TY - JOUR

T1 - Mott transition in the two-dimensional Hubbard model

AU - Pérez-Navarro, A.

AU - Costa-Quintana, J.

AU - López-Aguilar, F.

PY - 2000/1/1

Y1 - 2000/1/1

N2 - We are interested in the description of the Mott-Hubbard transition from a perturbation theory arising from a two-dimensional Hubbard model. We calculate the self-energy within the random phase approximation and a double-Lorentzian as a non-interacting density of states. The paramagnetic ground state is unstable for realistic values of U, since the self-energy presents some inconsistencies; one of them is that its imaginary part presents more than one zero, which is a violation of the Luttinger theorem. We use a Bogolyubov transformation and within a spin density wave mean field, the antiferromagnetic correlations of wave vector Q = (π/a,π/a) are included. We recalculate the self-energy in the new ground state and then it is able to describe the Mott-Hubbard transition, and the Luttinger theorem is satisfied.

AB - We are interested in the description of the Mott-Hubbard transition from a perturbation theory arising from a two-dimensional Hubbard model. We calculate the self-energy within the random phase approximation and a double-Lorentzian as a non-interacting density of states. The paramagnetic ground state is unstable for realistic values of U, since the self-energy presents some inconsistencies; one of them is that its imaginary part presents more than one zero, which is a violation of the Luttinger theorem. We use a Bogolyubov transformation and within a spin density wave mean field, the antiferromagnetic correlations of wave vector Q = (π/a,π/a) are included. We recalculate the self-energy in the new ground state and then it is able to describe the Mott-Hubbard transition, and the Luttinger theorem is satisfied.

U2 - 10.1002/(SICI)1521-3951(200002)217:2<869::AID-PSSB869>3.0.CO;2-M

DO - 10.1002/(SICI)1521-3951(200002)217:2<869::AID-PSSB869>3.0.CO;2-M

M3 - Article

SN - 0370-1972

VL - 217

SP - 869

EP - 886

JO - Physica Status Solidi (B): Basic Research

JF - Physica Status Solidi (B): Basic Research

IS - 2

ER -