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要旨:
Probing electronic properties of periodic systems by arbitrary homogeneous magnetic fields has unraveled fundamental new phenomena in condensed matter physics. Much theoretical work has been devoted to describe those systems in different regimes, still a general first principles modeling of such fundamental effects is lacking. Here we propose a solution to the problem of Bloch electrons in a homogeneous magnetic field by including the quantum fluctuations of the photon field. A generalized quantum electrodynamical (QED) Bloch theory from first principles is presented. As an application we show how the well known Landau physics shows up in this framework and we derive quantum corrections to the Landau levels.