Metal-Insulator Transition in the 2-D Hubbard Model: A Fermionic Linearization Approach

  • Arianna Montorsi
  • Mario Rasetti
Part of the NATO ASI Series book series (NSSB, volume 343)


We show that, by treating within the fermionic linearization scheme the hopping between adjacent 1-d chains, the free enegergy of the 2-d Hubbard model can be evaluated self-consistently as a function of an order parameter describing the intra-bond correlation. The self consistency equation for the latter, when solved explicitly using the exact equations for the 1-d chains, leads to the appearance of a phase transition, for finite values of the Coulomb repulsion strength U, which can be interpreted as a metal-insulator transition. There is some preliminary numerical evidence that the critical temperature is a non-analytic function of U.


Critical Temperature Hubbard Model Clifford Algebra Fermionic Creation Bond Order Parameter 
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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Arianna Montorsi
    • 1
  • Mario Rasetti
    • 2
  1. 1.Teory DivisionLos Alamos National LaboratoriesLos AlamosUSA
  2. 2.Dipartimento di Fisica and Unitá INFM del PolitecnicoTorinoItaly

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