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We extend the low-energy effective two-band Hamiltonian for electrons in bilayer graphene (E. McCann, V. I. Fal'ko, Phys. Rev. Lett. 96 (2006) 86805) to include a spatially dependent electrostatic potential. We find that this Hamiltonian…

Mesoscale and Nanoscale Physics · Physics 2010-01-12 C. J. Poole

Electron transport in bilayer graphene is studied by using a first principles analysis and theMonte Carlo simulation under conditions relevant to potential applications. While the intrinsic properties are found to be much less desirable in…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 X. Li , K. M. Borysenko , M. Buongiorno Nardelli , K. W. Kim

Microscopic nonlinear quantum theory of interaction of coherent electromagnetic radiation with gapped bilayer graphene is developed. The Liouville-von Neumann equation for the density matrix is solved numerically at the multiphoton…

Mesoscale and Nanoscale Physics · Physics 2019-05-21 H. K. Avetissian , A. K. Avetissian , A. G. Ghazaryan , Kh. V. Sedrakian , G. F. Mkrtchian

In conductors with a very small density of defects, electrons at low temperatures collide predominantly with the edges of a sample. Therefore, the ballistic regime of charge and heat transport is realized. The application of a perpendicular…

Mesoscale and Nanoscale Physics · Physics 2022-04-06 A. N. Afanasiev , P. S. Alekseev , A. A. Greshnov , M. A. Semina

We obtain the output and transfer characteristics of graphene field-effect transistors by using the charge-control model for the current, based on the solution of the Boltzmann equation in the field-dependent relaxation time approximation.…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Brett W. Scott , Jean-Pierre Leburton

We consider the pairing of electrons and holes due to their Coulomb attraction in two parallel, independently gated graphene layers, separated by a barrier. At weak coupling, there exist the BCS-like pair-condensed state. Despite the fact…

Strongly Correlated Electrons · Physics 2009-11-13 Yu. E. Lozovik , A. A. Sokolik

We provide a theory for electronic transitions induced by ultrashort electromagnetic pulses in two-dimensional artificial relativistic atoms which are created by a charged impurity in a gapped graphene monolayer. Using a non-perturbative…

Mesoscale and Nanoscale Physics · Physics 2024-06-20 Saparboy Rakhmanov , Reinhold Egger , Davron Matrasulov

Non-perturbative electron-positron pair creation (Schwinger effect) is studied based on the equal-time Wigner formalism in 1+1 dimensions. An ab initio calculation of the Schwinger effect in the presence of a simple space- and…

High Energy Physics - Phenomenology · Physics 2011-11-11 Florian Hebenstreit , Reinhard Alkofer , Holger Gies

The rise of graphene opens a new door to qubit implementation, as discussed in the recent proposal of valley pair qubits in double quantum dots of gapped graphene (Wu et al., arXiv: 1104.0443 [cond-mat.mes-hall]). The work here presents the…

Mesoscale and Nanoscale Physics · Physics 2011-07-05 G. Y. Wu , N. -Y. Lue , L. Chang

We evaluate the electronic transmission and conductance in bilayer graphene through a finite number of potential barriers. Further, we evaluate the dispersion relation in a bilayer graphene superlattice with a periodic potential applied to…

Mesoscale and Nanoscale Physics · Physics 2011-01-21 M. Barbier , P. Vasilopoulos , F. M. Peeters , J. Milton Pereira

We perform transport measurements on proximitized, ballistic, bilayer graphene Josephson junctions (BGJJs) in the intermediate-to-long junction regime ($L>\xi$). We measure the device's differential resistance as a function of bias current…

We propose a model of spin-polarized-current state for electrons in bilayer graphene. The model resolves the puzzles as revealed by experiments that (a) the energy gap $E_{\rm gap}$ of the insulating ground state at the charge neutrality…

Strongly Correlated Electrons · Physics 2014-05-14 Xin-Zhong Yan , C. S. Ting

We predict unusual (for non-relativistic quantum mechanics) electron states in graphene, which are localized within a finite-width potential barrier. The density of localized states in the sufficiently high and/or wide graphene barrier…

Mesoscale and Nanoscale Physics · Physics 2007-12-11 V. A. Yampol'skii , S. E. Savel'ev , Franco Nori

Bilayer graphene has the very interesting property of an energy gap tunable with the vertical electric field. We propose an analytical model for a bilayer-graphene field-effect transistor, suitable for exploring the design parameter space…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Martina Cheli , Gianluca Fiori , Giuseppe Iannaccone

Excitons, the bosonic quasiparticle emerging from Coulomb interaction between electrons and holes, will undergo a Bose-Einstein condensation(BEC) and transition into a superfluid state with global phase coherence at low temperatures. An…

We theoretically investigate the three-dimensional (3D) electron dynamics of graphene in real space under strong laser fields using time-dependent density functional theory (TDDFT). We successfully reproduce the reversal of current…

Mesoscale and Nanoscale Physics · Physics 2026-02-11 S. Li , M. Tani , A. Hashmi , K. L. Ishikawa

We study the the transport properties of multiterminal ballistic graphene samples, concentrating on the conductance matrix, fluctuations and cross-correlations. Far away from Dirac point, the current is carried mostly by propagating modes…

Mesoscale and Nanoscale Physics · Physics 2010-09-03 M. A. Laakso , T. T. Heikkilä

We present and discuss in detail practical techniques in formulating effective models to describe the dynamics of low-energy electrons in generic bilayer graphene. Starting from a tight-binding model using the $p_z$ orbital of carbon atoms…

Mesoscale and Nanoscale Physics · Physics 2022-05-26 H. Minh Lam , V. Nam Do

The effect of strain in graphene is usually modeled by a pseudo-magnetic vector potential which is, however, derived in the limit of small strain. In realistic cases deviations are expected in view of graphene's very high strain tolerance,…

Mesoscale and Nanoscale Physics · Physics 2014-01-27 D. Moldovan , M. Ramezani Masir , F. M. Peeters

First-principles calculations can accurately describe electron-phonon (e-ph) interactions and electronic transport in a wide range of materials, but are currently limited to unit cells with up to $\sim$100 atoms due to computational cost.…

Materials Science · Physics 2026-03-17 David J. Abramovitch , Marco Bernardi
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