[en] The antiferrodistortive (AFD) structural transitions of calcium titanate (CaTiO3) at ambient pressure have been extensively studied during the last few years. It has been found that none of the AFD polymorphs is polar or ferroelectric. However, it was recently shown theoretically and later experimentally confirmed that a ferroelectric transition in CaTiO3 can be induced by tensile strains. The ferroelectric instability is believed to be strongly coupled to the AFD soft modes. In this paper, we present a complete thermodynamic potential for describing the coupling between the AFD and ferroelectric phase transitions. We analyzed the dependence of transition temperatures on stress and strain condition. Based on this potential, a (001) CaTiO3 thin film diagram was constructed. The results show good agreement with available experimental observations. The strong suppression of ferroelectric transition by the AFD transition is discussed.
Disciplines :
Physics
Author, co-author :
Gu, Yijia
Rabe, Karin
Bousquet, Eric ; Université de Liège - ULiège > Département de physique > Physique théorique des matériaux
Gopalan, Venkatraman
Chen, Long-Qing
Language :
English
Title :
Phenomenological thermodynamic potential for CaTiO3 single crystals
Publication date :
2012
Journal title :
Physical Review. B, Condensed Matter and Materials Physics
ISSN :
1098-0121
eISSN :
1550-235X
Publisher :
American Physical Society, Woodbury, United States - New York
M. E. Lines and A. M. Glass, Principles and Applications of Ferroelectrics and Related Materials, 1st ed. (Oxford University Press, Oxford, 1977).
W. Zhong and D. Vanderbilt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.2587 74, 2587 (1995).
D. Vanderbilt and W. Zhong, Ferroelectrics 0015-0193 10.1080/ 00150199808009158 206, 181 (1998).
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 0028-0836 10.1038/nature02773 430, 758 (2004). (Pubitemid 39071342)
A. M. Glazer, Acta Crystallogr. Sect. B 0567-7408 10.1107/ S0567740872007976 28, 3384 (1972).
P. Gillet, F. Guyot, G. D. Price, B. Tournerie, and A. Lecleach, Phys. Chem. Miner. 20, 159 (1993).
F. Guyot, P. Richet, P. Courtial, and P. Gillet, Phys. Chem. Miner. 0342-1791 10.1007/BF00200116 20, 141 (1993).
S. A. T. Redfern, J. Phys. Condens. Matter 0953-8984 10.1088/0953-8984/8/ 43/019 8, 8267 (1996).
B. J. Kennedy, C. J. Howard, and B. C. Chakoumakos, J. Phys. Condens. Matter 0953-8984 10.1088/0953-8984/11/6/012 11, 1479 (1999).
R. Ali and M. Yashima, J. Solid State Chem. 0022-4596 10.1016/j.jssc.2005.06.027 178, 2867 (2005). (Pubitemid 41244748)
M. Yashima and R. Ali, Solid State Ionics 0167-2738 10.1016/j.ssi.2008. 11.019 180, 120 (2009).
P. Gillet, G. Fiquet, I. Daniel, and B. Reynard, Geophys. Res. Lett. 0094-8276 10.1029/93GL01835 20, 1931 (1993).
V. V. Lemanov, A. V. Sotnikov, E. P. Smirnova, M. Weihnacht, and R. Kunze, Solid State Commun. 0038-1098 10.1016/S0038-1098(99)00153-2 110, 611 (1999).
E. Cockayne and B. P. Burton, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.62.3735 62, 3735 (2000).
V. Zelezny, E. Cockayne, J. Petzelt, M. F. Limonov, D. E. Usvyat, V. V. Lemanov, and A. A. Volkov, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.66. 224303 66, 224303 (2002).
N. Sai and D. Vanderbilt, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.62.13942 62, 13942 (2000). (Pubitemid 32323751)
S. Bhattacharjee, E. Bousquet, and P. Ghosez, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.117602 102, 117602 (2009).
S. Amisi, E. Bousquet, K. Katcho, and Ph. Ghoset, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.85.064112 85, 064112 (2012).
James M. Rondinelli and Craig J. Fennie, e-print arXiv: 1106.0049 (to be published).
C. J. Eklund, C. J. Fennie, and K. M. Rabe, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.79.220101 79, 220101 (2009).
C. J. Eklund, Ph.D. thesis, Rutgers University, 2010.
E. Vlahos, Ph.D. thesis, Pennsylvania State University, 2011.
M. Calleja, M. T. Dove, and E. K. H. Salje, J. Phys. Condens. Matter 0953-8984 10.1088/0953-8984/15/14/305 15, 2301 (2003).
L. Goncalves-Ferreira, S. A. T. Redfern, E. Artacho, E. Salje, and W. T. Lee, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.81.024109 81, 024109 (2010).
W. T. Lee, E. K. H. Salje, L. Goncalves-Ferreira, M. Daraktchiev, and U. Bismayer, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.73.214110 73, 214110 (2006). (Pubitemid 43912036)
L. Goncalves-Ferreira, S. A. T. Redfern, E. Atacho, and E. K. H. Salje, Appl. Phys. Lett. 0003-6951 10.1063/1.3089690 94, 081903 (2009).
L. Goncalves-Ferreira, S. A. T. Redfern, E. Artacho, and E. K. H. Salje, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.097602 101, 097602 (2008).
M. A. Carpenter, A. I. Becerro, and F. Seifert, Am. Mineral. 86, 348 (2001).
M. A. Carpenter, Am. Mineral. 0003-004X 10.2138/am.2007.2295 92, 309 (2007). (Pubitemid 46416357)
M. A. Carpenter, C. J. Howard, K. S. Knight, and Z. Zhang, J. Phys. Condens. Matter 0953-8984 10.1088/0953-8984/18/48/002 18, 10725 (2006). (Pubitemid 46069820)
E. Bousquet (unpublished data).
Y. L. Li, S. Choudhury, J. H. Haeni, M. D. Biegalski, A. Vasudevarao, A. Sharan, H. Z. Ma, J. Levy, V. Gopalan, S. Trolier-McKinstry, D. G. Schlom, Q. X. Jia, and L. Q. Chen, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.73.184112 73, 184112 (2006). (Pubitemid 43726721)