Abstract

The stability of large bipolarons in the presence of a static magnetic field is investigated on the basis of Feynman's path-integral approach (although the region of validity of the Jensen-Feynman inequality remains to be investigated for bipolarons). We find that the magnetic field (characterized by the cyclotron frequency ω c ) favors bipolaron formation: (i) the critical electron-phonon coupling parameter α c (above which the bipolaron is stable) decreases with increasing ω c and (ii) the critical Coulomb repulsion strenght U c (below which the bipolaron is stable) increases with increasing ω c . The binding energy and the corresponding variational parameters are calculated as a function of α, U and ω c .

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