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We study analytically and numerically dynamics and eigenstates of two electrons with Coulomb repulsion on a tight-binding lattice in one and two dimensions. The total energy and momentum of electrons are conserved and we show that for a…

Superconductivity · Physics 2020-06-18 Klaus M. Frahm , Dima L. Shepelyansky

We review the theoretical and experimental results connected with the electron states in two-dimensional Dirac systems paying a special attention to the atomic collapse in graphene. Two-electron bound states of a Coulomb impurity are…

Strongly Correlated Electrons · Physics 2018-06-15 E. V. Gorbar , V. P. Gusynin , O. O. Sobol

The in-plane DC conductivity of twisted bilayer graphene (TBLG) is calculated using an expansion of the real-space Kubo-Bastin conductivity in terms of Chebyshev polynomials. We investigate within a tight-binding (TB) approach the transport…

Mesoscale and Nanoscale Physics · Physics 2018-03-28 M. Anđelković , L. Covaci , F. M. Peeters

We present measurements of Coulomb drag in an ambipolar GaAs/AlGaAs double quantum well structure that can be configured as both an electron-hole bilayer and a hole-hole bilayer, with an insulating barrier of only 10 nm between the two…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 B. Zheng , A. F. Croxall , J. Waldie , K. Das Gupta , F. Sfigakis , I. Farrer , H. E. Beere , D. A. Ritchie

We analyze the inelastic electron-electron scattering in undoped graphene within the Keldysh diagrammatic approach. We demonstrate that finite temperature strongly affects the screening properties of graphene, which, in turn, influences the…

Strongly Correlated Electrons · Physics 2011-06-27 M. Schuett , P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

I suggest to use the effect of Coulomb drag between two closely positioned graphite monolayers (graphene sheets) for experimental measurement of the strength of weak non-linearities of the spectrum in graphene. I consider trigonal warping…

Mesoscale and Nanoscale Physics · Physics 2016-01-11 B. N. Narozhny

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

We study conductance across a twisted bilayer graphene coupled to single-layer graphene leads in two setups: a flake of graphene on top of an infinite graphene ribbon and two overlapping semi-infinite graphene ribbons. We find conductance…

Mesoscale and Nanoscale Physics · Physics 2020-07-30 Hadi Z. Olyaei , Bruno Amorim , Pedro Ribeiro , Eduardo V. Castro

We theoretically predict instability of a zero-dc-current state of the two-dimensional electron system formed on the surface of liquid helium induced by the cyclotron resonance (CR). This conclusion follows from the theoretical analysis of…

Mesoscale and Nanoscale Physics · Physics 2015-05-25 Yuriy P. Monarkha

One special interest for the industrial development of Hall thruster is characterizing the anomalous cross-field electron transport observed after the channel exit. Since the ionization efficiency is more than 90%, the neutral atom density…

Plasma Physics · Physics 2019-07-22 Debraj Mandal , Yves Elskens , Nicolas Lemoine , Fabrice Doveil

Measurement and theory of the two-terminal conductance of monolayer and bilayer graphene in the quantum Hall regime are compared. We examine features of conductance as a function of gate voltage that allow monolayer, bilayer, and gapped…

Mesoscale and Nanoscale Physics · Physics 2009-07-24 J. R. Williams , D. A. Abanin , L. DiCarlo , L. S. Levitov , C. M. Marcus

The dynamical conductivity of interacting multiband electronic systems derived in Ref.[1] is shown to be consistent with the general form of the Ward identity. Using the semiphenomenological form of this conductivity formula, we have…

Mesoscale and Nanoscale Physics · Physics 2015-01-09 I. Kupcic

We investigate the effect of on-site Coulomb repulsion $U$ on the band gap of the electrically gated bilayer graphene by employing coherent potential approximation in the paramagnetic state, based on an ionic two-layer Hubbard model. We…

Strongly Correlated Electrons · Physics 2016-03-17 Jin-Rong Xu , Ze-Yi Song , Hai-Qing Lin , Yu-Zhong Zhang

Two-dimensional (2D) heterointerfaces often provide extraordinary carrier transport as exemplified by superconductivity or excitonic superfluidity. Recently, double-layer graphene separated by few-layered boron nitride demonstrated the…

Mesoscale and Nanoscale Physics · Physics 2017-11-01 Youngjo Jin , Min-Kyu Joo , Byoung Hee Moon , Hyun Kim , Sanghyup Lee , Hye Yun Jeong , Hyo Yeol Kwak , Young Hee Lee

An electronic current driven through a conductor can induce a current in another conductor through the famous Coulomb drag effect. Similar phenomena have been reported at the interface between a moving fluid and a conductor, but their…

Mesoscale and Nanoscale Physics · Physics 2024-03-27 Baptiste Coquinot , Lydéric Bocquet , Nikita Kavokine

The stability of a flow of an electrically conducting, incompressible fluid in a channel with an imposed uniform wall-normal magnetic field and electrically insulating walls is studied using linear stability analysis and direct numerical…

Fluid Dynamics · Physics 2025-12-23 Roman Okatev , Oleg Zikanov , Dmitry Krasnov , Peter Frick

Heating of carriers in an intrinsic graphene under dc electric field is considered taking into account the intraband energy relaxation due to acoustic phonon scattering and the interband generation-recombination transitions due to thermal…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 O. G. Balev , F. T. Vasko , V. Ryzhii

In Coulomb drag, a current flowing in one conductor can induce a voltage across an adjacent conductor via the Coulomb interaction. The mechanisms yielding drag effects are not always understood, even though drag effects are sufficiently…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 A. J. Keller , J. S. Lim , David Sánchez , Rosa López , S. Amasha , J. A. Katine , Hadas Shtrikman , D. Goldhaber-Gordon

In this work we study magnetotransport properties in electronic double layers of strongly correlated electron liquids. For sufficiently clean high-mobility samples, the high-temperature regime of transport in these systems can be described…

Mesoscale and Nanoscale Physics · Physics 2019-09-11 S. S. Apostolov , D. A. Pesin , A. Levchenko

We report on the observation of Coulomb drag between graphene-hexagonal boron nitride (hBN) moir\'{e} heterostructure with a moir\'{e} wavelength of $\sim$14 nm and an intrinsic graphene with a lattice constant of $\sim$0.25 nm. By tuning…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Yueyang Wang , Hongxia Xue , Xiong Wang , Kenji Watanabe , Takashi Taniguchi , Dong-Keun Ki