We investigate the transition to the insulating state in the one-dimensional Hubbard model with bond-charge interaction x (Hirsch model), at half-filling and T=0. By means of the density-matrix renormalization group algorithm the charge gap closure is examined by both standard finite-size scaling analysis and looking at singularities in the derivatives of single-site entanglement. The results of the two techniques show that a quantum phase transition takes place at a finite Coulomb interaction uc(x) for x≳0.5. The region 0<u<uc turns out to have a superconducting nature, at least for not too large x>xc.

Single-site entanglement at the superconductor-insulator transition in the Hirsch model / Anfossi, ALBERTO FRANCESCO; CRISTIAN DEGLI ESPOSTI, Boschi; Montorsi, Arianna; Fabio, Ortolani. - In: PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS. - ISSN 1098-0121. - 73:8(2006), p. 085113. [10.1103/PhysRevB.73.085113]

Single-site entanglement at the superconductor-insulator transition in the Hirsch model

ANFOSSI, ALBERTO FRANCESCO;MONTORSI, Arianna;
2006

Abstract

We investigate the transition to the insulating state in the one-dimensional Hubbard model with bond-charge interaction x (Hirsch model), at half-filling and T=0. By means of the density-matrix renormalization group algorithm the charge gap closure is examined by both standard finite-size scaling analysis and looking at singularities in the derivatives of single-site entanglement. The results of the two techniques show that a quantum phase transition takes place at a finite Coulomb interaction uc(x) for x≳0.5. The region 0xc.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/1632221
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