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2nd talk. The Mott transition

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Hubbard model. Kinetic and On-site interaction Energy<br />

Hopping<br />

saves energy t<br />

Kinetic energy<br />

Intra-orbital<br />

repulsion<br />

Double occupancy<br />

costs energy U<br />

Atomic lattice with a single orbital per site and average occupancy 1 (half filling)<br />

E<br />

Hopping restricted to first nearest neighbors: Electron-hole symmetry<br />

Tight-binding (hopping)<br />

Intra-orbital<br />

repulsion

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