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 -