Abu Naser Md. Zainuddin

Atomistic Non-equilibrium Green’s function approach for Graphene nano-ribbon structure in Quantum Hall regime

Atomistic Non-equilibrium Green’s Function Simulation of Graphene Nano-ribbons in the Quantum Hall Regime Roksana Golizadeh-Mojarad, ANM Zainuddin, and Gerhard Klimeck

Objective:

  • To simulate Quantum Hall plateaus of Graphene nano-ribbons

Approach:

  • Ballistic NEGF with nearest neighbor tight-binding model based on pz orbital basis
  • Magnetic field (B) is included in both contacts and the channel through Peirels substitution
  • Surface green’s function was calculated by Sancho-Rubio algorithm
  • Both Zigzag and Armchair edge ribbons were considered

Results

  • Hall conductance plateaus are coming at half-integer filling (per spin per valley)
  • B-field in the contact self-energies made its effect seamless from the channel to the contacts, there by helped to capture the effect of having large channel length
  • Simulating large dimensions is essential to keep the B-field with in the experimental limit (10-20T).

Impact/Insights:

  • Atomistic basis were essential to reproduce exact Quantum Hall plateaus

Publication
Download as .pdf or .ppt

Abu Naser Md. Zainuddin's Pages

Biography Atomistic Non-equilibrium Green’s function approach for Graphene nano-ribbon structure in Quantum Hall regime

Research Group

Members Alumni Visitors Pictures Prospective Students Member Access