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Quantum transport and the Wigner distribution function for Bloch electrons in spatially homogeneous electric and magnetic fields

Quantum transport and the Wigner distribution function for Bloch electrons in spatially homogeneous electric and magnetic fields

The theory of Bloch electron dynamics for carriers in homogeneous electric and magnetic fields of arbitrary time dependence is developed in the framework of the Liouville equation. The Wigner distribution function (WDF) is determined from the single-particle density matrix in the ballistic regime, i.e., collision effects are excluded. In the …