scholarly journals Quantized Alternate Current on Curved Graphene

2019 ◽  
Vol 4 (2) ◽  
pp. 39 ◽  
Author(s):  
Kyriakos Flouris ◽  
Sauro Succi ◽  
Hans J. Herrmann
Keyword(s):  
Lattice Boltzmann ◽  
Quantum Information Processing ◽  
Alternate Current ◽  
Real Space ◽  
Graphene Sheets ◽  
Curved Space ◽  
Berry Curvature ◽  
Space Curvature ◽  
Processing Algorithms ◽  
Boltzmann Method

Based on the numerical solution of the Quantum Lattice Boltzmann Method in curved space, we predicted the onset of a quantized alternating current on curved graphene sheets. This numerical prediction was verified analytically via a set of semi-classical equations that related the Berry curvature to real space curvature. The proposed quantized oscillating current on curved graphene could form the basis for the implementation of quantum information-processing algorithms.

scholarly journals Landau levels in wrinkled and rippled graphene sheets

2019 ◽  
Vol 30 (10) ◽  
pp. 1941006
Author(s):  
Kyriakos Flouris ◽  
Miller Mendoza Jimenez ◽  
Hans J. Herrmann
Keyword(s):  
Lattice Boltzmann ◽  
Energy Levels ◽  
Landau Levels ◽  
Graphene Sheets ◽  
Discrete Energy ◽  
Curved Manifolds ◽  
Average Deformation ◽  
Energy Quantum ◽  
Boltzmann Method ◽  
Realistic Geometries

We study the discrete energy spectrum of curved graphene sheets in the presence of a magnetic field. The shifting of the Landau levels is determined for complex and realistic geometries of curved graphene sheets. The energy levels follow a similar square root dependence on the energy quantum number as for rippled and flat graphene sheets. The Landau levels are shifted towards lower energies proportionally to the average deformation and the effect is larger compared to a simple uni-axially rippled geometry. Furthermore, the resistivity of wrinkled graphene sheets is calculated for different average space curvatures and shown to obey a linear relation. The study is carried out with a quantum lattice Boltzmann method, solving the Dirac equation on curved manifolds.

INVESTIGATING THE PERMEABILITY–POROSITY RELATION OF PERCOLATION-BASED POROUS MEDIA USING THE LATTICE BOLTZMANN METHOD

2017 ◽  
Vol 20 (10) ◽  
pp. 899-919 ◽  
Author(s):  
Sajjad Foroughi ◽  
Mohsen Masihi ◽  
Saeid Jamshidi ◽  
Mahmoud Reza Pishvaie
Keyword(s):  
Porous Media ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Boltzmann Method
Sign in / Sign up

Export Citation Format

Share Document