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A quantum-dot system is a typical low-dimensional system, and previous researches showed that its thermoelectric conversion efficiency can be markedy improved due to its unique physical properties. In this poper, we choose the parallel double-quantum-dot structure and discuss the influence of the electron-phonon interaction on the thermoelectric-related parameters, i.e., the electric conductance, thermopower, the figure of merit, and thermal conductance, by using the nonequilibrium Green's function method. Our theoretical calculation results show that under the condition of low temperature, the occurrence of the Fano interference can assist to enhance the thermoelectric effect. When the electron-phonon interaction is taken into account, it can suppress the electric and thermal conductances to a certain extent because of its negative effect on the Fano interterence. However, we readily find that apparently the strengthening of the electron-phonon interaction cannot suppress the maximum of the thermopower. Instead, in some regions, the thermopower has an opportunity to enhance due to the appearance of a new channel caused by the electron-phonon interaction. Meanwhile, the figure of merit is found to cause similar effects to the thermopower. Therefore, in the case of low temperature, the electron-phonon interaction contributes little to the destruction of the thermoelectric effect, namely, it is not the necessary condition for the suppression of the thermoelectric effect. With the increase of temperature, the negative effect of the electron-phonon interaction on the Fano interference becomes relatively distinct, which inevitably weakens the thermoelectric effect. Results of this paper will help to clarify the influence of electron-phonon interaction on the thermoelectric effect.
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Keywords:
- quantum dot /
- electron-phonon interaction /
- fano effect /
- thermoelectric effect
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[1] Dubi Y, Ventra M D 2011 Rev. Mod. Phys. 83 131
[2] Agrait N, Untiedt C, Bollinger G R, Vieira S 2002 Phys. Rev. Lett. 88 216803
[3] Appleyard N, Nicholls J T, Pepper M, Tribe W R, Simmons M Y, Ritchie D A 2000 Phys. Rev. B 62 16275
[4] Kubala B, König J, Pekola J 2008 Phys. Rev. Lett. 100 066801
[5] Harman T C, Taylor P J, Walsh M P, LaForge B E 2002 Science 297 2229
[6] Kim T S, Hershfield S 2002 Phys. Rev. Lett. 88 136601
[7] Reddy P, Jang S Y, Segalman R A, Majumdar A 2007 Science 315 1568
[8] Kuo D M T, Chang Y C 2010 Phys. Rev. B 81 205321
[9] Chen X S, Buhmaim H, Molenkamp L W 2000 Phys. Rev. B 61 16801
[10] Chi F, Zheng J, Lu X D, Zhang K C 2011 Phys. Lett. A 375 1352
[11] Wu L J, Han Y, Gong W J, Tan T Y 2011 Acta Phys. Sin. 60 107303 (in Chinese) [吴丽君, 韩宇, 公卫江, 谭天亚 2011 60 107303]
[12] Zianni X 2007 Phy. Rev. B 75 045344
[13] Wang R Q, Sheng L, Shen R, Wang B, Xing D Y 2010 Phys. Rev. Lett. 105 057202
[14] Uchida K, Takahashi S, Harii K, Ieda J, Koshibae W, Ando K, Maekawa S, Saitoh E 2008 Nature 455 778
[15] Hatami M, Bauer G E W, Zhang Q, Kelly P J 2007 Phys. Rev. Lett. 99 066603
[16] Chen C Y, Lin D L, Jin P W, Zhang S Q 1994 Phys. Rev. B 49 13680
[17] Luo K, Wang F Q, Liang R S, Ren Z Z 2014 Chin. Phys. B 23 107103
[18] Zhang A M, Zhang Q M 2013 Chin. Phys. B 22 087103
[19] Dmitriy V, Melnikov, Beall Fowler W 2001 Phy. Rev. B 63 165302
[20] Weig E M, Blick R H, Brandes T, Kirschbaum J, Wegscheider W, Bichler M, Kotthaus J P 2004 Phy. Rev. Lett. 92 46804
[21] Park H, Park J, Lim A K L, Anderson E H, Alivisatos A P, McEuen P L 2000 Nature 40 757
[22] Li J J, Zhu K D 2009 Appl. Phys. Lett. 94 063116
[23] Akiko U, Mikio E 2006 Phys. Rev. B 73 235353
[24] Kuo D M T, Chang Y C 2002 Phys. Rev. B 66 085311
[25] Zhu J X, Balatsky A V 2003 Phys. Rev. B 67 165326
[26] Liu Y S, Chen H, Fan X H, Yang X F 2006 Phys. Rev. B 73 115310
[27] Song J T, Sun Q F, Jiang H, Xie X C 2008 Phys. Rev. B 77 035309
[28] Marcos H Degani, Gil A Farias 1990 Phys. Rev. B 42 11950
[29] Roca E, Trallero-Giner C, Gardona M 1994 Phys. Rev. B 49 13704
[30] Kazunori O, Koji A, Mistsuru M 1999 Phys. Rev. B 59 110850
[31] Chen Z Z, L R, Zhu B F 2005 Phy. Rev. B 71 165324
[32] Stephanie M R, Matti M 2002 Rev. Mod. Phys. 74 1283
[33] Van der Wiel W G, De Franceschi S, Elzerman J M, Fujisawa T, Tarucha S, Kouwenhoven L P 2003 Rev. Mod. Phys. 75 1
[34] Hanson R, Kouwenhoven L P, Petta J R, Tarucha S, Vandersypen L M K 2007 Rev. Mod. Phys. 79 1217
[35] Melniko D V, Beall F W 2001 Phys. Rev. B 64 245320
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