How to Simulate Electronic Properties of Nano Structures

Implement a tight-binding model to extract the energy–k diagram of armchair graphene nanoribbon. Build the unit-cell Hamiltonian by assigning geometric positions to atoms and analyze the band gap.

Build and populate a tight-binding Hamiltonian for a honeycomb nano structure, assign first and second nearest neighbor parameters and onsite energy, and extract the UK diagram from eigenvalues.

Assign geometric positions to atoms in a honeycomb lattice across unit cells using x and y arrays, apply shifts for neighboring units, and prepare plotting for Hamiltonian calculation.

Construct an eight-by-eight hamiltonian matrix for a central unit with left and right neighbors by mapping atom positions and distances, identifying first and second neighbors, and filling H0 accordingly.

Calculate Hamiltonian matrices by evaluating interatomic distances and nearest neighbors to fill H0, HL, and HR with hopping parameters; then compute HK, scale K, and obtain eigenvalues for UK diagram.

Compute the E-K diagram for a nanostructure using an 8x8 tight-binding Hamiltonian, extracting conduction and valence bands from eigenvalues to reveal the band gap.

Convert example code to an electronic simulator for armchair graphene nanoribbons of arbitrary width, using a tight-binding Hamiltonian to automate uk diagrams, band structures, and band gaps.

Develop a systematic code to extract electronic properties for zigzag carbon nanotubes, generating band structure and band gap by wrapping graphene ribbons and updating the Hamiltonian for bottom-top connectivity.

Explore a systematic simulator for zigzag carbon nanotubes to generate band structures and band gaps by updating the Hamiltonian with bottom-row atom shifts and hopping parameters.

Explore band gap tuning in armchair graphene nanoribbons and related antidot nanostructures by constructing Hamiltonians, calculating eigenvalues, and simulating electronic properties with defects to open and tailor band gaps.

Investigate band gap tuning via antidot topology in nanostructures, showing opening gaps and outlining code to define unit cells, remove atoms, update the Hamiltonian, and compute the band diagram.

Explore band gap tuning in nano structures by introducing antidots in a repeating unit cell and updating the Hamiltonian to reveal changes in the electronic band structure.