A Novel Theory for High Temperature Superconductors considering Inhomogeneous Charge Distributions

Details A Novel Theory for High Temperature Superconductors considering Inhomogeneous Charge Distributions A Novel Theory for High Temperature Superconductors considering Inhomogeneous Charge Distributions

2001-10-22

arxiv.org/abs/cond-mat/0110479v1

Physics

Condensed Matter

Superconductivity

4 pages, 3 figure

Scientific paper

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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