Magnetic Properties of the Charged Anderson-Brinkman-Morel State: Absence of H c1

Abstract

Magnetic properties of the charged Anderson-Brinkman-Morel (ABM) state are investigated theoretically as a special case of time-reversal-symmetry- breaking (T-symmetry breaking) superconductivity, the possibility of which is discussed in heavy-fermion and high T c superconductors [l]-[6]. In the ABM state there are two sources of current: the one from the supercurrent j s(r) and that from the moment l(r) due to the internal motion of Cooper pairs. In zero external field, the field h m(r) from l(r) is screened almost completely by j s(r), as expected, with l(r) changing gradually towards the surface and j s(r) flowing over the bulk. This means that the system as a whole is a nonsingular vortex. As for the magnetization process, the lattice of nonsingular vortices grows from the infinitesimal external field without H c1, subsequently followed by the first-order transition to the lattice with singular cores. Finally, the transition to the normal state occurs at H c 2 which is enhanced over that of the conventional type-II superconductor due to the field l.KeywordsExternal FieldCooper PairInternal MotionLower Free EnergyMagnetization ProcessThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.