Abstract
We have developed a scattering matrix approach to coherent transport through an adiabatically driven conductor based on photon-assisted processes. To describe the energy exchange with the pumping filds we expand the Floquet scattering matrix up to linear order in driving frequency.
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References
M. Switkes, C.M. Marcus, K. Campman et al: Science 283, 1905 (1999)
M. Büttiker, H. Thomas, A. Prětre: Z. Phys. B 94, 133 (1994)
P.W. Brouwer: Phys. Rev. B 58, R10135 1998)
D. Cohen: Phys. Rev. B 68, 201303 (2003)
D.J. Thouless: Phys. Rev. B 27, 6083 (1983)
B. Spivak, F. Zhou, M.T. Beal Monod: Phys. Rev. B 51, 13226 (1995)
I.L. Aleiner, A.V. Andreev: Phys. Rev. Lett. 81, 1286 (1998)
F. Zhou, B. Spivak, B. Altshuler: Phys. Rev. Lett. 82, 608 (1999)
J.E. Avron, A. Elgart, G.M. Graf et al: Phys. Rev. B 62, R10618 (2000)
J.E. Avron, A. Elgart, G.M. Graf et al: J. Stat. Phys. 116, 425 (2004)
B. Wang, J. Wang, H. Guo: Phys. Rev. B 65, 073306 (2002)
M. Moskalets, M. Büttiker: Phys. Rev. B 66, 035306 (2002)
M. Moskalets, M. Büttiker: Phys. Rev. B 66, 205320 (2002)
M.L. Polianski, P.W. Brouwer: Phys. Rev. B 64, 075304 (2001)
M.G. Vavilov, L. DiCarlo, C.M. Marcus: Phys. Rev. B 71, 241309 (2005)
M. Moskalets, M. Büttiker: Phys. Rev. B 69, 205316 (2004)
P. Samuelsson, M. Büttiker: Phys. Rev. B 71, 245317 (2005)
C.W.J. Beenakker, M. Titov, B. Trauzettel: Phys. Rev. Lett. 94, 186804 (2005)
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© 2006 Springer
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Büttiker, M., Moskalets, M. (2006). Scattering Theory of Dynamic Electrical Transport. In: Asch, J., Joye, A. (eds) Mathematical Physics of Quantum Mechanics. Lecture Notes in Physics, vol 690. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-34273-7_5
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DOI: https://doi.org/10.1007/3-540-34273-7_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-31026-6
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