TightBindingToolkit.jl is a Julia package meant for constructing, and obtaining useful properties of generic tight-binding models. It supports any lattice structure, with any user-defined bonds on that lattice. It also has support for any spin of the particle hopping on the lattice.
In the Julia REPL, Push "]" to enter the package mode.
add TightBindingToolkitOr equivalently
using Pkg
Pkg.add("TightBindingToolkit")Currently supported :
- Custom Unit Cell Construction. (v1.3) : now also supports construction in dimensions upto d=3. Can change primitives, or expand unit cell on the go.
Honeycomb Model with 1st, 2nd and 3rd neighbour hoppings. - Corresponding Brillouin Zone Construction. (v1.3) : now also supports construction in dimensions upto d=3.
- Hamiltonian, given a Unit Cell and a Brillouin Zone. (v1.3) : now also support BdG Hamiltonians.
- Diagonalizing the Hamiltonian in momentum space to get band structures and wavefunctions.
Band structure for a triangular lattice with 1st, 2nd and 3rd neighbour hopping. - Density of State
Density of state of graphene. - Filling the model at given chemical potential, and calculating gaps. (v1.3) : also supported for BdG systems.
Band structure of the Kitaev Chain in 1-d. - Fermi surfaces of systems
Fermi surface for a triangular lattice with 1st, 2nd and 3rd neighbour hopping. - Getting correlation functionsin momentum space and real space. (v1.3) : also supported for BdG systems.
- Getting Berry curvature and Chern numbers. Also workjs for topological superconductors.
Chern numbers in a spin-ful Haldane model as a function of t2. - Getting magnetic susceptibility in any direction, at any momentum, and energy.
imaginary part of zero-energy susceptibility for a triangular lattice with 1st, 2nd and 3rd neighbour hopping. - Real-sapce lattice construction with arbitrary boundary condition. (v2.1)
For more details, please see Documentation