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Electron scattering in the monolayer graphene with short-range impurities modelled by the annular well with a band-asymmetric potential has been considered. Band-asymmetry of the potential resulted in the mass (gap) perturbation in the…

介观与纳米尺度物理 · 物理学 2010-02-23 Natalie E. Firsova , Sergey A. Ktitorov

The electron scattering by the short-range defects in the monolayer graphene is considered in the framework of the flatland model. We analyze the effect of this scattering on the electronic resistivity of the monolayer graphene (direct…

介观与纳米尺度物理 · 物理学 2018-10-10 N Firsova , S Ktitorov

Bound electron states in impure graphene are considered. Short-range perturbations for defect and impurities of the types "local chemical potential" and "local gap" are taken into account.

介观与纳米尺度物理 · 物理学 2009-11-13 Natalie E. Firsova , Sergey A. Ktitorov , Philip A. Pogorelov

The derived by us earlier electron scattering matrix for the short-range defects in monolayer graphene is applyed to description of the resistivity electron density dependence. It is argued that large charged defect density is unlikely in…

介观与纳米尺度物理 · 物理学 2011-11-04 Natalie E. Firsova , Sergey A. Ktitorov

We discuss various scattering mechanisms for Dirac fermions in single-layer graphene. It is shown that scattering on a short-range potential (due to, for example, neutral impurities) is mostly irrelevant for electronic quality of graphene,…

介观与纳米尺度物理 · 物理学 2007-12-06 M. I. Katsnelson , A. K. Geim

We analyze the scattering sector of the Hamiltonians for both gapless and gapped graphene in the presence of a charge impurity using the 2D Dirac equation, which is applicable in the long wavelength limit. We show that for certain range of…

介观与纳米尺度物理 · 物理学 2011-04-07 Kumar S. Gupta , Andjelo Samsarov , Siddhartha Sen

Electron scattering problem in the monolayer graphene with short-range impurities is considered. The main novel element in the suggested model is the band asymmetry of the defect potential in the 2+1-dimensional Dirac equation. This…

介观与纳米尺度物理 · 物理学 2013-05-29 Natalie E. Firsova

Bound and resonance electronic states in impure graphene are studied. Short-range perturbations for defects and impurities of the types "local chemical potential" and "local gap" are taken into account. Zero gap and non-zero gap kinds of…

介观与纳米尺度物理 · 物理学 2009-05-25 Natalie E. Firsova , Sergey A. Ktitorov , Philip A. Pogorelov

Resonant scattering of electrons with low energies (as compared to the bandwidth) on a single neutral short-range impurity in graphene is analyzed theoretically, taking into account the valley degeneracy. Resonances dramatically increase…

材料科学 · 物理学 2009-11-13 D. M. Basko

The influence of electron-electron scattering on the distribution function and transport characteristics of intrinsic monolayer graphene is investigated via an ensemble Monte Carlo simulation. Due to the linear dispersion relation in the…

介观与纳米尺度物理 · 物理学 2010-05-18 X. Li , E. A. Barry , J. M. Zavada , M. Buongiorno Nardelli , K. W. Kim

We have carried out scanning tunneling spectroscopy measurements on exfoliated monolayer graphene on SiO$_2$ to probe the correlation between its electronic and structural properties. Maps of the local density of states are characterized by…

介观与纳米尺度物理 · 物理学 2009-05-19 A. Deshpande , W. Bao , F. Miao , C. N. Lau , B. J. LeRoy

We study the scattering of Dirac electrons of circular graphene quantum dot with mass-inverted subject to electrostatic potential. The obtained solutions of the energy spectrum are used to determine the scattering coefficients at the…

介观与纳米尺度物理 · 物理学 2022-08-10 Fatima Belokda , Ahmed Jellal , El Houssine Atmani

We study the electron propagation in a circular electrostatically defined quantum dot in graphene. Solving the scattering problem for a plane Dirac electron wave we identify different scattering regimes depending on the radius and potential…

介观与纳米尺度物理 · 物理学 2015-07-17 C. Schulz , R. L. Heinisch , H. Fehske

We consider a problem of obtaining information about the scattering potentials of the monolayer graphene sample using available experimental data on its resistance. We have in mind a development of the study describing super-high mobility…

介观与纳米尺度物理 · 物理学 2019-07-26 N. E. Firsova. S. A. Ktitorov

We study electron scattering in graphene quantum dots (GQDs) under the combined influence of a magnetic field, an energy gap, and circularly polarized laser irradiation. Using the Floquet approach and the Dirac equation, we derive the…

介观与纳米尺度物理 · 物理学 2025-01-30 Ahmed Bouhlal , Mohammed El Azar , Aotmane En Naciri , Elmustapha Feddi , Ahmed Jellal

We study the propagation of electrons in a circular quantum dot of gapped graphene subject to the magnetic flux $\phi$. We present analytical expressions for the eigenstates, scattering coefficients, scattering efficiency and radial…

介观与纳米尺度物理 · 物理学 2020-06-16 Bouchaib Lemaalem , Abdelhadi Belouad , Miloud Mekkaoui , Ahmed Jellal

It is shown that clustering of charged impurities on graphene can suppress their contribution to the resistivity by a large factor of about the number of impurities per cluster, while leaving the density dependence unchanged. If the cluster…

介观与纳米尺度物理 · 物理学 2009-05-25 M. I. Katsnelson , F. Guinea , A. K. Geim

Some properties of the electron-electron collision operator in graphene are analyzed along with the evaluation of collision rate. Monte Carlo simulations complete the study and highlight the non-negligible role of the electron-electron…

数学物理 · 物理学 2023-01-03 Giovanni Nastasi , Vittorio Romano

Recurrent representations for an electron transmission and reflection amplitudes for a one-dimensional chain are obtained. The linear differential equations for scattering amplitudes of an arbitrary potential are found.

凝聚态物理 · 物理学 2009-10-31 David M. Sedrakian , Ashot Zh. Khachatrian

A transfer matrix method is presented for solving the scattering problem for the quasi one-dimensional massless Dirac equation applied to graphene in the presence of an arbitrary inhomogeneous electric and perpendicular magnetic field. It…

介观与纳米尺度物理 · 物理学 2012-05-17 Sameer Grover , Sankalpa Ghosh , Manish Sharma
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