the National Key Research and Development Program of China(Grant,No.,2016YFA0300702)
the Shanghai Municipal Natural Science Foundation(Grant,Nos.,18JC1411400,18ZR1403200,17ZR1442600)
the Program of Shanghai Academic Research Leader(Grant,Nos.,18XD1400600,17XD1400400)
and the China Postdoctoral Science Foundation(Grant,Nos.,2016M601488,2017T100265)
This work was supported by the National Key Research and Development Program of China (Grant No. 2016YFA0300702), the Shanghai Municipal Natural Science Foundation (Grant Nos. 19ZR1402800, 18JC1411400, 18ZR1403200, and 17ZR1442600), the Program of Shanghai Academic Research Leader (Grant Nos. 18XD1400600, and 17XD1400400), and the China Postdoctoral Science Foundation (Grant Nos. 2016M601488, and 2017T100265). We are grateful for theoretical discussion from Shuai Dong and Jun Chen.
[1] Cen C., Thiel S., Mannhart J., Levy J.. Science, 2009, 323: 1026 CrossRef PubMed ADS Google Scholar
[2] Takagi H., Hwang H. Y.. Science, 2010, 327: 1601 CrossRef PubMed ADS Google Scholar
[3] Tokura Y., Kawasaki M., Nagaosa N.. Nat. Phys., 2017, 13: 1056 CrossRef ADS Google Scholar
[4] Ha S. D., Ramanathan S.. J. Appl. Phys., 2011, 110: 071101 CrossRef ADS Google Scholar
[5] Waldrop M. M.. Nature, 2016, 530: 144 CrossRef PubMed ADS Google Scholar
[6] Tokura Y., Tomioka Y.. J. Magn. Magn. Mater., 1999, 200: 1 CrossRef ADS Google Scholar
[7] Dagotto E.. Science, 2005, 309: 257 CrossRef PubMed ADS Google Scholar
[8] Campi G., Bianconi A., Poccia N., Bianconi G., Barba L., Arrighetti G., Innocenti D., Karpinski J., Zhigadlo N. D., Kazakov S. M., Burghammer M., Zimmermann M. V., Sprung M., Ricci A.. Nature, 2015, 525: 359 CrossRef PubMed ADS arXiv Google Scholar
[9] Fisher D. S., Fisher M. P. A., Huse D. A.. Phys. Rev. B, 1991, 43: 130 CrossRef PubMed ADS Google Scholar
[10] Nie L., Tarjus G., Kivelson S. A.. Proc. Natl. Acad. Sci., 2014, 111: 7980 CrossRef PubMed ADS arXiv Google Scholar
[11] Imry Y., Wortis M.. Phys. Rev. B, 1979, 19: 3580 CrossRef ADS Google Scholar
[12] Aizenman M., Wehr J.. Phys. Rev. Lett., 1989, 62: 2503 CrossRef PubMed ADS Google Scholar
[13] Burgy J., Mayr M., Martin-Mayor V., Moreo A., Dagotto E.. Phys. Rev. Lett., 2001, 87: 277202 CrossRef PubMed ADS Google Scholar
[14] Greenblatt R. L., Aizenman M., Lebowitz J. L.. Phys. Rev. Lett., 2009, 103: 197201 CrossRef PubMed ADS arXiv Google Scholar
[15] Tomioka Y., Tokura Y.. Phys. Rev. B, 2004, 70: 014432 CrossRef ADS Google Scholar
[16] Pramanik A. K., Banerjee A.. J. Phys.-Condens. Matter, 2008, 20: 275207 CrossRef PubMed ADS arXiv Google Scholar
[17] Rodríguez-Martínez L. M., Attfield J. P.. Phys. Rev. B, 2000, 63: 024424 CrossRef ADS Google Scholar
[18] S. Rößler , Rößler U. K., Nenkov K., Eckert D., Yusuf S. M., Dörr K., Müller K. H.. Phys. Rev. B, 2004, 70: 104417 CrossRef ADS Google Scholar
[19] Uehara M., Mori S., Chen C. H., Cheong S. W.. Nature, 1999, 399: 560 CrossRef ADS Google Scholar
[20] Dagotto E., Hotta T., Moreo A.. Phys. Rep., 2001, 344: 1 CrossRef ADS Google Scholar
[21] Burkhardt M. H., Hossain M. A., Sarkar S., Chuang Y. D., Cruz Gonzalez A. G., Doran A., Scholl A., Young A. T., Tahir N., Choi Y. J., Cheong S. W., Dürr H. A., Stöhr J.. Phys. Rev. Lett., 2012, 108: 237202 CrossRef PubMed ADS Google Scholar
[22] Zhang L., Israel C., Biswas A., Greene R. L., de Lozanne A.. Science, 2002, 298: 805 CrossRef PubMed ADS Google Scholar
[23] Zhai H. Y., Ma J. X., Gillaspie D. T., Zhang X. G., Ward T. Z., Plummer E. W., Shen J.. Phys. Rev. Lett., 2006, 97: 167201 CrossRef PubMed ADS Google Scholar
[24] Singh-Bhalla G., Selcuk S., Dhakal T., Biswas A., Hebard A. F.. Phys. Rev. Lett., 2009, 102: 077205 CrossRef PubMed ADS arXiv Google Scholar
[25] Lin H. X., Miao T., Shi Q., Yu Y., Liu H., Zhang K., Wang W. B., Yin L. F., Shen J.. Sci. China-Phys. Mech. Astron., 2018, 61: 097511 CrossRef ADS Google Scholar
[26] Magen C., Algarabel P. A., Morellon L., Araújo J. P., Ritter C., Ibarra M. R., Pereira A. M., Sousa J. B.. Phys. Rev. Lett., 2006, 96: 167201 CrossRef PubMed ADS Google Scholar
[27] Lynn J. W., Argyriou D. N., Ren Y., Chen Y., Mukovskii Y. M., Shulyatev D. A.. Phys. Rev. B, 2007, 76: 014437 CrossRef ADS Google Scholar
[28] Hattori A. N., Fujiwara Y., Fujiwara K., Nguyen T. V. A., Nakamura T., Ichimiya M., Ashida M., Tanaka H.. Nano Lett., 2015, 15: 4322 CrossRef PubMed ADS Google Scholar
[29] Zhang K., Li L., Li H., Feng Q., Zhang N., Cheng L., Fan X., Hou Y., Lu Q., Zhang Z., Zeng C.. Nano Lett., 2017, 17: 1461 CrossRef PubMed ADS Google Scholar
[30] Brando M., Belitz D., Grosche F. M., Kirkpatrick T. R.. Rev. Mod. Phys., 2016, 88: 025006 CrossRef ADS arXiv Google Scholar
[31] Pesquera D., Herranz G., Barla A., Pellegrin E., Bondino F., Magnano E., Sánchez F., Fontcuberta J.. Nat. Commun., 2012, 3: 1189 CrossRef PubMed ADS Google Scholar
Figure 1
Morphology of LPCMO nanowires. (a)-(h) SEM images of nanowires ranging from 5 μm to
Figure 2
(Color online) Resistivity vs. temperature measurements of LPCMO nanowires. (a)-(h) The resistivity vs. temperature curves under cooling and warming. Black, red, green, blue, purple, and orange correspond to the different external magnetic fields applied, and being 0, 1, 2, 3, 5, and
Figure 3
(Color online) Resistivity vs. external magnetic field behavior at different temperatures. (a)-(d) correspond to temperatures of
Figure 4
(Color online) Force microscopy measurements of selected nanowires under increasing magnetic field. (a) AFM image of the morphology of the selected nanowires (left to right: width=1 μm,
Figure 5
(Color online) Temperature-dependent magnetoresistance of differing-width nanowires. MR is defined as MR=(