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Coulomb screening and collective excitations in a graphene bilayer
Xue-Feng Wang, Tapash Chakraborty
We have investigated the Coulomb screening properties and collective excitations in a graphene bilayer. The static screening effect is anisotropic and is much stronger in the undop…
Collective Excitations of Dirac Electrons in Graphene
Vadim Apalkov, Xue-Feng Wang, Tapash Chakraborty
Two-dimensional electrons in graphene are known to behave as massless fermions with Dirac-Weyl type linear dispersion near the Dirac crossing points. We have investigated the colle…
The Fock-Darwin States of Dirac Electrons in Graphene-based Artificial Atoms
Hong-Yi Chen, Vadim Apalkov, Tapash Chakraborty
We have investigated the Fock-Darwin states of the massless chiral fermions confined in a graphitic parabolic quantum dot. In the light of the Klein tunneling, we have analyzed the…
Spin-Orbit Coupling and Tunneling Current in a Parabolic Quantum Dot
Hong-Yi Chen, Vadim Apalkov, Tapash Chakraborty
We propose a novel approach to explore the properties of a quantum dot in the presence of the spin-orbit interaction and in a tilted magnetic field. The spin-orbit coupling within…
The Fractional Quantum Hall States of Dirac Electrons in Graphene
Vadim M. Apalkov, Tapash Chakraborty
We have investigated the fractional quantum Hall states for the Dirac electrons in a graphene layer in different Landau levels. The relativistic nature of the energy dispersion rel…
Collective excitations of Dirac electrons in a graphene layer with spin-orbit interaction
X. F. Wang, Tapash Chakraborty
Coulomb screening and excitation spectra of electrons in a graphene layer with spin-orbit interaction (SOI) is studied in the random phase approximation. The SOI opens a gap betwee…