Abstract
Based on Ginzburg-Landau theory, we study the thermoelectric effect of two-band superconducting ring of inductance L with a microbridge structure. The phase difference of two order parameters in the ring satisfies the sine-Gordon equation, and from its soliton solution and the Josephson current-phase relation in the two-band microbridge, we obtain the analytical expression of the generated magnetic flux as a function of applied temperature gradient. Our results show that in the regime LIc > Φ0/2π with Ic the critical supercurrent in the microbridge and Φ0 = h/2e, this single-junction system will exhibit the irreversible behavior and the induced fractional flux transition can be easily observed in the typical two-band superconductor MgB2.
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