Emergent Berezinskii-Kosterlitz-Thouless Phase in Low-Dimensional Ferroelectrics

Barium titanate; Thin films; Tensile strain; Ultrathin films; Critical behavior; Effective Hamiltonian; Ferroelectric phase; First principles; Kosterlitz-Thouless; Low dimensional; Paraelectrics; Ferroelectric materials

Abstract :

[en] Using first-principles-based simulations merging an effective Hamiltonian scheme with scaling, symmetry, and topological arguments, we find that an overlooked Berezinskii-Kosterlitz-Thouless (BKT) phase sustained by quasicontinuous symmetry emerges between the ferroelectric phase and the paraelectric one of BaTiO3 ultrathin film, being under tensile strain. Not only do these results provide an extension of BKT physics to the field of ferroelectrics, but they also unveil their nontrivial critical behavior in low dimensions. © 2017 American Physical Society.

Disciplines :

Physics

Author, co-author :

Nahas, Yousra ; Université de Liège - ULiège > Département de physique > Physique théorique des matériaux

Prokhorenko, Sergei ; Université de Liège - ULiège > Département de physique > Physique théorique des matériaux

Kornev, I.; Laboratoire Structures, Propriétés et Modélisation des Solides, CentraleSupélec, Châtenay-Malabry, France

Bellaiche, L.; Physics Department and Institute for Nanoscience and Engineering, University of Arkansas, Fayetteville, AK, United States

Language :

English

Title :

Emergent Berezinskii-Kosterlitz-Thouless Phase in Low-Dimensional Ferroelectrics

Publication date :

2017

Journal title :

Physical Review Letters

ISSN :

0031-9007

eISSN :

1079-7114

Publisher :

American Physical Society

Volume :

119

Issue :

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 22 February 2018

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Bibliography

N. D. Mermin and H. Wagner, Phys. Rev. Lett. 17, 1133 (1966). PRLTAO 0031-9007 10.1103/PhysRevLett.17.1133
P. C. Hohenberg, Phys. Rev. 158, 383 (1967). PHRVAO 0031-899X 10.1103/PhysRev.158.383
V. L. Berezinskii, ZhETF 61, 1144 (1972) SPHJAR 0038-5646
[V. L. Berezinskii Sov. Phys. JETP 34, 610 (1972)]. SPHJAR 0038-5646
J. M. Kosterlitz and D. J. Thouless, J. Phys. C 6, 1181 (1973). JPSOAW 0022-3719 10.1088/0022-3719/6/7/010
40 Years of Berezinskii-Kosterlitz-Thouless Theory, edited by J. V. José (World Scientific Publishing Co. Pte. Ltd., Singapore, 2013).
D. J. Bishop and J. D. Reppy, Phys. Rev. Lett. 40, 1727 (1978). PRLTAO 0031-9007 10.1103/PhysRevLett.40.1727
M. R. Beasley, J. E. Mooij, and T. P. Orlando, Phys. Rev. Lett. 42, 1165 (1979). PRLTAO 0031-9007 10.1103/PhysRevLett.42.1165
A. F. Hebard and A. T. Fiory, Phys. Rev. Lett. 44, 291 (1980). PRLTAO 0031-9007 10.1103/PhysRevLett.44.291
S. A. Wolf, D. U. Gubser, W. W. Fuller, J. C. Garland, and R. S. Newrock, Phys. Rev. Lett. 47, 1071 (1981). PRLTAO 0031-9007 10.1103/PhysRevLett.47.1071
J. Frohlich and T. Spencer, Commun. Math. Phys. 81, 527 (1981). CMPHAY 0010-3616 10.1007/BF01208273
D. J. Resnick, J. C. Garland, J. T. Boyd, S. Shoemaker, and R. S. Newrock, Phys. Rev. Lett. 47, 1542 (1981). PRLTAO 0031-9007 10.1103/PhysRevLett.47.1542
P. E. Lammert, D. S. Rokhsar, and J. Toner, Phys. Rev. Lett. 70, 1650 (1993). PRLTAO 0031-9007 10.1103/PhysRevLett.70.1650
P. G. Maier and F. Schwabl, Condens. Matter Phys. 8, 103 (2005). CMPHF5 1607-324X 10.5488/CMP.8.1.103
S. V. Maleev, ZhETF 70, 2374 (1976) SPHJAR 0038-5646
[S. V. Maleev Sov. Phys. JETP 43, 1240 (1976)]. SPHJAR 0038-5646
P. G. Maier and F. Schwabl, Phys. Rev. B 70, 134430 (2004). PRBMDO 1098-0121 10.1103/PhysRevB.70.134430
M. V. Feigel'man, ZhETF 76, 784 (1979) SPHJAR 0038-5646
[M. V. Feigel'man Sov. Phys. JETP 49, 395 (1979)]. SPHJAR 0038-5646
P. O. Fedichev and L. I. Menshikov, Phys. Part. Nucl. Lett. 9, 71 (2012). PPNLBV 1547-4771 10.1134/S1547477112010098
A. Y. Vasiliev, A. E. Tarkhov, L. I. Menshikov, P. O. Fedichev, and U. R. Fischer, New J. Phys. 16, 053011 (2014). NJOPFM 1367-2630 10.1088/1367-2630/16/5/053011
S. Miyashita, H. Nishimori, A. Kuroda, and M. Suzuki, Prog. Theor. Phys. 60, 1669 (1978). PTPKAV 0033-068X 10.1143/PTP.60.1669
K. Binder, Z. Phys. B 43, 119 (1981); ZPCMDN 0722-3277 10.1007/BF01293604
K. Binder, Phys. Rev. Lett. 47, 693 (1981); PRLTAO 0031-9007 10.1103/PhysRevLett.47.693
K. Binder, M. Nauenberg, V. Privman, and A. P. Young, Phys. Rev. B 31, 1498 (1985); PRBMDO 0163-1829 10.1103/PhysRevB.31.1498
K. Binder and D. W. Heermann, Monte Carlo Simulations in Statistical Physics: An Introduction (Springer-Verlag, New York, 1988);
D. P. Landau and K. Binder, A Guide to Monte Carlo Simulations in Statistical Physics (Cambridge University Press, New York, 2005);
Application of the Monte Carlo Method in Statistical Physics, edited by K. Binder (Springer-Verlag, Berlin, 1984).
R. Blinc, Ferroelectrics 301, 3 (2004). FEROA8 0015-0193 10.1080/00150190490464845
J. Hlinka, T. Ostapchuk, D. Nuzhnyy, J. Petzelt, P. Kuzel, C. Kadlec, P. Vanek, I. Ponomareva, and L. Bellaiche, Phys. Rev. Lett. 101, 167402 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.167402
R. Comes, M. Lambert, and A. Guinier, Solid State Commun. 6, 715 (1968). SSCOA4 0038-1098 10.1016/0038-1098(68)90571-1
See Supplemental Material http://link.aps.org/supplemental/10.1103/PhysRevLett.119.117601 for additional methodological information and discussions, which includes Refs. [25-39].
L. Walizer, S. Lisenkov, and L. Bellaiche, Phys. Rev. B 73, 144105 (2006). PRBMDO 1098-0121 10.1103/PhysRevB.73.144105
I. Ponomareva, I. I. Naumov, I. A. Kornev, H. Fu, and L. Bellaiche, Phys. Rev. B 72, 140102R (2005). PRBMDO 1098-0121 10.1103/PhysRevB.72.140102
M. S. S. Challa and D. P. Landau, Phys. Rev. B 33, 437 (1986). PRBMDO 0163-1829 10.1103/PhysRevB.33.437
D. P. Landau, J. Magn. Magn. Mater. 31-34, 1115 (1983). JMMMDC 0304-8853 10.1016/0304-8853(83)90821-1
E. Almahmoud, I. A. Kornev, and L. Bellaiche, Phys. Rev. B 81, 064105 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.81.064105
A. M. Ferrenberg and R. H. Swendsen, Phys. Rev. Lett. 61, 2635 (1988). PRLTAO 0031-9007 10.1103/PhysRevLett.61.2635
D. Loison, J. Phys. Condens. Matter 11, L401 (1999). JCOMEL 0953-8984 10.1088/0953-8984/11/34/101
M. E. Fisher, Rep. Prog. Phys. 30, 615 (1967). RPPHAG 0034-4885 10.1088/0034-4885/30/2/306
A. Aharony and M. E. Fisher, Phys. Rev. B 8, 3323 (1973). PLRBAQ 0556-2805 10.1103/PhysRevB.8.3323
E. Almahmoud, I. A. Kornev, and L. Bellaiche, Phys. Rev. Lett. 102, 105701 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.105701
M. Stachiotti, A. Dobry, R. Migoni, and A. Bussmann-Holder, Phys. Rev. B 47, 2473 (1993). PRBMDO 0163-1829 10.1103/PhysRevB.47.2473
T. Hidaka, J. Phys. Soc. Jpn. 61, 1054 (1992). JUPSAU 0031-9015 10.1143/JPSJ.61.1054
I. Ponomareva, L. Bellaiche, T. Ostapchuk, J. Hlinka, and J. Petzelt, Phys. Rev. B 77, 012102 (2008). PRBMDO 1098-0121 10.1103/PhysRevB.77.012102
E. K. H. Salje, M. A. Carpenter, G. F. Nataf, G. Picht, K. Webber, J. Weerasinghe, S. Lisenkov, and L. Bellaiche, Phys. Rev. B 87, 014106 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.87.014106
J. Weerasinghe, L. Bellaiche, T. Ostapchuk, P. Kuel, C. Kadlec, S. Lisenkov, I. Ponomareva, and J. Hlinka, MRS Commun. 3, 41 (2013). 2159-6859 10.1557/mrc.2013.5
J. F. Scott, Ferroelectric Memories (Springer-Verlag, Berlin, 2000).
A. Aharony and A. D. Bruce, Phys. Rev. Lett. 33, 427 (1974). PRLTAO 0031-9007 10.1103/PhysRevLett.33.427
M. E. Fisher, Rev. Mod. Phys. 46, 597 (1974). RMPHAT 0034-6861 10.1103/RevModPhys.46.597
F. Wang and D. P. Landau, Phys. Rev. Lett. 86, 2050 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.86.2050
S. Bin-Omran, I. A. Kornev, and L. Bellaiche, Phys. Rev. B 93, 014104 (2016). PRBMDO 2469-9950 10.1103/PhysRevB.93.014104
N. A. Pertsev, A. G. Zembilgotov, and A. K. Tagantsev, Phys. Rev. Lett. 80, 1988 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.80.1988
M. E. J. Newman and G. T. Barkema, Monte Carlo Methods in Statistical Physics (Oxford University Press, New York, 1999).
S. Prokhorenko, Y. Nahas, and L. Bellaiche, Phys. Rev. Lett. 118, 147601 (2017). PRLTAO 0031-9007 10.1103/PhysRevLett.118.147601
J. V. José, L. P. Kadanoff, S. Kirkpatrick, and D. R. Nelson, Phys. Rev. B 16, 1217 (1977). PLRBAQ 0556-2805 10.1103/PhysRevB.16.1217
G. Ortiz, E. Cobanera, and Z. Nussinov, Nucl. Phys. B854, 780 (2012). NUPBBO 0550-3213 10.1016/j.nuclphysb.2011.09.012
E. Rastelli, S. Regina, and A. Tassi, Phys. Rev. B 70, 174447 (2004). PRBMDO 1098-0121 10.1103/PhysRevB.70.174447
Y. Nahas, S. Prokhorenko, L. Louis, Z. Gui, I. A. Kornev, and L. Bellaiche, Nat. Commun. 6, 8542 (2015). NCAOBW 2041-1723 10.1038/ncomms9542
Y. Nahas, S. Prokhorenko, and L. Bellaiche, Phys. Rev. Lett. 116, 117603 (2016). PRLTAO 0031-9007 10.1103/PhysRevLett.116.117603
N. D. Mermin, Rev. Mod. Phys. 51, 591 (1979). RMPHAT 0034-6861 10.1103/RevModPhys.51.591
J. Tobochnik and G. V. Chester, Phys. Rev. B 20, 3761 (1979). PRBMDO 0163-1829 10.1103/PhysRevB.20.3761