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We investigate the two-dimensional magnetic Schr\"odinger operator$H_{B,\beta}=(-i\nabla-A)^2 -\beta\delta(\cdot-\Gamma)$, where $\Gamma$ is asmooth loop and the vector potential $A$ corresponds to a homogeneous magneticfield $B$ perpendicular to the plane. The asymptotics of negative eigenvaluesof $H_{B,\beta}$ for $\beta\to\infty$ is found. It shows, in particular, thatfor large enough positive $\beta$ the system exhibits persistent currents.Comment: LaTeX 2e, 13 page

Persistent currents for the 2D Schrödinger operator with a strong δ-interaction on a loop