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Binding energy of a Cooper pairs with non-zero center of mass momentum in d-wave superconductors

机译:d波超导体中库珀对与非零质心动量的结合能

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The binding energy of Cooper pairs has been calculated for the case of d-wave symmetry of the superconducting gap in layered cuprate superconductors. We assume that Cooper pairs are formed by the short range potential and then derive the binding energy in the form Delta _{{mathbf{kq}}} = Delta _x ({mathbf{q}})cos k_x a + Delta _y ({mathbf{q}})cos k_y a + Omega _x ({mathbf{q}})sin k_x a + Omega _y ({mathbf{q}})sin k_y a, where q is a totalmomentumof the pair. Numerical solutions of the self-consistent system of the integral equations for quantities Delta _x ({mathbf{q}}) , Delta _y ({mathbf{q}})and Omega _x ({mathbf{q}}), Omega _y ({mathbf{q}})along different lines in qx, qy plane have been obtained. Anisotropy of the depairing total momentum (or depairing current) has been calculated.
机译:对于层状铜酸盐超导体中超导间隙的d波对称性,已经计算了库珀对的结合能。我们假设库珀对是由短距离电势形成的,然后以 Delta _ {{ mathbf {kq}}} = Delta _x({ mathbf {q}}) cos k_x a的形式导出结合能。 + Delta _y({ mathbf {q}}) cos k_y a + Omega _x({ mathbf {q}}) sin k_x a + Omega _y({ mathbf {q}}) sin k_y a,其中q是该对的总动量。量 Delta _x({ mathbf {q}}), Delta _y({ mathbf {q}})和Ω_x({ mathbf {q})的积分方程自洽系统的数值解}), Omega _y({ mathbf {q}})以及qx,qy平面中的不同线已获得。已计算出使总动量(或总电流)消失的各向异性。

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