1.1. About Kwant

Kwant is a free (open source) Python package for numerical calculations on tight-binding models with a strong focus on quantum transport. It is designed to be flexible and easy to use. Thanks to the use of innovative algorithms, Kwant is often faster than other available codes, even those entirely written in the low level FORTRAN and C/C++ languages.

Tight-binding models can describe a vast variety of systems and phenomena in quantum physics. Therefore, Kwant can be used to simulate

  • metals,
  • graphene,
  • topological insulators,
  • quantum Hall effect,
  • superconductivity,
  • spintronics,
  • molecular electronics,
  • any combination of the above, and many other things.

Kwant can calculate

  • transport properties (conductance, noise, scattering matrix),
  • dispersion relations,
  • modes,
  • wave functions,
  • various Green’s functions,
  • out-of-equilibrium local quantities.

Other computations involving tight-binding Hamiltonians can be implemented easily.

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1. Preliminaries

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1.2. What’s new in Kwant

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