https://github.com/anjishnubose/tightbindingtoolkit.jl

Tools for general Tight Binding systems
https://github.com/anjishnubose/tightbindingtoolkit.jl

condensed-matter-physics conductivity julia-package lattice physics physics-simulation quantum-physics superconductors susceptibility tight-binding topology

Last synced: 7 months ago
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Tools for general Tight Binding systems

• Host: GitHub
• URL: https://github.com/anjishnubose/tightbindingtoolkit.jl
• Owner: Anjishnubose
• License: mit
• Created: 2023-04-12T19:41:49.000Z (about 3 years ago)
• Default Branch: main
• Last Pushed: 2024-04-04T15:56:45.000Z (about 2 years ago)
• Last Synced: 2025-10-21T11:57:44.361Z (7 months ago)
• Topics: condensed-matter-physics, conductivity, julia-package, lattice, physics, physics-simulation, quantum-physics, superconductors, susceptibility, tight-binding, topology
• Language: Julia
• Homepage: https://anjishnubose.github.io/TightBindingToolkit.jl/
• Size: 1.07 MB
• Stars: 20
• Watchers: 1
• Forks: 2
• Open Issues: 3
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

          
# TightBindingToolkit

[![Build Status](https://github.com/sreekar-voleti/TightBindingToolkit.jl/actions/workflows/CI.yml/badge.svg?branch=main)](https://github.com/sreekar-voleti/TightBindingToolkit.jl/actions/workflows/CI.yml?query=branch%3Amain)

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.

## Install

In the Julia REPL, Push "]" to enter the package mode.

```julia

add TightBindingToolkit

```

Or equivalently

```julia

using Pkg

Pkg.add("TightBindingToolkit")

```

## Features

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.

    |![Alt text](./docs/src/Figures/Honeycomb_123NN_UC.png)|

    |:--:| 

    |*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.

    |![Alt text](./docs/src/Figures/Triangle_123NN_bandStructure.png)|

    |:--:| 

    |*Band structure for a triangular lattice with 1st, 2nd and 3rd neighbour hopping.*|

* Density of State 

    |![Alt text](./docs/src/Figures/Graphene_DOS.png)|

    |:--:| 

    |*Density of state of graphene.*|

* Filling the model at given chemical potential, and calculating gaps. (v1.3) : also supported for BdG systems.

    |![Alt text](./docs/src/Figures/KitaevChain.png)|

    |:--:| 

    |*Band structure of the Kitaev Chain in 1-d.*|

* Fermi surfaces of systems

    |![Alt text](./docs/src/Figures/Triangle_123NN_FS.png)|

    |:--:| 

    |*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.

    |![Alt text](./docs/src/Figures/Haldane_Chern.png)|

    |:--:| 

    |*Chern numbers in a spin-ful Haldane model as a function of t2.*|

* Getting magnetic susceptibility in any direction, at any momentum, and energy.

    |![Alt text](./docs/src/Figures/Triangle_123NN_chi.png)|

    |:--:| 

    |*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](https://anjishnubose.github.io/TightBindingToolkit.jl/dev/)