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The wave equation describing the interaction of two electrons in graphene at arbitrary value of the Fermi energy $E_F$ is derived. For the solutions of this equation, we have found the explicit forms of the density and the current which…

Mesoscale and Nanoscale Physics · Physics 2019-02-22 A. I. Milstein , I. S. Terekhov

Interactions between charge carriers in graphene lead to logarithmic renormalization of observables mimicking the behavior known in (3+1)-dimensional quantum electrodynamics (QED). Here we analyze soft electron-hole (e-h) excitations…

Mesoscale and Nanoscale Physics · Physics 2018-03-21 Cyprian Lewandowski , L. S. Levitov

Electrons in the mono-layer atomic sheet of graphene have a long coherence length of the order of micrometers. We will show that this coherence is transmitted into the vacuum via electric field assisted electron emission from the graphene…

Mesoscale and Nanoscale Physics · Physics 2012-09-05 Zhibing Li , Ningsheng Xu , H. J. Kreuzer

The coherent charge transport through an illuminated graphene ribbon is studied as function of electronic doping, frequency and strength of the electromagnetic driving, for monochromatic circularly polarized light. We focus on the DC…

Mesoscale and Nanoscale Physics · Physics 2017-12-13 Jonathan Atteia , Jens. H. Bardarson , Jérome Cayssol

Twisted double bilayer graphene is a compensated semi-metal near the charge neutrality point with the presence of small electron and hole pockets in its band structure. We show that strong Coulomb attraction between the electrons and holes…

Strongly Correlated Electrons · Physics 2023-07-26 Unmesh Ghorai , Ayan Ghosh , Anindya Das , Rajdeep Sensarma

It is commonly assumed that photocurrent in two-dimensional systems with centrosymmetric lattice is generated at structural inhomogenities, such as p-n junctions. Here, we study an alternative mechanism of photocurrent generation associated…

Mesoscale and Nanoscale Physics · Physics 2021-11-01 Vladimir Silkin , Dmitry Svintsov

Electronic energy-eigen-states of graphene in an orthogonal electromagnetic field with relative magnitude beta=E/vf*B>=1 or in a pure electric field are obtained by a differential-equation method. Gaussian wave packets of probability…

Mesoscale and Nanoscale Physics · Physics 2013-05-06 Ji Luo

The state with a spontaneous interlayer phase coherence in a graphene based bilayer quantum Hall system is studied. This state can be considered as a gas of superfluid electron-hole pairs with the components of the pair belonging to…

Superconductivity · Physics 2009-12-23 D. V. Fil , L. Yu. Kravchenko

The quantum behavior of electrons in bilayer graphene with applied magnetic fields is addressed. By using second-order supersymmetric quantum mechanics the problem is transformed into two intertwined one dimensional stationary Schr\"odinger…

Mathematical Physics · Physics 2020-10-28 David J Fernández C , Juan D García M , Daniel O-Campa

By using Boltzmann formalism, we show that carrier multiplication by impact ionization can take place at relatively low electric fields during electronic transport in graphene. Because of the absence of energy gap, this effect is not…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Anuj Girdhar , Jean-Pierre Leburton

In this paper we consider the interaction of electrons in bilayer graphene with a constant homogeneous magnetic field which is orthogonal to the bilayer surface. Departing from the energy eigenstates of the effective Hamiltonian, the…

Quantum Physics · Physics 2020-07-07 David J. Fernández C. , Dennis I. Martínez-Moreno

When graphene is exposed to a strong few-cycle optical field, a directional electric current can be induced depending on the carrier-envelope phase of the field. This phenomenon has successfully been explained by the charge dynamics in…

In this paper we have studied the problem of scalar particles pair creation by a constant electric field in the presence of a minimal length. A closed expression for the corresponding Green's function is obtained via path integral approach.…

General Relativity and Quantum Cosmology · Physics 2022-08-26 M. Bouali , S. Haouat

We measure electronic transport through point contacts in the high-mobility electron gas in a Ga[Al]As heterostructure at different temperatures and bulk electron densities. The conductance through all point contacts increases with…

Mesoscale and Nanoscale Physics · Physics 2021-06-03 Lev V. Ginzburg , Carolin Gold , Marc P. Röösli , Christian Reichl , Matthias Berl , Werner Wegscheider , Thomas Ihn , Klaus Ensslin

We demonstrate a tunneling and rectification behavior in bilayer graphene. A stepped dielectric top gate creates a spatially modulated electric field, which opens the band gap in the graphene and produces an insulating region at the p-n…

Mesoscale and Nanoscale Physics · Physics 2011-12-19 Hisao Miyazaki , Michael Lee , Song-Lin Li , Hidefumi Hiura , Kazuhito Tsukagoshi , Akinobu Kanda

We study the pair production, string breaking, and hadronization of a receding electron-positron pair using the bosonized version of the massive Schwinger model in quantum electrodynamics in 1+1 space-time dimensions. Specifically, we study…

High Energy Physics - Theory · Physics 2024-09-02 Laura Batini , Lara Kuhn , Jürgen Berges , Stefan Floerchinger

We theoretically study the THz-induced high-order harmonic generation (HHG) and nonlinear electric transport in graphene based on the quantum master equation with the relaxation time approximation. To obtain microscopic insight into the…

Mesoscale and Nanoscale Physics · Physics 2022-08-02 Wenwen Mao , Angel Rubio , Shunsuke A. Sato

We consider coherent dynamics of graphene charged carriers exposed to an intense few-cycle linearly polarized laser pulse. The results, obtained by solving the generalized semiconductor Bloch equations numerically in the Hartree-Fock…

Based on the quantum master equation approach, the nonlinear electric conductivity of graphene is investigated under static electric fields for various chemical potential shifts. The simulation results show that, as the field strength…

Mesoscale and Nanoscale Physics · Physics 2021-12-03 Shunsuke A. Sato , Angel Rubio

Pair-creation of charged particles in a strong gauge-field background - the renowned Schwinger effect - can strongly alter the efficiency of gauge-field production during axion inflation. It is therefore crucial to have a clear…

High Energy Physics - Phenomenology · Physics 2025-04-14 Richard von Eckardstein , Kai Schmitz , Oleksandr Sobol