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The hole-hole superconducting pairing in t-J model induced by the long-range spin-wave exchange

V. V. Flambaum·M. Yu. Kuchiev·O. P. Sushkov
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Abstract

Long-range $(r \sim p_F^{-1} \gg lattice \ spacing)$ spin-wave exchange produces a very strong pairing of the holes. The different symmetry solutions of BCS-type equation for the superconducting gap $Δ$ are found. The most strong pairing corresponds to $d$-wave symmetry. The physical reasons for the strong pairing are: 1)large velocity of the spin-wave, 2) a ``collapse'' effect in the attractive potential (-1/r^2) describing the interaction between two holes induced by spin-wave exchange. 3)strongly asymmetric hole dispersion. At concentration of the holes $δ\sim 0.01-0.3$ we get $Δ\sim T_c \sim ε_F$. At very low concentration of the holes the many-body wave function of the ground state decays into the product of two-hole bound states.

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V. V. Flambaum, M. Yu. Kuchiev, O. P. Sushkov. 1994-03-11. The hole-hole superconducting pairing in t-J model induced by the long-range spin-wave exchange. https://doi.org/10.1016/0921-4534(94)90081-7

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