Electron scattering in the monolayer graphene with a band-asymmetric annular potential well

Ktitorov, S. A.; Firsova, N. E.

doi:10.1134/s1063783411020132

Cited by 3 publications

(2 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Let us consider now the case of the potential model supported by the annual well continuing the investigation began in [6]. This model is more realistic, than the delta shell.…”

Section: Calculation Of Resistance In Case Of the Model Supported By ...mentioning

confidence: 99%

Extraction of the short-range defect potential parameters from available experimental data on the graphene resistance

Firsova

Ktitorov

2019

Fullerenes, Nanotubes and Carbon Nanostructures

View full text Add to dashboard Cite

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 electrons in suspended samples without chemical doping. As far as practical absence of the doping impurities in this case makes the Coulomb scattering negligible, we consider models of the short-range scattering potentials.The model of short-range potential is assumed to be supported by the close vicinity of the ring or the circumference of a circle. The diameter of circles is supposed to be of the order of the crystal lattice spacing. The empty core of the model potential guarantees the suppression of nonphysical shortwave modes.Two models are investigated: the delta function on the circumference of a circle (delta shell) and the annual well. An advantage of the former is simplicity, while a virtue of the latter is regularity. We consider scattering of electrons by these potentials and obtain exact explicit formulae for the scattering data. We here discuss application of these formulae for calculation of observables. Namely, we analyze the contribution of this scattering into the graphene resistance and plot the resistivity as a function of the Fermi energy according to our theoretical formulae.The obtained results are consistent with experiment, where the resistance was measured as a function of the Fermi momentum on the suspended annealed graphene. This fact gives a possibility to find parameters of the modeled potential on the base of the available experimental data on resistance of the suspended graphene sample with the gate voltage controlled Fermi level position. It is clear to be very important for applications.

show abstract

“…Let us consider now the case of the potential model supported by the annual well continuing the investigation began in [6]. This model is more realistic, than the delta shell.…”

Section: Calculation Of Resistance In Case Of the Model Supported By ...mentioning

confidence: 99%

Extraction of the short-range defect potential parameters from available experimental data on the graphene resistance

Firsova

Ktitorov

2019

Fullerenes, Nanotubes and Carbon Nanostructures

View full text Add to dashboard Cite

show abstract

“…In this regard, an important question, as yet only partly explored, remains whether quasi -one dimensional graphene systems support exclusively Dirac -Weyl massless or constant -mass Dirac fermions, or they can induce relativistic quantum field behaviors that require the consideration of position -dependent mass term [7]. The mass jump case was firstly consider in [8] for the spherical defects in the III − V semiconductors and then in [9,10,11] for cylindrically symmetric defects in graphene, where the presence of the mass jump was traced back to the graphene sublattice symmetry violation, which is natural but for a short range defect. Using the Dirac -Weyl equation, the break -down of the sublattice symmetry (the equivalence of the two triangular lattices in graphene) can be described in terms of the effective mass that can be position -dependent.…”

Section: Introductionmentioning

confidence: 99%

Self-adjoint Dirac type Hamiltonians in one space dimension with a mass jump

González-Díaz¹,

Diaz²,

Díaz-Solórzano³

et al. 2015

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

Physical self-adjoint extensions and their spectra of the one-dimensional Dirac type Hamiltonian operator in which both the mass and velocity are constant except for a finite jump at one point of the real axis are correctly found. Different boundary conditions on envelope wave functions are studied, and the limiting case of equal masses (with no mass jump) is reviewed. Transport across one-dimensional heterostructures described by the Dirac equation is considered.

show abstract

Electron states in single-layer graphene containing short-range defects: The potential separable in the momentum representation

2011

View full text Add to dashboard Cite

Electron scattering in the monolayer graphene with a band-asymmetric annular potential well

Cited by 3 publications

References 8 publications

Extraction of the short-range defect potential parameters from available experimental data on the graphene resistance

Extraction of the short-range defect potential parameters from available experimental data on the graphene resistance

Self-adjoint Dirac type Hamiltonians in one space dimension with a mass jump

Electron states in single-layer graphene containing short-range defects: The potential separable in the momentum representation

Contact Info

Product

Resources

About