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Superconductivity is one of the most important research fields in condensed matter physics. The rapid development of material preparation technology in last few years has made the experimental study of low-dimensional physical superconducting properties feasible. This article gives a brief introduction on superconductivity and technology of low-dimensional material fabrication, and mainly focuses on the experimental progress in electrical transport studies on one-and two-dimensional superconductors, especially the results from our group. As for one-dimensional superconductivity, we review the superconductivities in single crystal Bi nanowires, crystalline Pb nano-belts, and amorphous W nanobelts, and the proximity effects in superconducting nanowires, metallic nanowires, and ferromagnetic nanowires. Surface superconductivity is revealed for crystalline Bi nanowire. The step-like voltage platforms in V-I curves are observed in Pb nano-belts and may be attributed to phase slip centers. Besides, vortex glass (VG) phase transition is discovered in amorphous W nano-belts. Inverse proximity effect is detected in crystalline Pb nanowires with normal electrodes, and proximity induced mini-gap is found in crystalline Au nanowire with superconducting electrodes. Furthermore, in crystalline ferromagnetic Co nanowire contacted by superconducting electrodes, unconventional long range proximity effect is observed. As for two-dimensional superconductivity, we review the superconductivities in Pb thin films on Si substrates, 2 atomic layer Ga films on GaN substrates, and one-unit-cell thick FeSe film on STO substrates grown by molecular beam epitaxy (MBE) method. By both in situ scanning tunneling microscopy/spectroscopy and ex situ transport and magnetization measurements, the two-atomic-layer Ga film with graphene-like structure on wide band-gap semiconductor GaN is found to be superconducting with Tc up to 5.4 K. By direct transport and magnetic measurements, the strong evidences for high temperature superconductivities in the 1-UC FeSe films on insulating STO substrates with the onset Tc and critical current density much higher than those for bulk FeSe are revealed. Finally, we give a summary and present a perspective on the future of low dimensional superconductors.
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Keywords:
- low dimensional superconductivity /
- electrical transport /
- thin film /
- nanowire
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[1] Meissner W, Ochsenfeld R 1933 Naturwissenschaften 21 787
[2] Tinkham M 1996 Introduction to Superconductivity (2nd Ed.) (New York: McGraw-Hill Inc.) pp43-108
[3] Landau L D, Ginzburg V I 1950 Zh. Eksp. Teor. Fiz 20 546
[4] Singh M, Wang J, Tian M L, Mallouk T E, Chan M H W 2011 Phys. Rev. B 83 220506
[5] Singh M, Wang J, Tian M L, Zhang Q, Pereira A, Kumar N, Mallouk T E, Chan M H W 2009 Chem. Mater. 21 5557
[6] Jose V J V 2013 40 Years of Berezinskii-Kosterlitz-Thouless Theory (Singapore: World Scientific)
[7] Bera D, Kuiry S C, Seal S 2004 Jom 56 49
[8] Lee W, Ji R, Gösele U, Nielsch K 2006 Nature Mater. 5 741
[9] Liu Y, Allen R E 1995 Phys. Rev. B 52 1566
[10] Overcash D R, Ratnam B A, Skove M J, Stillwell E P 1980 Phys. Rev. Lett. 44 1348
[11] Hoffman R A, Frankl D R 1971 Phys. Rev. B 3 1825
[12] Yang F Y, Liu K, Hong K, Reich D H, Searson P C, Chien C L 1999 Science 284 1335
[13] Zhang Z, Sun X, Dresselhaus M S, Ying J Y, Heremans J 2000 Phys. Rev. B 61 4850
[14] Wells J W, Dil J H, Meier F, Lobo-Checa J, Petrov V N, Osterwalder J, Ugeda M M, Fernandez-Torrente I, Pascual J I, Rienks E D L, Jensen M F, Hofmann Ph 2009 Phys. Rev. Lett. 102 096802
[15] Nikolaeva A, Gitsu D, Konopko L, Graf M J, Huber T E 2008 Phys. Rev. B 77 075332
[16] Hasan M Z, Kane C L 2010 Rev. Mod. Phys. 82 3045
[17] Qi X L, Zhang S C 2011 Rev. Mod. Phys. 83 1057
[18] Zhang H, Liu C X, Qi X L, Dai X, Fang Z, Zhang S C 2009 Nature Phys. 5 438
[19] Zeng Z, Morgan T A, Fan D, Li C, Hirono Y, Hu X, Zhao Y, Lee J S, Wang J, Wang Z M, Yu S, Hawkridge M E, Benamara M, Salamo G J 2013 AIP Adv. 3 072112
[20] Wang J, DaSilva A M, Chang C Z, He K, Jain J K, Samarth N, Ma X C, Xue Q K, Chan M H W 2011 Phys. Rev. B 83 245438
[21] Wang H, Liu H, Chang C Z, Zuo H, Zhao Y, Sun Y, Xia Z, He K, Ma X, Xie X C, Xue Q K, Wang J 2014 Sci. Rep. 4 5817
[22] Zhao Y, Chang C Z, Jiang Y, DaSilva A, Sun Y, Wang H, Xing Y, Wang Y, He K, Ma X, Xue Q K, Wang J 2013 Sci. Rep. 3 3060
[23] Tian M, Wang J, Zhang Q, Kumar N, Mallouk T E, Chan M H 2009 Nano Lett. 9 3196
[24] Valizadeh S, Abid M, Hjort K 2006 Nanotechnology 17 1134
[25] Ye Z, Zhang H, Liu H, Wu W, Luo Z 2008 Nanotechno-logy 19 085709
[26] Little W A, Parks R D 1962 Phys. Rev. Lett. 9 9
[27] Parks R D, Little W A 1964 Phys. Rev. 133 A97
[28] Buisson O, Gandit P, Rammal R, Wang Y Y, Pannetier B 1990 Phys. Lett. A 150 36
[29] Bezryadin A, Ovchinnikov Y N, Pannetier B 1996 Phys. Rev. B 53 8553
[30] Moshchalkov V V, Gielen L, Strunk C, Jonckheere R, Qiu X, Van Haesendonck C, Bruynseraede Y 1995 Nature 373 319
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[35] Brown III R D 1970 Phys. Rev. B 2 928
[36] Tian M, Wang J, Ning W, Mallouk T E, Chan M H W 2015 Nano Lett. 15 1487
[37] Wang J, Ma X C, Lu L, Jin A Z, Gu C Z, Xie X C, Jia J F, Chen X, Xue Q K 2008 Appl. Phys. Lett. 92 233119
[38] Likharev K K 1979 Rev. Mod. Phys. 51 101
[39] Guo Y, Zhang Y F, Bao X Y, Han T Z, Tang Z, Zhang L X, Zhu W G, Wang E G, Niu Q, Qiu Z Q, Jia J F, Zhao Z X, Xue Q K 2004 Science 306 1915
[40] Gray A, Liu Y, Hong H, Chiang T C 2013 Phys. Rev. B 87 195415
[41] Zhang Y F, Jia J F, Han T Z, Tang Z, Shen Q T, Guo Y, Qiu Z Q, Xue Q K 2005 Phys. Rev. Lett. 95 096802
[42] Özer M M, Thompson J R, Weitering H H 2006 Nature Phys. 2 173
[43] Wang J, Ma X C, Qi Y, Fu Y S, Ji S H, Lu L, Jia J F, Xue Q K 2007 Appl. Phys. Lett. 90 113109
[44] Eom D, Qin S, Chou M Y, Shih C K 2006 Phys. Rev. Lett. 96 027005
[45] Wang J, Ma X C, Qi Y, Ji S H, Fu Y S, Lu L, Jin A Z, Gu C Z, Xie X C, Tian M L, Jia J F, Xue Q K 2009 J. Appl. Phys. 106 034301
[46] Tian M, Wang J, Kurtz J S, Liu Y, Chan M H W, Mayer T S, Mallouk T E 2005 Phys. Rev. B 71 104521
[47] Rogachev A, Bezryadin A 2003 Appl. Phys. Lett. 83 512
[48] Sadki E S, Ooi S, Hirata K 2004 Appl. Phys. Lett. 85 6206
[49] Jenkins D W K, Allen G C, Prewett P D, Heard P J 1991 J. Phys.: Condens. Matter 3 S199
[50] Langfischer H, Basnar B, Hutter H, Bertagnolli E 2002 J. Vac. Sci. Techno. A 20 1408
[51] Gross M E, Harriott L R, Opila Jr R L 1990 J. Appl. Phys. 68 4820
[52] Horváth E, Neumann P L, Tóth A L, Horváth Z E, Biró L P 2007 Microelectron. Eng. 84 837
[53] Li W, Fenton J C, Wang Y, McComb D W, Warburton P A 2008 J. Appl. Phys. 104 093913
[54] Gibson J W, Hein R A 1964 Phys. Rev. Lett. 12 688
[55] Sun Y, Wang J, Zhao W, Tian M, Singh M, Chan M H 2013 Sci. Rep. 3 2307
[56] Koch R H, Foglietti V, Gallagher W J, Koren G, Gupta A, Fisher M P A 1989 Phys. Rev. Lett. 63 1511
[57] Fisher M P A 1989 Phys. Rev. Lett. 62 1415
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[59] Yamasaki H, Endo K, Kosaka S, Umeda M, Yoshida S, Kajimura K 1994 Phys. Rev. B 50 12959
[60] Zhang Y Q, Ding J F, Xiang X Q, Li X G, Chen Q H 2009 Supercond. Sci. Tech. 22 085010
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[66] Villegas J E, Vicent J L 2005 Phys. Rev. B 71 144522
[67] De Gennes P G 1964 Rev. Mod. Phys. 36 225
[68] Chiang Y N, Shevchenko O G, Kolenov R N 2007 Low Temp. Phys. 33 314
[69] Aumentado J, Chandrasekhar V 2001 Phys. Rev. B 64 054505
[70] Wang J, Singh M, Tian M, Kumar N, Liu B, Shi C, Jain J K, Samarth N, Mallouk T E, Chan M H W 2010 Nature Phys. 6 389
[71] Wang J, Shi C, Tian M, Zhang Q, Kumar N, Jain J K, Mallouk T E, Chan M H W 2009 Phys. Rev. Lett. 102 247003
[72] Bergeret F S, Volkov A F, Efetov K B 2005 Rev. Mod. Phys. 77 1321
[73] Giroud M, Courtois H, Hasselbach K, Pannetier B 1998 Phys. Rev. B 58 R11872
[74] Wang J, Sun Y, Tian M, Liu B, Singh M, Chan M H W 2012 Phys. Rev. B 86 035439
[75] Arutyunov K Y, Ryynänen T V, Pekola J P, Pavolotski A B 2001 Phys. Rev. B 63 092506
[76] Zhang D, Wang J, DaSilva A M, Lee J S, Gutierrez H R, Chan M H W, Jain J, Samarth N 2011 Phys. Rev. B 84 165120
[77] Wang J, Chang C Z, Li H, He K, Zhang D, Singh M, Ma X C, Samarth N, Xie M, Xue Q K, Chan M H W 2012 Phys. Rev. B 85 045415
[78] Qin S, Kim J, Niu Q, Shih C K 2009 Science 324 1314
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[80] Brun C, Cren T, Cherkez V, Debontridder F, Pons S, Fokin D, Tringides M C, Bozhjo S, Loffe L B, Altshuler B L, Roditchev D 2014 Nature Phys. 10 444
[81] Uchihashi T, Mishra P, Aono M, Nakayama T 2011 Phys. Rev. Lett. 107 207001
[82] Yamada M, Hirahara T, Hasegawa S 2013 Phys. Rev. Lett. 110 237001
[83] Reyren N, Thiel S, Caviglia A D, Kourkoutis L F, Hammerl G, Richter C, Schneider C W, Kopp T, Ruetschi A S, Jaccard D, Gabay M, Muller D A, Triscone J M, Mannhart J 2007 Science 317 1196
[84] Wang Q Y, Li Z, Zhang W H, Zhang Z C, Zhang J S, Li W, Ding H, Ou Y B, Deng P, Chang K, Wen J, Song C L, He K, Jia J F, Ji S H, Wang Y Y, Wang L L, Chen X, Ma X C, Xue Q K 2012 Chin. Phys. Lett. 29 037402
[85] Zhang W H, Sun Y, Zhang J S, Li F S, Guo M H, Zhao Y F, Zhang H M, Peng J P, Xing Y, Wang H C, Takeshi F, Akihiko H, Li Z, Ding H, Tang C J, Wang M, Wang Q Y, He K, Ji S H, Chen X, Wang J F, Xia Z C, Li L, Wang Y Y, Wang J, Wang L L, Chen M W, Xue Q K, Ma X C 2014 Chin. Phys. Lett. 31 017401
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[87] Dynes R C, Narayanamurti V, Garno J P 1978 Phys. Rev. Lett. 41 1509
[88] Bardeen J, Cooper L N, Schrieffer J R 1957 Phys. Rev. 108 1175
[89] Gregory W D, Sheahen T P, Cochran J F 1966 Phys. Rev. 150 315
[90] Berger L I, Roberts B W Handbook of Chemistry and Physics (London: CRC Press)
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