arXiv:cond-mat/0203508 · Physical review. B, Condensed matter

Transition to an insulating phase induced by attractive interactions in the disordered three-dimensional Hubbard model

Bhargavi Srinivasan, Giuliano Benenti, Dima L. Shepelyansky

Published Nov 13, 2002• 14 citations

Abstract

We study numerically the interplay of disorder and attractive interactions for spin-1/2 fermions in the three-dimensional Hubbard model. The results obtained by projector quantum Monte Carlo simulations show that at moderate disorder, increasing the attractive interaction leads to a transition from delocalized superconducting states to the insulating phase of localized pairs. This transition takes place well within the metallic phase of the single-particle Anderson model.

DOI: 10.1103/physrevb.66.172506

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arXiv:cond-mat/0203508 · Physical review. B, Condensed matter

Transition to an insulating phase induced by attractive interactions in the disordered three-dimensional Hubbard model

Bhargavi Srinivasan, Giuliano Benenti, Dima L. Shepelyansky

Published Nov 13, 2002• 14 citations

arXiv HTML PDF

Abstract

DOI: 10.1103/physrevb.66.172506

Related papers

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We investigate the disorder-driven superconductor to insulator quantum phase transition (SIT) in an interacting fermion model using determinantal quantum Monte Carlo (QMC) methods. The disordered superconductor is modeled by an attractive Hubbard model with site disorder chosen randomly from a uniform distribution. The superconducting state which exists for small disorder is shown to evolve into an insulating phase beyond a critical disorder. The transition is tracked by the vanishing of (a) the superfluid stiffness, and (b) the charge stiffness or the delta function peak in the optical conductivity at zero frequency. We also show the behavior of the charge, spin, pair, and current correlations in the presence of disorder. Results for the temperature dependence of the dc conductivity, obtained by an approximate analytic continuation technique, are also presented both in the metallic phase above ${T}_{c}$ and the insulating phase. We discuss some of the complications in extracting the resistance at the transition point.We investigate the disorder-driven superconductor to insulator quantum phase transition (SIT) in an interacting fermion model using determinantal quantum Monte Carlo (QMC) methods. The disordered superconductor is modeled by an attractive Hubbard model with site disorder chosen randomly from a uniform distribution. The superconducting state which exists for small disorder is shown to evolve into an insulating phase beyond a critical disorder. The transition is tracked by the vanishing of (a) the superfluid stiffness, and (b) the charge stiffness or the delta function peak in the optical conductivity at zero frequency. We also show the behavior of the charge, spin, pair, and current correlations in the presence of disorder. Results for the temperature dependence of the dc conductivity, obtained by an approximate analytic continuation technique, are also presented both in the metallic phase above ${T}_{c}$ and the insulating phase. We discuss some of the complications in extracting the resistance at the transition point.

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{T}_{c}

and the insulating phase. We discuss some of the complications in extracting the resistance at the transition point.

{N}_{p}

and

{N}_{p}+1

particles. The difference in these charge densities allows us to study the localization properties of an added particle. The results obtained at quarter filling on finite clusters show that the Hubbard repulsion has a strong delocalizing effect on the electrons in disordered two-dimensional lattices. However, numerical restrictions do not allow us to reach a definite conclusion about the existence of a metal-insulator transition in the thermodynamic limit in two dimensions.

{W}_{c}

required to localize the fermion pairs and destroy superconductivity is finite at any interaction strength

U

and is proportional to the superconducting weight

{D}_{s}

of the clean system. Using large-scale density matrix renormalization group computations, we show that this transition is of the Berezinskii-Kosterlitz-Thouless form. In addition, even at very small interaction strength, the localization is not due to single-fermion localization but to pair localization. For completeness, we briefly study this disorder-induced localization with mean field theory and show that

{W}_{c}

can be accurately determined by using an appropriate scaling function.

XY

universality class. We also explore the character of the lowest-energy charge excitations in the insulating and superconducting phases and show that they can be fermionic or bosonic depending on the parameters chosen.