| CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
Prev
Next
|
|
|
Topological quantum-phase coherence in full counting statistics of transport electrons with two-body interaction |
| Guo Xiao-Fang (郭小芳)a, Xue Hai-Bin (薛海斌)b, Liang Jiu-Qing (梁九卿)a |
a Institute of Theoretical Physics and Department of Physics, Shanxi University, Taiyuan 030006, China;
b College of Physics and Optoelectronics, Taiyuan University of Technology, Taiyuan 030024, China |
|
|
|
|
Abstract The full counting statistics of electron transport through two parallel quantum dots with antiparallel magnetic fluxes is investigated as a probe to detect the topological quantum-phase coherence (TQPC), which results in the characteristic oscillation of the zero-frequency cumulants including the shot noise and skewness. We show explicitly the phase transition of cumulant spectrum-patterns induced by the topology change of electron path-loops while the pattern period, which depends only on the topology (or Chern number), is robust against the variation of Coulomb interaction and interdot coupling strengths. Most importantly we report for the first time on a new type of TQPC, which is generated by the two-particle interaction and does not exist in the single-particle wave function interference. Moreover, the accurately quantized peaks of Fano-factor spectrum, which characterize the super- and sub-Poissonian shot noises, are of fundamental importance in technical applications similar to the superconducting quantum interference device.
|
Received: 20 January 2014
Revised: 31 March 2014
Accepted manuscript online:
|
|
PACS:
|
73.23.-b
|
(Electronic transport in mesoscopic systems)
|
| |
03.65.Vf
|
(Phases: geometric; dynamic or topological)
|
| |
05.60.Gg
|
(Quantum transport)
|
| |
71.10.Pm
|
(Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.))
|
|
| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11075099. 11204203, and 11275118). |
Corresponding Authors:
Xue Hai-Bin, Liang Jiu-Qing
E-mail: xuehaibin@tyut.edu.cn;jqliang@sxu.edu.cn
|
Cite this article:
Guo Xiao-Fang (郭小芳), Xue Hai-Bin (薛海斌), Liang Jiu-Qing (梁九卿) Topological quantum-phase coherence in full counting statistics of transport electrons with two-body interaction 2014 Chin. Phys. B 23 087308
|
| [1] |
Lu W, Ji Z, Pfeier L, West K W and Rimberg A J 2003 Nature 423 422
|
| [2] |
Fujisawa T, Hayashi T, Hirayama Y, Cheong H D and Jeong Y H 2004 Appl. Phys. Lett. 84 2343
|
| [3] |
Gustavsson S, Leturcq R, Simovič B, Schleser R, Ihn T, Studerus P, Ensslin K, Driscoll D C and Gossard A C 2006 Phys. Rev. Lett. 96 076605
|
| [4] |
Fujisawa T, Hayashi T, Tomita R and Hirayama Y 2006 Science 312 1634
|
| [5] |
Djuric I, Dong B and Cui H L 2005 Appl. Phys. Lett. 87 032105
|
| [6] |
Aghassi J, Thielmann A, Hettler M H and Schön G 2006 Phys. Rev. B 73 195323
|
| [7] |
Kießlich G, Samuelsson P, Wacker A and Schöll E 2006 Phys. Rev. B 73 033312
|
| [8] |
Groth C W, Michaelis B and Beenakker C W J 2006 Phys. Rev. B 74 125315
|
| [9] |
Wang S K, Jiao H, Li F and Li X Q 2007 Phys. Rev. B 73 125416
|
| [10] |
Qin L and Guo Y 2008 J. Phys.: Condens. Matter 20 365206
|
| [11] |
Dong B, Lei X L and Horing N J M 2008 J. Appl. Phys. 104 033532
|
| [12] |
Urban D and König J 2009 Phys. Rev. B 79 165319
|
| [13] |
Lindebaum S, Urban D and König J 2009 Phys. Rev. B 79 245303
|
| [14] |
Flindt C, Fricke C, Hohls F, Novotný T, Netočný K, Brandes T and Haug R J 2009 Proc. Natl. Acad. Sci. USA 106 10116
|
| [15] |
Fricke C, Hohls F, Sethubalasubramanian N, Fricke L and Haug R J 2010 Appl. Phys. Lett. 96 202103
|
| [16] |
Luo J Y, Jiao H J, Shen Y, Cen G, He X L and Wang C 2011 J. Phys.: Condens. Matter 23
|
| [17] |
Luo J Y, Shen Y, He X L, Li X Q and Yan Y J 2011 Phys. Lett. A 376 59
|
| [18] |
Jin J S, Li X Q, Luo M and Yan Y J 2011 J. Appl. Phys. 109 053704
|
| [19] |
Ubbelohde N, Fricke C, Flindt C, Hohls F and Haug R J 2012 Nat. Commun. 3 612
|
| [20] |
Choi T, Ihn T, Schön S and Ensslin K 2012 Appl. Phys. Lett. 100 072110
|
| [21] |
Xue H B, Zhang Z X and Fei H M 2012 Eur. Phys. J. B 85 336
|
| [22] |
Komijani Y, Choi T, Nichele F, Ensslin K, Ihn T, Reuter D and Wieck A D 2013 Phys. Rev. B 88 035417
|
| [23] |
Fricke L, Wulf M, Kaestner B, Kashcheyevs V, Timoshenko J, Nazarov P, Hohls F, Mirovsky P, Mackrodt B, Dolata R, Weimann T, Pierz K and Schumacher H W 2013 Phys. Rev. Lett. 110 126803
|
| [24] |
Zhang H W, Xue H B and Nie Y H 2013 AIP Advances 3 102116
|
| [25] |
Xue H B 2013 Annals of Physics 339 208
|
| [26] |
Blanter Y M and Bütiker M 2000 Phys. Rep. 336 1
|
| [27] |
Nazarov Y V 2003 Quantum Noise in Mesoscopic Physics (Dordrecht: Kluwer) pp. 1-20
|
| [28] |
Kambly D, Flindt C and Büttiker M 2011 Phys. Rev. B 83 075432
|
| [29] |
Schaller G, Kießlich G and Brandes T 2010 Phys. Rev. B 81 205305
|
| [30] |
Komnik A and Saleur H 2006 Phys. Rev. Lett. 96 216406
|
| [31] |
Li Z Z and You J Q 2013 arXiv: 1311 4724
|
| [32] |
Reulet B, Senzier J and Prober D E 2003 Phys. Rev. Lett. 91 196601
|
| [33] |
Bomze Y, Gershon G, Shovkun D, Levitov L S and Reznikov M 2005 Phys. Rev. Lett. 95 176601
|
| [34] |
Welack S, Esposito M, Harbola U and Mukamel S 2008 Phys. Rev. B 77 195315
|
| [35] |
Fang T F, Wang S J and Zuo W 2007 Phys. Rev. B 76 205312
|
| [36] |
Zhang Q Y, Wang B G and Xing D Y 2010 Chin. Phys. Lett. 27 097401
|
| [37] |
Li Z J 2005 Chin. Phys. 14 2100
|
| [38] |
Fang T F, Zuo W and Chen J Y 2008 Phys. Rev. B 77 125136
|
| [39] |
Yu H L, Wang Z G and Peng J 2009 Chin. Phys. B 18 5485
|
| [40] |
Holleitner A W, Decker C R, Qin H, Eberl K and Blick R H 2001 Phys. Rev. Lett. 87 256802
|
| [41] |
Schuster R, Buks E, Heiblum M, Mahalu D, Umansky V and Shtrikman H 1997 Nature 385 417
|
| [42] |
Kobayashi K, Aikawa H, Katsumoto S and Iye Y 2002 Phys. Rev. Lett. 88 256806
|
| [43] |
Kobayashi K, Aikawa H, Katsumoto S and Iye Y 2003 Phys. Rev. B 68 235304
|
| [44] |
Johnson A C, Marcus C M, Hanson M P and Gossard A C 2004 Phys. Rev. Lett. 93 106803
|
| [45] |
Chen X W, Chen B J, Shi Z G and Song K H 2009 Acta Phys. Sin. 58 2713 (in Chinese)
|
| [46] |
Lu H Z, Lü R and Zhu B F 2005 Phys. Rev. B 71 235320
|
| [47] |
Bagrets D A and Nazarov Yu V 2003 Phys. Rev. B 67 085316
|
| [48] |
Li X Q, Cui P and Yan Y J 2005 Phys. Rev. Lett. 94 066803
|
| [49] |
Li X Q, Luo J, Yang Y G, Cui P and Yan Y J 2005 Phys. Rev. B 71 205304
|
| [50] |
Flindt C, Novotný T and Jauho A P 2005 Europhys. Lett. 69 475
|
| [51] |
Flindt C, Novotný T, Braggio A, Sassetti M and Jauho A P 2008 Phys. Rev. Lett. 100 150601
|
| [52] |
Flindt C, Novotný T, Braggio A and Jauho A P 2010 Phys. Rev. B 82 155407
|
| [53] |
Elzerman J M, Hanson R, Willems van Beveren L H, Witkamp B, Vandersypen L M K and Kouwenhoven L P 2004 Nature 430 431
|
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
