The Hubbard Model — Introduction and Selected Rigorous Results

@inproceedings{Tasaki1998TheHM,
  title={The Hubbard Model — Introduction and Selected Rigorous Results},
  author={Hal Tasaki},
  year={1998}
}
The Hubbard model is a “highly oversimplified model” for electrons in a solid which interact with each other through extremely short ranged repulsive (Coulomb) interaction. The Hamiltonian of the Hubbard model consists of two pieces; Hhop which describes quantum mechanical hopping of electrons, and Hint which describes nonlinear repulsive interaction. Either Hhop or Hint alone is easy to analyze, and does not favor any specific order. But their sum H = Hhop + Hint is believed to exhibit various… CONTINUE READING