[en] We report a first-principles study of (BaTiO3) m/ (BaO) n superlattices for a wide range of periodicities m/n. We show that such a system develops a polar zone-center instability for sufficiently large m/n ratio, which can be understood, at least qualitatively, from a simple electrostatic model and should lead to a ferroelectric ground state. However, the analysis of the phonon-dispersion curves also points out the appearance of stronger antiferroelectric instabilities at the zone boundaries around m=4, before the critical ratio for ferroelectricity is
reached and which still dominate beyond it. The dominant character of the antiferroelectric instability is
explained from the depolarizing field which hardens the ferroelectric mode. This analysis allows us to predict
that, (BaTiO3) m/ (BaO) n superlattices should present an antiferroelectric ground state for m larger than 4, which should smoothly evolve to a multidomain structure for increasing m values and only become ferroelectric for large m.
Research Center/Unit :
Physique Théorique des Matériaux
Disciplines :
Physics
Author, co-author :
Bousquet, Eric ; Université de Liège - ULiège > Département de physique > Physique théorique des matériaux
Junquera, Javier; Universidad de Cantabria, Santander, Spain > Departamento de Ciencias de la Tiera y Fisica de la Materia Condensata
Ghosez, Philippe ; Université de Liège - ULiège > Département de physique > Physique théorique des matériaux
Language :
English
Title :
First-principles study of competing ferroelectric and antiferroelectric instabilities in BaTiO3/BaO superlattices
Publication date :
2010
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
Ph. Ghosez and J. Junquera, Handbook of Theoretical and Computational Nanotechnology (ASP, Stevenson Ranch, 2006), Vol. 9, p. 623.
M. Dawber, K. M. Rabe, and J. F. Scott, Rev. Mod. Phys. 77, 1083 (2005). 10.1103/RevModPhys.77.1083
J. Junquera and Ph. Ghosez, Nature (London) 422, 506 (2003). 10.1038/nature01501
M. Stengel and N. Spaldin, Nature (London) 443, 679 (2006). 10.1038/nature05148
P. Aguado-Puente and J. Junquera, Phys. Rev. Lett. 100, 177601 (2008). 10.1103/PhysRevLett.100.177601
M. Stengel, D. Vanderbilt, and N. Spaldin, Nature Mater. 8, 392 (2009). 10.1038/nmat2429
M. Stengel, D. Vanderbilt, and N. A. Spaldin, Phys. Rev. B 80, 224110 (2009). 10.1103/PhysRevB.80.224110
B. D. Qu, W. L. Zhong, and R. H. Prince, Phys. Rev. B 55, 11218 (1997). 10.1103/PhysRevB.55.11218
A. M. George, J. Íñiguez, and L. Bellaiche, Nature (London) 413, 54 (2001). 10.1038/35092530
N. Huang, Z. Liu, Z. Wu, J. Wu, W. Duan, B.-L. Gu, and X.-W. Zhang, Phys. Rev. Lett. 91, 067602 (2003). 10.1103/PhysRevLett.91.067602
J. B. Neaton and K. M. Rabe, Appl. Phys. Lett. 82, 1586 (2003). 10.1063/1.1559651
K. Johnston, X. Huang, J. B. Neaton, and K. M. Rabe, Phys. Rev. B 71, 100103 (2005). 10.1103/PhysRevB.71.100103
M. Dawber, C. Lichtensteiger, M. Cantoni, M. Veithen, Ph. Ghosez, K. Johnston, K. M. Rabe, and J.-M. Triscone, Phys. Rev. Lett. 95, 177601 (2005). 10.1103/PhysRevLett.95.177601
E. Bousquet, M. Dawber, N. Stucki, C. Lichtensteiger, P. Hermet, S. Gariglio, J.-M. Triscone, and Ph. Ghosez, Nature (London) 452, 732 (2008). 10.1038/nature06817
M. Sepliarsky, S. R. Phillpot, D. Wolf, M. G. Stachiotti, and R. L. Migoni, Phys. Rev. B 64, 060101 (2001). 10.1103/PhysRevB.64.060101
T. Shimuta, O. Nakagawara, T. Makino, S. Arai, H. Tabata, and T. Kawai, J. Appl. Phys. 91, 2290 (2002). 10.1063/1.1434547
E. D. Specht, H.-M. Christen, D. P. Norton, and L. A. Boatner, Phys. Rev. Lett. 80, 4317 (1998). 10.1103/PhysRevLett.80.4317
J. Sigman, D. P. Norton, H. M. Christen, P. H. Fleming, and L. A. Boatner, Phys. Rev. Lett. 88, 097601 (2002). 10.1103/PhysRevLett.88.097601
V. A. Stephanovich, I. A. Luk'yanchuk, and M. G. Karkut, Phys. Rev. Lett. 94, 047601 (2005). 10.1103/PhysRevLett.94.047601
F. A. Urtiev, V. G. Kukhar, and N. A. Pertsev, Appl. Phys. Lett. 90, 252910 (2007). 10.1063/1.2751134
H. N. Lee, H. N. Christen, M. F. Chrisholm, C. M. Rouleau, and D. H. Lowndes, Nature (London) 433, 395 (2005). 10.1038/nature03261
H. M. Christen, E. D. Specht, S. S. Silliman, and K. S. Harshavardhan, Phys. Rev. B 68, 020101 (2003). 10.1103/PhysRevB.68.020101
T. Tsurumi, T. Harigai, D. Tanaka, S.-M. Nam, H. Kakemoto, S. Wada, and K. Saito, Appl. Phys. Lett. 85, 5016 (2004). 10.1063/1.1825057
R. A. McKee, F. J. Walker, and M. F. Chisholm, Phys. Rev. Lett. 81, 3014 (1998). 10.1103/PhysRevLett.81.3014
J. Junquera, M. Zimmer, P. Ordejón, and Ph. Ghosez, Phys. Rev. B 67, 155327 (2003). 10.1103/PhysRevB.67.155327
S. N. Ruddlesden and P. Popper, Acta Crystallogr. 10, 538 (1957). 10.1107/S0365110X57001929
S. M. Nakhmanson, Phys. Rev. B 78, 064107 (2008). 10.1103/PhysRevB.78. 064107
S. M. Nakhmanson and I. Naumov, Phys. Rev. Lett. 104, 097601 (2010). 10.1103/PhysRevLett.104.097601
X. Gonze, J.-M. Beuken, R. Caracas, F. Detraux, M. Fuchs, G.-M. Rignanese, L. Sindic, M. Verstraete, G. Zerah, F. Jollet, M. Torrent, A. Roy, M. Mikami, Ph. Ghosez, J.-Y. Raty, and D. Allan, Comput. Mater. Sci. 25, 478 (2002). 10.1016/S0927-0256(02)00325-7
M. Teter, Phys. Rev. B 48, 5031 (1993). 10.1103/PhysRevB.48.5031
X. Gonze and C. Lee, Phys. Rev. B 55, 10355 (1997). 10.1103/PhysRevB.55. 10355
R. A. McKee, F. J. Walker, J. R. Conner, E. D. Speccht, and D. E. Zelmon, Appl. Phys. Lett. 59, 782 (1991). 10.1063/1.105341
R. A. McKee, F. J. Walker, and M. F. Chisholm, Science 293, 468 (2001). 10.1126/science.293.5529.468
Experimentally, the lattice constants of BaO and SrTiO 3 fit nearly exactly. The small epitaxial strain of 0.5% that we report, together with the underestimate of ω TO (and the related overestimate of the dielectric constant), is an artifact of the LDA but BaO remains properly described as a paraelectric so that it does not affect our main conclusions.
E. Bousquet, N. A. Spaldin, and Ph. Ghosez, Phys. Rev. Lett. 104, 037601 (2010). 10.1103/PhysRevLett.104.037601
O. Diéguez, K. M. Rabe, and D. Vanderbilt, Phys. Rev. B 72, 144101 (2005). 10.1103/PhysRevB.72.144101
N. Sai, K. M. Rabe, and D. Vanderbilt, Phys. Rev. B 66, 104108 (2002). 10.1103/PhysRevB.66.104108
We checked that taking into account the relaxation of c with respect to the polarization does not affect the model predictions.
Ph. Ghosez, J.-P. Michenaud, and X. Gonze, Phys. Rev. B 58, 6224 (1998). 10.1103/PhysRevB.58.6224
Ph. Ghosez, E. Cockayne, U. V. Waghmare, and K. M. Rabe, Phys. Rev. B 60, 836 (1999). 10.1103/PhysRevB.60.836
G. Geneste, E. Bousquet, and Ph. Ghosez, J. Comput. Theor. Nanosci. 5, 517 (2008). 10.1166/jctn.2008.010