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Meissner effect and gauge invariance in anisotropic narrow-band Bloch-electron and hole-type superconductors

Susumu Misawa

DOI 10.1103/PhysRevB.49.6305 · Physical Review B

T1

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Abstract

Within the framework of the ladder-diagram approximation, the manifestly gauge-invariant expression for the static electromagnetic response kernel of the anisotropic narrow-band superconductor consisting of Bloch electrons is derived, on the basis of the charge-conserving current expression for them under the magnetic field. For the two-dimensional square lattice, the magnetic penetration depth λL(T) is calculated as a function of hole density nh and temperature T (<Tc). The resultant λL(0) has a symmetrical dependence on the hole and electron densities, and is almost unaffected by the anisotropy of the order parameter. The behavior of λL(T)/λL(0) as a function of T/Tc for the d-wave state substantially deviates from those for the extended and usual s-wave states for all T<Tc. The obtained results are compared with those of the effective hole- and electron-mass approximations.

Source-reported materials — not catalogue approval

FormulaReported Tc (K)Pressure (GPa)Type
La2CuO4

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—Pressure not reportedunknown

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