Magnetic field influence on the discrete spectrum of locally deformed leaky wires

We consider magnetic Schr\"odinger operator $H=(i \nabla +A)^2-\alpha \delta_\Gamma$ with an attractive singular interaction supported by a piecewise smooth curve $\Gamma$ being local deformation of straight line. The field $B$ is supposed to be nonzero and local. show that the essential spectrum $[-\frac14\alpha^2,\infty)$, as for non-magnetic $\Gamma$, demonstrate sufficient condition discrete $H$ empty.