
TightBindingToolbox.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. It is an updated version of the TightBindingToolkit.jl
Install
In the Julia REPL, Push “]” to enter the package mode.
Or equivalently
using Pkg
Pkg.add("TightBindingToolbox")
Features
Currently supported :
- Custom Unit Cell Construction. (v1.3) : now also supports construction in dimensions up to $d=3$. Can change primitives, or expand unit cell on the go.
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|Honeycomb Model with 1st, 2nd and 3rd neighbour hoppings.|
- Corresponding Brillouin Zone Construction. (v1.3) : now also supports construction in dimensions up to $d=3$.
- 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.
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|Band structure for a triangular lattice with 1st, 2nd and 3rd neighbour hopping.|
- Density of State
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|Density of state of graphene.|
- Filling the model at given chemical potential, and calculating gaps. (v1.3) : also supported for BdG systems.
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|Band structure of the Kitaev Chain in 1-d.|
- Fermi surfaces of systems
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|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.
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|Chern numbers in a spin-ful Haldane model as a function of t2.|
- Getting magnetic susceptibility in any direction, at any momentum, and energy.
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|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)
Documentation
For more details, please see Documentation