasmons propagating on top of a flowing Fermi liquid acquire a non-reciprocal character manifest in a $\pm k$ asymmetry…

Mesoscale and Nanoscale Physics · Physics 2020-01-01 Haoyang Gao , Zhiyu Dong , Leonid Levitov

We analyze various possible superconducting pairing states and their relative stabilities in lightly doped graphene. We show that, when inter-sublattice electron-electron attractive interaction dominates and Fermi level is close to Dirac…

Superconductivity · Physics 2013-01-03 Jianhui Zhou , Tao Qin , Junren Shi

We develop a Fermi liquid theory of $d$-wave altermagnets and apply it to describe their collective excitation spectrum. We predict that in addition to a conventional undamped plasmon mode, where both spin components oscillate in phase,…

Mesoscale and Nanoscale Physics · Physics 2025-12-10 Habib Rostami , Johannes Hofmann

In a generic spin-polarized Fermi liquid, the masses of spin-up and spin-down electrons are expected to be different and to depend on the degree of polarization. This expectation is not confirmed by the experiments on two-dimensional…

Strongly Correlated Electrons · Physics 2011-07-14 Suhas Gangadharaiah , Dmitrii L. Maslov

We develop a weak coupling approach to superconductivity in twisted bilayer graphene, starting from the Fermi liquid regime. A key observation is that near half filling, the fermiology consists of well nested Fermi pockets derived from…

Strongly Correlated Electrons · Physics 2022-01-25 Yi-Zhuang You , Ashvin Vishwanath

We study the properties of edge plasmons in two-component electron liquids in the presence of pseudomagnetic fields, which have opposite signs for the two different electronic populations and therefore preserve the time-reversal symmetry.…

Mesoscale and Nanoscale Physics · Physics 2016-11-09 Alessandro Principi , Mikhail I. Katsnelson , Giovanni Vignale

The experimental availability of ultra-high-mobility samples of graphene opens the possibility to realize and study experimentally the "hydrodynamic" regime of the electron liquid. In this regime the rate of electron-electron collisions is…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Alessandro Principi , Giovanni Vignale

We develop the complete theory for the collective plasmon modes of an interacting electron system in the presence of explicit mass (or velocity) anisotropy in the corresponding non-interacting situation, with the effective Fermi velocity…

Mesoscale and Nanoscale Physics · Physics 2021-01-27 Seongjin Ahn , S. Das Sarma

Collective modes in Fermi liquids are usually regarded as dissipation channels that relax electronic excitations through Landau damping. Whether such modes can instead mediate the formation of correlated electronic states under…

Plasmon and coupled plasmon-phonon modes in graphene are investigated the-oretically within the diagrammatic self-consistent field theory. It shows that two plasmon modes and four coupled plasmon-phonon modes can be excited via intra-and…

Mesoscale and Nanoscale Physics · Physics 2011-08-29 H. M. Dong , S. H. Zhang , W. Xu
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