On the Bloch Theorem Concerning Spontaneous Electric Current

Abstract

We study the Bloch theorem which states absence of the spontaneous current in interacting electron systems. This theorem is shown to be still applicable to the system with the magnetic field induced by the electric current. Application to the spontaneous surface current is also examined in detail. Our result excludes the possibility of the recently proposed $d$-wave superconductivity having the surface flow and finite total current.

12 pages, LaTeX, 3 Postscript figures

References in corpus (3)

• Fractional Vortices as Evidence of Time-Reversal Symmetry Breaking in High-Temperature Superconductors
• Proximity-induced time-reversal symmetry breaking at Josephson junctions between unconventional superconductors
• Rigorous upper bound for the persistent current in systems with toroidal geometry

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