A Novel Theory for High Temperature Superconductors considering Inhomogeneous Charge Distributions

E. V. L. de Mello; E. S. Caixeiro; J. L. Gonzaléz

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A Novel Theory for High Temperature Superconductors considering Inhomogeneous Charge Distributions

E. V. L. de Mello·E. S. Caixeiro·J. L. Gonzaléz

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Abstract

We present a percolation theory for the high-$T_c$ oxides pseudogap and $T_c$ dependence on the hole level. The doping dependent inhomogeneous charge structure is modeled by a distribution which may represent the stripe morphology and yield a spatial distribution of local $T_c(r)$. The temperature onset of spatial dependent superconducting gap is identified with the vanishing of the pseudogap temperature $T^*$. The transition to a superconducting state corresponds to the percolation threshold among regions of different $T_c$. As a paradigm we use a Hubbard Hamiltonian with a mean field approximation to yield a doping and temperature dependent superconducting d-wave gap. We show here that this new approach reproduces the phase diagram, explains and gives new insights on several experimental features of high-$T_c$ oxides.

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E. V. L. de Mello, E. S. Caixeiro, J. L. Gonzaléz. 2001-10-22. A Novel Theory for High Temperature Superconductors considering Inhomogeneous Charge Distributions. https://arxiv.org/abs/cond-mat/0110479

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