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We present a microscopic theory for collective excitations of quantum anomalous Hall ferromagnets (QAHF) in twisted bilayer graphene. We calculate the spin magnon and valley magnon spectra by solving Bethe-Salpeter equations, and verify the…

Mesoscale and Nanoscale Physics · Physics 2020-02-03 Fengcheng Wu , Sankar Das Sarma

The tight-binding model is closely associated with the modified layer-based random-phase approximation to thoroughly investigate the electron-electron interactions in sliding bilayer graphene. The Coulomb interactions and intralayer and…

Mesoscale and Nanoscale Physics · Physics 2023-03-13 Chiun-Yan Lin , Ming-Fa Lin

The emergence of flat bands in twisted bilayer graphene leads to an enhancement of interaction effects, and thus to insulating and superconducting phases at low temperatures, even though the exact mechanism is still widely debated. The…

Strongly Correlated Electrons · Physics 2019-11-15 Tommaso Cea , Niels R. Walet , Francisco Guinea

Twisted bilayer graphene near integer fillings hosts correlated single-particle excitations whose dispersion and linewidth are increasingly accessible experimentally. We study these excitations using the topological heavy-fermion model,…

In a strongly correlated system, collective excitations contain key information regarding the electronic order of the underlying ground state. An abundance of collective modes in the spin and valley isospin channels of magic-angle graphene…

The pairing symmetry of an effective Hamiltonian for interacting fermions on a twisted bilayer graphene superlattice is studied with the determinant quantum Monte Carlo method. The model has the symmetry of a triangle lattice and a…

Strongly Correlated Electrons · Physics 2018-07-03 Huaiming Guo , Xingchuan Zhu , Shiping Feng , Richard T. Scalettar

We study the single-particle spectral function of resonantly-interacting fermions in the unitary regime, as described by the three-dimensional attractive Hubbard model in the dilute limit. Our approach, based on the Dynamical Cluster…

Quantum Gases · Physics 2013-05-29 Shi-Quan Su , Daniel E. Sheehy , Juana Moreno , Mark Jarrell

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…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 Zachary M. Raines , Vladimir I. Fal'ko , Leonid I. Glazman

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

We have theoretically studied the collective response properties of the two-dimensional chiral electron gas in bilayer graphene within the random phase approximation. The cooperation of external controlling factors like perpendicular…

Mesoscale and Nanoscale Physics · Physics 2013-09-13 Wen-Long You , Xue-Feng Wang

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

Single-layer and Bilayer of graphene are new classes of two-dimensional electron systems with unconventional band structures and valley degrees of freedom. The ground states and excitations in the integer and fractional quantum Hall regimes…

Strongly Correlated Electrons · Physics 2015-05-13 Naokazu Shibata , Kentaro Nomura

Among the variety of correlated states exhibited by twisted bilayer graphene, cascades in the spectroscopic properties and in the electronic compressibility occur over larger ranges of energy, twist angle and temperature compared to other…

Strongly Correlated Electrons · Physics 2023-08-29 Anushree Datta , M. J. Calderón , A. Camjayi , E. Bascones

Monte Carlo simulation of a 2+1 dimensional model of voltage-biased bilayer graphene, consisting of relativistic fermions with chemical potential mu coupled to charged excitations with opposite sign on each layer, has exposed non-canonical…

Strongly Correlated Electrons · Physics 2015-12-30 Wes Armour , Simon Hands , Costas Strouthos

We investigate the many-body instabilities of electrons interacting near Van Hove singularities arising in monolayer and twisted bilayer graphene. We show that a pairing instability must be dominant over the tendency to magnetic order as…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 J. Gonzalez

We have investigated the Coulomb screening properties and collective excitations in a graphene bilayer. The static screening effect is anisotropic and is much stronger in the undoped graphene bilayer than in a monolayer graphene [1]. The…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Xue-Feng Wang , Tapash Chakraborty

Graphene is a two-dimensional carbon material with a honeycomb lattice and Dirac-type low-energy spectrum. In a strong magnetic field, where Coulomb interactions dominate against disorder broadening, quantum Hall ferromagnetic states…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Naokazu Shibata , Kentaro Nomura

We propose an SU(4) spin-valley-fermion model to investigate the superconducting instabilities of twisted bilayer graphene (TBG). In this approach, bosonic fluctuations associated with an emergent SU(4) symmetry, corresponding to combined…

Superconductivity · Physics 2021-01-20 Yuxuan Wang , Jian Kang , Rafael M. Fernandes

Collective excitations in graphene monolayer are studied. Equations describing collective properties of electrons in graphene are obtained. The basic ideas of the method of many-particle quantum hydrodynamics are used for the derivation. As…

Mesoscale and Nanoscale Physics · Physics 2012-09-20 Pavel A. Andreev

Plasmon are collective oscillations of mobile electrons with dynamics controlled by their charge stiffness("Drude weight"). Using terahertz spacetime metrology, we probe Plasmon dynamics of mono- and bi-layer graphene. In both systems, the…

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