Abstract
The dynamic shot noise in a molecular quantum dot connected to two non-collinear ferromagnetic terminals under the perturbation of ac fields has been investigated by the nonequilibrium Green’s function approach. The formulas of current, current correlation, and shot noise have been presented in the weak electron-phonon (el-ph) interaction regime to address the cooperated behaviors generated by the photon and phonon perturbation. The photon and phonon perturbations induce quite different current correlations, and the noise suppression occurs unambiguously by increasing the phonon energy in the valley regime. The suppression of shot noise comes from drawing the unbalanced current correlation towards the balanced one, where coherent current correlation takes major role. The suppression of photon-assisted shot noise can be completed mainly by rotating polarization angle of the terminals, and increasing the phonon energy ħω 0. The Fano factor is enhanced considerably by the el-ph interaction, and it is also enhanced by increasing the polarization angle from θ = 0 to θ = π.
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V. Langlais, R.R. Schlittler, H. Tang, A. Gourdon, C. Joachim, J.K. Gimzewski, Phys. Rev. Lett. 83, 2809 (1999)
J. Chen, M.A. Reed, A.M. Rawlett, J.M. Tour, Science 286, 1550 (1999)
H. Park et al., Nature 407, 57 (2000)
J. Park et al., Nature 417, 722 (2002)
R. Smit et al., Nature 419, 906 (2002)
X. Xiao, B. Xu, N. Tao, Nano Lett. 4, 267 (2004)
M. del Valle, R. Gutierrez, C. Tejedor, G. Cuniberti, Nat. Nanotechnol. 2, 176 (2007)
E. Lörtscher, H.B. Weber, H. Riel, Phys. Rev. Lett. 98, 176807 (2007)
S. Sapmaz, P. Jarillo-Herrero, Ya.M. Blanter, C. Dekker, H.S.J. van der Zant, Phys. Rev. Lett. 96, 026801 (2006)
J. Koch, F. von Oppen, A.V. Andreev, Phys. Rev. B 74, 205438 (2006)
J.X. Zhu, A.V. Balatsky, Phys. Rev. B 67, 165326 (2003)
Y.S. Liu, H. Chen, X.H. Fan, X.F. Yang, Phys. Rev. B 73, 115310 (2006)
Z.Z. Chen, R. Lü, B.F. Zhu, Phys. Rev. B 71, 165324 (2005)
Q.F. Sun, X.C. Xie, Phys. Rev. B 75, 155306 (2007)
R. Egger, A.O. Gogolin, Phys. Rev. B 77, 113405 (2008)
N.S. Wingreen, K.W. Jacobsen, J.W. Wilkins, Phys. Rev. Lett. 61, 1396 (1988)
N.S. Wingreen, K.W. Jacobsen, J.W. Wilkins, Phys. Rev. B 40, 11834 (1989)
J. Ren, J.X. Zhu, J.E. Gubernatis, C. Wang, B. Li, Phys. Rev. B 85, 155443 (2012)
M. Imrana, Eur. Phys. J. B 86, 16 (2013)
A. Martin-Rodero, A.L. Yeyati, F. Flores, R.C. Monreal, Phys. Rev. B 78, 235112 (2008)
R.S. Souto, A.L. Yeyati, A. Martin-Rodero, R.C. Monreal, Phys. Rev. B 89, 085412 (2014)
L.S. Levitov, M. Reznikov, Phys. Rev. B 70, 115305 (2004)
A. Komnik, A.O. Gogolin, Phys. Rev. Lett. 94, 216601 (2005)
T.L. Schmidt, A. Komnik, Phys. Rev. B 80, 041307(R) (2009)
S. Maier, T.L. Schmidt, A. Komnik, Phys. Rev. B 83, 085401 (2011)
B. Dong, G.H. Ding, X.L. Lei, Phys. Rev. B 88, 075414 (2013)
Y. Utsumi, O. Entin-Wohlman, A. Ueda, A. Aharony, Phys. Rev. B 87, 115407 (2013)
L.K. Dash, H. Ness, R.W. Godby, Phys. Rev. B 84, 085433 (2011)
C.L. Kane, M.P.A. Fisher, Phys. Rev. Lett. 72, 724 (1994)
R. de-Picciotto, M. Reznikov, M. Heiblum, V. Umansky, G. Bunin, D. Mahalu, Nature 389, 162 (1997)
L. Saminadayar, D.C. Glattli, Y. Jin, B. Etienne, Phys. Rev. Lett. 79, 2526 (1997)
M. Reznikov, R. de Picciotto, T.G. Griffiths, M. Heiblum, V. Umansky, Nature 399, 238 (1999)
F. Lefloch, C. Hoffmann, M. Sanquer, D. Quirion, Phys. Rev. Lett. 90, 067002 (2003)
Y.C. Chung, M. Heiblum, V. Umansky, Phys. Rev. Lett. 91, 216804 (2003)
M. Dolev, M. Heiblum, V. Umansky, A. Stern, D. Mahalu, Nature 452, 829 (2008)
M. Büttiker, Phys. Rev. Lett. 65, 2901 (1990)
C.W.J. Beenakker, M. Büttiker, Phys. Rev. B 46, 1889 (1992)
Ya. M. Blanter, M. Büttiker, Phys. Rep. 336, 1 (2000)
S. Kohler, J. Lehmann, P. Hänggi, Phys. Rep. 406, 379 (2005)
Yu.V. Nazarov, Ann. Phys. 8, SI-193 (1999)
Yu.V. Nazarov, in Quantum Noise in Mesoscopic Physics, edited by Yu.V. Nazarov (Springer, Berlin, 2003)
Y. Wei, B. Wang, J. Wang, H. Guo, Phys. Rev. B 60, 16900 (1999)
D. Li, L. Zhang, F. Xu, J. Wang, Phys. Rev. B 85, 165402 (2012)
M. Galperin, A. Nitzan M.A. Ratner, Phys. Rev. B 74, 075326 (2006)
F. Haupt, T. Novotný, W. Belzig, Phys. Rev. Lett. 103, 136601 (2009)
F. Haupt, T. Novotný, W. Belzig, Phys. Rev. B 82, 165441 (2010)
S. Kim, Phys. Rev. B 89, 035413 (2014)
M. Kumar, R. Avriller, A.L. Yeyati, J.M. van Ruitenbeek, Phys. Rev. Lett. 108, 146602 (2012)
M. Wagner, Phys. Rev. Lett. 76, 4010 (1996)
C.E. Creffield, G. Platero, Phys. Rev. B 69, 165312 (2004)
G. Platero, R. Aguado, Phys. Rep. 395, 1 (2004)
M.H. Pedersen, M. Büttiker, Phys. Rev. B 58, 12993 (1998)
G.B. Lesovik, L.S. Levitov, Phys. Rev. Lett. 72, 538 (1994)
T.K. Ng, Phys. Rev. Lett. 76, 487 (1996)
Q.F. Sun, J. Wang, T.H. Lin, Phys. Rev. B 61, 13032 (2000)
Z.S. Ma, Y. Zhu, X.Q. Li, T.H. Lin, Z.B. Su, Phys. Rev. B 69, 045302 (2004)
H.K. Zhao, Phys. Rev. B 63, 205327 (2001)
H.K. Zhao, J. Wang, Phys. Rev. B 74, 245401 (2006)
H.K. Zhao, Q. Chen, Eur. Phys. J. B 55, 419 (2007)
Q. Chen, H.K. Zhao, Europhys. Lett. 82, 68004 (2008)
H.K. Zhao, L.L. Zhao, Europhys. Lett. 93, 28004 (2011)
H.K. Zhao, L.L. Zhao, Eur. Phys. J. B 79, 485 (2011)
H.K. Zhao, L.L. Zhao, J. Wang, Eur. Phys. J. B 77, 441 (2010)
N. Sergueev, Q.F. Sun, H. Guo, B.G. Wang, J. Wang, Phys. Rev. B 65, 165303 (2002)
Z.G. Zhu, G. Su, Q.R. Zheng, B. Jin, Phys. Rev. B 70, 174403 (2004)
H.F. Mu, G. Su, Q.R. Zheng, Phys. Rev. B 73, 054414 (2006)
G.D. Mahan, Many-Particle Physics (Plenum, New York, 2000)
A.P. Jauho, N.S. Wingreen, Y. Meir, Phys. Rev. B 50, 5528 (1994)
S. Datta, Electronic Transport in Mesoscopic Systems (Cambridge University Press, 1995)
T.K. Ng, Phys. Rev. Lett. 76, 487 (1996)
M. Galperin, A. Nitzan, M.A. Ratner, Phys. Rev. B 76, 035301 (2007)
M.A. Ochoa, M. Galperin, M.A. Ratner, J. Phys.: Condens. Matter 26, 455301 (2014)
T.H. Park, M. Galperin, Phys. Rev. B 84, 205450 (2011)
U. Lundin, R.H. Mckenzie, Phys. Rev. B 66, 075303 (2002)
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Zou, WK., Zhao, HK. Photon and phonon-assisted shot noise in a molecular quantum-dot-ferromagnetic system in the Coulomb blockade regime. Eur. Phys. J. B 88, 210 (2015). https://doi.org/10.1140/epjb/e2015-60102-x
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DOI: https://doi.org/10.1140/epjb/e2015-60102-x