Nanoscale electromechanics of paraelectric materials with mobile charges: Size effects and nonlinearity of electromechanical response of SrTiO3 films

Physical Review B - Condensed Matter and Materials Physics

Volumn 84, Issue 4, 2011, Pages

  Morozovska, A N ^a   Eliseev, E A ^a,b   Svechnikov, G S ^a   Kalinin, S V ^c  

^a INSTITUTE OF SEMICONDUCTOR PHYSICS   (Ukraine)

^b FRANTSEVICH INSTITUTE FOR PROBLEMS OF MATERIALS SCIENCE   (Ukraine)

^c OAK RIDGE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79961184774     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.84.045402     Document Type: Article

References (101)

1. Nanoelectronics and Information Technology: Advanced Electronic Materials and Novel Devices, edited by R. Waser (Wiley-VCH, Darmstadt, 2003).
2. National Nanotechnology Initiative. 2006 [http://www.nano.gov/].
3. Molecular Electronics, edited by P. I. Lazarev (Springer, Berlin, 2004).
4. Nanoplasmonics, edited by H. Masuhara and S. Kawata, Fundamentals to Applications Vol. 2 (Elsevier, Amsterdam, 2006).
5. Nano-Optics, edited by S. Kawata, M. Ohtsu, and M. Irie (Springer, Berlin, 2002).
6. T. J. Chuang, P. M. Anderson, M. K. Wu, and S. Hsieh, Nanomechanics of Materials and Structures (Springer, Berlin, 2006).
7. A. N. Cleland, Foundations of Nanomechanics (Springer, Berlin, 2002).
8. W. C. Oliver and G. M. Pharr, J. Mater. Res. JMREEE 0884-2914 10.1557/jmr.2004.19.1.3 19, 3 (2004).
9. B. Bhushan, Nanotribology and Nanomechanics: An Introduction (Springer, Heidelberg, 2008).
10. R. R. He and P. D. Yang, Nat. Nanotechnol. NNAABX 1748-3387 10.1038/nnano.2006.53 1, 42 (2006).
11. S. V. Kalinin, B. J. Rodriguez, S. Jesse, B. Mirman, E. Karapetian, E. A. Eliseev, and A. N. Morozovska, Annu. Rev. Mater. Sci. ARMSCX 1531-7331 10.1146/annurev.matsci.37.052506.084323 37, 189 (2007). (Pubitemid 47500080)
12. W. G. Cady, Piezoelectricity (Dover, Mineola, NY, 1964), Vols. 1,2.
13. M. E. Lines and A. M. Glass, Principles and Applications of Ferroelectric and Related Materials (Clarendon, Oxford, 1977).
14. L. L. Hench and J. K. West, Principles of Electronic Ceramics (Wiley, New York, 1990).
15. N. Setter and E. L. Colla, Ferroelectric Ceramics (Birkhäuser Verlag, Basel, 1993).
16. A. K. Tagantsev, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.34.5883 34, 5883 (1986).
17. G. Catalan, L. J. Sinnamon, and J. M. Gregg, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/16/13/006 16, 2253 (2004).
18. G. Catalan, B. Noheda, J. McAneney, L. J. Sinnamon, and J. M. Gregg, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.72.020102 72, 020102 (2005). (Pubitemid 41506802)
19. R. Maranganti, N. D. Sharma, and P. Sharma, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.74.014110 74, 014110 (2006). (Pubitemid 44100083)
20. S. V. Kalinin and V. Meunier, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.033403 77, 033403 (2008).
21. M. S. Majdoub, P. Sharma, and T. Cagin, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.125424 77, 125424 (2008).
22. A. K. Tagantsev, V. Meunier, and P. Sharma, MRS Bull. MRSBEA 0883-7694 10.1557/mrs2009.175 34, 643 (2009).
23. E. A. Eliseev, A. N. Morozovska, M. D. Glinchuk, and R. Blinc. Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.79.165433 79, 165433 (2009).
24. Y. T. Cheng and M. W. Verbrugge, J. Power Sources JPSODZ 0378-7753 10.1016/j.jpowsour.2009.01.021 190, 453 (2009).
25. X. Zhang, A. M. Sastry, and W. Shyy, J. Electrochem. Soc. JESOAN 0013-4651 10.1149/1.2926617 155, A542 (2008). (Pubitemid 351752913)
26. V. V. Kharton, A. V. Kovalevsky, M. Avdeev, E. V. Tsipis, M. V. Patrakeev, A. A. Yaremchenko, E. N. Maumovich, and J. R. Frade, Chem. Mater. CMATEX 0897-4756 10.1021/cm070096x 19, 2027 (2007). (Pubitemid 46686385)
27. F. Yang, Mater. Sci. Eng., A MSAPE3 0921-5093 10.1016/j.msea.2005.05.117 409, 153 (2005). (Pubitemid 41747962)
28. S. R. Bishop, K. L. Duncan, and E. D. Wachsman, Electrochim. Acta 0013-4686 10.1016/j.electacta.2008.09.026 54, 1436 (2009).
29. A. Yu. Zuev and D. S. Tsvetkov, Solid State Ionics SSIOD3 0167-2738 10.1016/j.ssi.2010.02.024 181, 557 (2010).
30. D. B. Li, W. F. Paxton, R. H. Baughman, T. J. Huang, J. F. Stoddart, and P. S. Weiss, MRS Bull. 0883-7694 10.1557/mrs2009.179 34, 671 (2009).
31. A. G. Petrov, Biochim Biophys Acta BBACAQ 0005-2736 10.1016/S0304- 4157(01)00007-7 1561, 1 (2002). (Pubitemid 34442243)
32. E. Fukada and I. Yasuda, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.12.1158 12, 1158 (1957).
33. Y. Gil, O. M. Umurhan, and I. Riess, Solid State Ionics SSIOD3 0167-2738 10.1016/j.ssi.2006.10.024 178, 1 (2007). (Pubitemid 46123590)
34. A. Grigoriev, D. H. Do, D. M. Kim, C. B. Eom, B. Adams, E. M. Dufresne, and P. G. Evans, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.187601 96, 187601 (2006).
35. A. Grigoriev, R. Sichel, H. N. Lee, E. C. Landahl, B. Adams, E. M. Dufresne, and P. G. Evans, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.027604 100, 027604 (2008).
36. C. v. Korff Schmising, M. Bargheer, M. Kiel, N. Zhavoronkov, M. Woerner, T. Elsaesser, I. Vrejoiu, D. Hesse, and M. Alexe, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.257601 98, 257601 (2007). (Pubitemid 47139945)
37. C. v. Korff Schmising, M. Bargheer, M. Kiel, N. Zhavoronkov, M. Woerner, T. Elsaesser, I. Vrejoiu, D. Hesse, and M. Alexe, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.73.212202 73, 212202 (2006). (Pubitemid 43849211)
38. P. Gerber, C. Kugeler, U. Bottger, and R. Waser, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1690098 95, 4976 (2004).
39. Q. M. Zhang, W. Y. Pan, and L. E. Cross, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.341027 63, 2492 (1988).
40. A. L. Kholkin, Ch. Wuthrich, D. V. Taylor, and N. Setter, Rev. Sci. Instrum. RSINAK 0034-6748 10.1063/1.1147000 67, 1935 (1996).
41. T. Maeder, P. Muralt, L. Sagalowicz, I. Reaney, M. Khli, A. Kholkin, and N. Setter, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.116529 68, 776 (1996). (Pubitemid 126688518)
42. A. Y. Borisevich, H. J. Chang, M. Huijben, M. P. Oxley, S. Okamoto, M. K. Niranjan, J. D. Burton, E. Y. Tsymbal, Y.H. Chu, P. Yu, R. Ramesh, S. V. Kalinin, and S. J. Pennycook, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.087204 105, 087204 (2010).
43. C. L. Jia, V. Nagarajan, J. Q. He, L. Houben, T. Zhao, R. Ramesh, K. Urban, and R. Waser, Nature Mater. NMAACR 1476-1122 10.1038/nmat1808 6, 64 (2007). (Pubitemid 46043270)
44. C. L. Jia, S. B. Mi, K. Urban, I. Vrejoiu, M. Alexe, and D. Hesse, Nature Mater. 1476-1122 10.1038/nmat2080 7, 57 (2008).
45. M. F. Chisholm, W. D. Luo, M. P. Oxley, S. T. Pantelides, and H. N. Lee, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.105.197602 105, 197602 (2010).
46. C. T. Nelson, B. Winchester, Y. Zhang, S. J. Kim, A. Melville, C. Adamo, C. M. Folkman, S. H. Baek, C. B. Eom, D. G. Schlom, L. Q. Chen, and X. Pan, Nano Lett. 1530-6984 10.1021/nl1041808 11, 828 (2011).
47. B. M. Rabatic, N. M. Dimitrijevich, R. E. Cook, Z. V. Saponjic, and T. Rajh, Adv. Mater. 0935-9648 10.1002/adma.200500988 18, 1033 (2006).
48. A. Gruverman and A. Kholkin, Rep. Prog. Phys. 0034-4885 10.1088/0034-4885/69/8/R04 69, 2443 (2006). (Pubitemid 44144177)
49. S. V. Kalinin, A. N. Morozovska, L. Q. Chen, and B. J. Rodriguez, Rep. Prog. Phys. 0034-4885 10.1088/0034-4885/73/5/056502 73, 056502 (2010)
50. N. Balke, S. Jesse, A. N. Morozovska, E. Eliseev, D. W. Chung, Y. Kim, L. Adamczyk, R. E. García, N. Dudney, and S. V. Kalinin, Nat. Nanotechnol. 1748-3387 10.1038/nnano.2010.174 5, 749 (2010).
51. N. Balke, S. Jesse, Y. Kim, L. Adamczyk, A. Tselev, I. N. Ivanov, N. J. Dudney, and S. V. Kalinin, Nano Lett. 1530-6984 10.1021/nl101439x 10, 3420 (2010).
52. A. Kholkin, I. Bdikin, T. Ostapchuk, and J. Petzelt, Appl. Phys. Lett. 0003-6951 10.1063/1.3037220 93, 222905 (2008).
53. A. L. Kholkin, R. Tararam, I. Bdikin, J. Varela, and P. R. Bueno, Mater. Res. Soc. Symp. Proc. 1255E, 5 (2010).
54. R. F. Mamin, I. Bdikin, and A. Kholkin, Appl. Phys. Lett. 0003-6951 10.1063/1.3147163 94, 222901 (2009).
55. A. N. Morozovska, E. A. Eliseev, A. K. Tagantsev, S. L. Bravina, Long-Qing Chen, and S. V. Kalinin, Phys. Rev. B 1098-0121 10.1103/PhysRevB.83. 195313 83, 195313 (2011).
56. A. N. Morozovska, E. A. Eliseev, and S. V. Kalinin, Appl. Phys. Lett. 0003-6951 10.1063/1.3446838 96, 222906 (2010).
57. P. A. Fleury and J. M. Worlock, Phys. Rev. 0031-899X 10.1103/PhysRev.174. 613 174, 613 (1968).
58. Hiromoto Uwe and Tunetaro Sakudo, Phys. Rev. B 1098-0121 10.1103/PhysRevB.15.337 15, 337 (1977).
59. T. Katsufuji and H. Takagi, Phys. Rev. B 1098-0121 10.1103/PhysRevB.64. 054415 64, 054415 (2001).
60. G. Rupprecht and R. O. Bell, Phys. Rev. 0031-899X 10.1103/PhysRev.135. A748 135, A748 (1964).
61. N. A. Pertsev, A. K. Tagantsev, and N. Setter, Phys. Rev. B 1098-0121 10.1103/PhysRevB.61.R825 61, R825 (2000).
62. P. Zubko, G. Catalan, A. Buckley, P. R. L. Welche, and J. F. Scott, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.99.167601 99, 167601 (2007). (Pubitemid 47613330)
63. Mirit Ram and Yoed Tsur, J. Electroceram. 1385-3449 10.1007/s10832-008- 9419-0 22, 120 (2009).
64. V. V. Kharton, A. A. Yaremchenko, M. V. Patrakeev, E. N. Naumovich, and F. M. B. Marques, J. Eur. Ceram. Soc. 0955-2219 10.1016/S0955-2219(02)00308-4 23, 1417 (2003). (Pubitemid 36370737)
65. S. Hashimoto, L. Kindermann, P. H. Larsen, F. W. Poulsen, and M. Mogensen, J. Electroceram. JOELFJ 1385-3449 10.1007/s10832-006-3490-1 16, 103 (2006).
66. Hartmut Stöcker, Matthias Zschornak, Juliane Seibt, Florian Hanzig, Susi Wintz, Barbara Abendroth, Jens Kortus, and Dirk C. Meyer, Appl. Phys. A: Mater. Sci. Process. APAMFC 0947-8396 10.1007/s00339-010-5848-0 A 100, 437 (2010).
67. M. Mrovec, J.-M. Albina, B. Meyer, and C. Elsässer, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.79.245121 79, 245121 (2009).
68. R. Moos, W. Mcnesklou, and K. H. Hardt, Appl. Phys. A: Mater. Sci. Process. A61, 389 (1995).
69. Ralf Moos and Karl Heinz Hardt, J. Appl. Phys. 0021-8979 10.1063/1.362796 80, 393 (1996).
70. N. A. Pertsev, A. G. Zembilgotov, and A. K. Tagantsev, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.80.1988 80, 1988 (1998).
71. J. S. Speck and W. Pompe, J. Appl. Phys. 0021-8979 10.1063/1.357097 76, 466 (1994).
72. J. H. Haeni, P. Irvin, W. Chang, R. Uecker, P. Reiche, Y. L. Li, S. Choudhury, W. Tian, M. E. Hawley, B. Craigo, A. K. Tagantsev, X. Q. Pan, S. K. Streiffer, L. Q. Chen, S. W. Kirchoefer, J. Levy, and D. G. Schlom, Nature (London) 0028-0836 10.1038/nature02773 430, 758 (2004). (Pubitemid 39071342)
73. June Hyuk Lee, Lei Fang, Eftihia Vlahos, Xianglin Ke, Young Woo Jung, Lena Fitting Kourkoutis, Jong-Woo Kim, Philip J. Ryan, Tassilo Heeg, Martin Roeckerath, Veronica Goian, Margitta Bernhagen, Reinhard Uecker, P. Chris Hammel, Karin M. Rabe, Stanislav Kamba, Jurgen Schubert, John W. Freeland, David A. Muller, Craig J. Fennie, Peter Schiffer, Venkatraman Gopalan, Ezekiel Johnston-Halperin, and Darrell G. Schlom, Nature (London) 0028-0836 10.1038/nature09331 466, 954 (2010).
74. M. Marvan and J. Fousek, Phys. Status Solidi B 0370-1972 10.1002/(SICI)1521-3951(199808)208:2<523::AID-PSSB523>3.0.CO;2-T 208, 523 (1998).
75. L. D. Landau, E. M. Lifshitz, and L. P. Pitaevskii, Electrodynamics of Continuous Media, 2nd ed. (Butterworth-Heinenann, Oxford, 1984), Vol. 8.
76. I. Krakovsky, T. Romijn, and A. Posthuma de Boer, J. Appl. Phys. 0021-8979 10.1063/1.369418 85, 628 (1999). (Pubitemid 129710186)
77. L. D. Landau and E. M. Lifshitz, Statistical Physics. Course of Theoretical Physics (Butterworth-Heinemann, Oxford, 1984), vol. 5.
78. S. P. Alpay, I. B. Misirlioglu, A. Sharma, and Z. G. Ban, J. Appl. Phys. 0021-8979 10.1063/1.1751630 95, 8118 (2004).
79. Z. G. Ban, S. P. Alpay, and J. V. Mantese, Phys. Rev B 1098-0121 10.1103/PhysRevB.67.184104 67, 184104 (2003).
80. G. Akcay, S. P. Alpay, G. A. Rossetti, and J. F. Scott, J. Appl. Phys. 0021-8979 10.1063/1.2831222 103, 024104 (2008). (Pubitemid 351190735)
81. Q. Y. Qiu, V. Nagarajan, and S. P. Alpay, Phys. Rev. B 1098-0121 10.1103/PhysRevB.78.064117 78, 064117 (2008).
82. A. K. Tagantsev, Zh. Eksp. Teor. Fiz. 88, 2108 (1985).
83. M. D. Glinchuk and A. N. Morozovska, J. Phys.: Condens. Matter 0953-8984 10.1088/0953-8984/16/21/002 16, 3517 (2004).
84. M. D. Glinchuk, A. N. Morozovska, and E. A. Eliseev, J. Appl. Phys. 0021-8979 10.1063/1.2198940 99, 114102 (2006). (Pubitemid 43926507)
85. J. B. Stephenson, e-print arXiv: 1101.0298.
86. G. A. Korn, and T. M. Korn, Mathematical Handbook for Scientists and Engineers (McGraw-Hill, New-York, 1961).
87. E. A. Eliseev and A. N. Morozovska, J. Mater. Sci. JMTSAS 0022-2461 10.1007/s10853-009-3473-0 44, 5149 (2009).
88. K. Schwarz, U. Rabe, S. Hirsekorn, and W. Arnold, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.2911916 92, 183105 (2008). (Pubitemid 351662027)
89. S. M. Sze, Physics of Semiconductor Devices, 2nd ed. (Wiley-Interscience, New York, 1981), Chap. 5.
90. S. P. Timoshenko and J. N. Goodier, Theory of Elasticity (McGraw-Hill, New York, 1970).
91. T. Mura, Micromechanics of Defects in Solids (Martinus Nijhoff, Boston, 1987).
92. A. N. Morozovska, S. V. Svechnikov, E. A. Eliseev, and S. V. Kalinin, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.76.054123 76, 054123 (2007).
93. A. N. Morozovska, E. A. Eliseev, and S. V. Kalinin, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.2785824 102, 074105 (2007). (Pubitemid 47587856)
94. R. Yimnirun, Ph.D. thesis, Pennsylvania State University, 2002.
95. A. N. Morozovska, E. A. Eliseev, N. Balke, and S. V. Kalinin, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.3460637 108, 053712 (2010).
96. S. V. Kalinin and D. A. Bonnell, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.65.125408 65, 125408 (2002).
97. E. Karapetian, M. Kachanov, and S. V. Kalinin, Philos. Mag. PMHABF 1478-6435 10.1080/14786430412331324680 85, 1017 (2005). (Pubitemid 41632919)
98. S. V. Kalinin, E. Karapetian, and M. Kachanov, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.70.184101 70, 184101 (2004). (Pubitemid 40110846)
99. S. V. Kalinin, E. A. Eliseev, and A. N. Morozovska, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.2206992 88, 232904 (2006). (Pubitemid 43877752)
100. E. A. Eliseev, S. V. Kalinin, S. Jesse, S. L. Bravina, and A. N. Morozovska, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.2749463 102, 014109 (2007). (Pubitemid 47114578)
101. A. N. Morozovska, E. A. Eliseev, S. V. Svechnikov, S. Jesse, B. J. Rodriguez, and S. V. Kalinin, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.2818370 102, 114108 (2007). (Pubitemid 350262135)