Approximate solution of variational wave functions for strongly correlated systems: Description of bound excitons in metals and insulators

Details Approximate solution of variational wave functions for strongly correlated systems: Description of bound excitons in metals and insulators Approximate solution of variational wave functions for strongly correlated systems: Description of bound excitons in metals and insulators

2010-08-06

arxiv.org/abs/1008.1272v2

Phys. Rev. B, vol. 82 article 115104 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

12 pages, 7 figures

Scientific paper

10.1103/PhysRevB.82.115104

An approximate solution scheme, similar to the Gutzwiller approximation, is presented for the Baeriswyl and the Baeriswyl-Gutzwiller variational wavefunctions. The phase diagram of the one-dimensional Hubbard model as a function of interaction strength and particle density is determined. For the Baeriswyl wavefunction a metal-insulator transition is found at half-filling, where the metallic phase ($UU_c$ phase displays a finite Fermi step, as well as double occupations originating from bound excitons. As the filling is changed away from half-filling bound excitons are supressed. For the Baeriswyl-Gutzwiller wavefunction at half-filling a metal-insulator transition between the correlated metallic and excitonic insulating state is found. Away from half-filling bound excitons are suppressed quicker than for the Baeriswyl wavefunction.

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