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Langer et al. 1969

Langer, W., M. Plischke, and D. Mattis, 1969: Existence of two phase transitions in Hubbard model. Phys. Rev. Lett., 23, 1448-1452, doi:10.1103/PhysRevLett.23.1448.

We solve the Hubbard model, for one electron per atom in a simple cubic structure, using one-particle Green's functions. We determine the accuracy of this calculation to be good by comparison with an exact solution by Lieb and Wu of a one-dimensional limiting case. When the Coulomb interaction U exceeds about 0.27 of the bandwidth in three dimensions we find there are two critical temperatures: TN, the Néel order-disorder transition temperature (∼U-1 at large U) and a higher critical temperature TM, at which the atoms lose all vestige of localized moments and at which the insulator-metal transition occurs (TM∼U at large U). For U less than 0.27 of the bandwidth only TM exists.

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BibTeX Citation

  author={Langer, W. and Plischke, M. and Mattis, D.},
  title={Existence of two phase transitions in Hubbard model},
  journal={Phys. Rev. Lett.},

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RIS Citation

ID  - la05300q
AU  - Langer, W.
AU  - Plischke, M.
AU  - Mattis, D.
PY  - 1969
TI  - Existence of two phase transitions in Hubbard model
JA  - Phys. Rev. Lett.
VL  - 23
SP  - 1448
EP  - 1452
DO  - 10.1103/PhysRevLett.23.1448
ER  -

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