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A few simple treatments to illustrate the properties of the hubbard model

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A few simple treatments of the Hubbard model

Here I present code to develop the solutions for treatments of the Hubbard model, inluding:

  • t=0, single-site approximation
  • exact diagonalization for a 1x2 lattice
  • exact diagonalization for a 2x2 lattice

Both of the exact diagonalization codes assume half-filling and an equal number of spin up and spin down particles. The 2x2 code can be generalized for 3D lattices of arbitrary sites lxmxn, however not a lot of testing has been performed for systems above 1x2x2.

Contributors

This software was written by Pedro M. Duarte

License

The MIT License (MIT)

Copyright (c) [2014] [Pedro M Duarte]

Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.

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