Quantum transport for Bloch electrons in homogeneous time dependent electric fields |
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| Affiliation: | 1. Physics Department, Brooklyn College, C.U.N.Y. Brooklyn, New York 11210, USA;2. Electronics Technology and Devices Laboratory (LABCOM), Fort Monmouth, NJ 07703, USA;3. Electronics Technology and Devices Laboratory (LABCOM), Fort Monmouth, NJ 07703, USA;1. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Rd, Cambridge CB3 0WA, UK;2. Institute of Mathematics, Polish Academy of Sciences, 8 Śniadeckich Street, 00-656 Warsaw, Poland;3. Mathematical Institute, Andrew Wiles Building, University of Oxford, Radcliffe Observatory Quarter, Woodstock Rd, Oxford OX2 6GG, UK;4. Trinity College, University of Oxford, Broad Street, Oxford OX1 3BH, UK;1. ElectroScience Laboratory and Department of Electrical and Computer Engineering, The Ohio State University, Columbus, OH 43212, USA;2. Electrical and Computer Engineering Department, University of São Paulo, São Carlos, SP 13560-970, Brazil;1. ENAC, TELECOM-EMA, Université de Toulouse, France;2. Now with the Sino-European Institute of Aviation Engineering (SIAE), Civil Aviation University of China (CAUC), Tianjin, China;3. Now with the CAUC-ENAC joint Research Center of Applied Mathematics for Air Traffic Management, Civil Aviation University of China (CAUC), Tianjin, China |
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| Abstract: | Quantum Transport Equations for Bloch electrons interacting with randomly distributed impurities in the presence of a homogeneous electric field of arbitrary strength and time dependence are derived. The equations account for all possible quantum effects to lowest nonzero order in the scattering strength, including intra and interband scattering, interband Zener tunneling and non-linear transient transport, and contain effects previously not anticipated, such as coherent impurity scattering, and field and time dependent scattering matrix elements. |
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