We reinterpret the Hubbard model in terms of doubly occupied sites and empty sites with an attractive interaction U whose pairing leads to the Mott-Hubbard transition. We develop a mean-field theory for this pairing which in a triangular lattice at T=0 leads to a first-order transition from a spiral, incommensurate metal to a commensurate insulator at U\ensuremath{\simeq}5.27t where a charge gap (\ensuremath{\simeq}0.085t) opens up. We also discuss the effect of fluctuations.

Physical Review LettersFeb 1, 1990104 citations

Solid State Communications

Fluctuation-induced first-order transition in the Hubbard model

Mauricio D. Coutinho-Filho, M. L. Lyra, A. M. Nemirovsky

Published Jun 1, 1990• 7 citations

Publisher

DOI: 10.1016/0038-1098(90)90301-q

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{B}_{1g}

(${d}_{{x}^{2}\ensuremath{-}{y}^{2}}$) and

{B}_{2g}

(

{d}_{xy}

) pairing dominates in the absence of repulsive longer-range Coulomb interactions

{V}_{\mathrm{NN}}

, the latter induces pairing in other symmetry channels, including, e.g.,

{A}_{2g}

(

g

-wave), nodal

{A}_{1g}

(extended

s

-wave), or nodal

{E}_{u}

(

p

-wave) spin-triplet superconductivity. At the lowest temperatures, transition boundaries in the phase diagrams between symmetry-distinct spin-singlet orders generate complex time-reversal symmetry broken superpositions. By contrast, we find that boundaries between singlet and triplet regions are characterized by first-order transitions. Finally, motivated by recent photoemission experiments, we have determined the influence of an additional explicitly attractive nearest-neighbor interaction,

{V}_{\mathrm{NN}}<0

, on the superconducting gap structure. Depending on the electronic filling, such an attraction boosts

{E}_{u}

(

p

-wave) spin-triplet or

{B}_{1g}

(${d}_{{x}^{2}\ensuremath{-}{y}^{2}}$) spin-singlet ordering.