DOI: 10.1063/1.3442915. A modified Landau–Devonshire thermodynamic potential for strontium titanate

A modified Landau–Devonshire thermodynamic potential for strontium titanate

10.1063/1.3442915

Crossref journal-article

AIP Publishing

Applied Physics Letters (317)

Abstract

The range of reported values of the Landau energy coefficients of bulk SrTiO3 leads to uncertainty in not only the magnitude but also the direction of the calculated spontaneous polarization in SrTiO3 thin films in a state of biaxial tension. In this study, we use experimental results from strained SrTiO3 films together with phase-field simulations to refine the values of the Landau energy coefficients and report a modified thermodynamic potential for bulk strontium titanate. The transition temperatures and ferroelectric/antiferrodistortive domain stabilities predicted from this modified potential agree well with measurements on biaxially strained SrTiO3 thin films.

Bibliography

Sheng, G., Li, Y. L., Zhang, J. X., Choudhury, S., Jia, Q. X., Gopalan, V., Schlom, D. G., Liu, Z. K., & Chen, L. Q. (2010). A modified LandauâDevonshire thermodynamic potential for strontium titanate. Applied Physics Letters, 96(23).

Authors 9

G. Sheng (first)
Y. L. Li (additional)
J. X. Zhang (additional)
S. Choudhury (additional)
Q. X. Jia (additional)
V. Gopalan (additional)
D. G. Schlom (additional)
Z. K. Liu (additional)
L. Q. Chen (additional)

References 23 Referenced 45

10.1063/1.1661463 / J. Appl. Phys. (1972)
10.1143/JPSJ.23.546 / J. Phys. Soc. Jpn. (1967)
10.1103/PhysRevLett.21.16 / Phys. Rev. Lett. (1968)
10.1103/PhysRev.177.858 / Phys. Rev. (1969)
10.1103/PhysRevLett.21.1256 / Phys. Rev. Lett. (1968)
10.1103/PhysRevB.61.R825 / Phys. Rev. B (2000)
10.1103/PhysRevB.65.219901 / Phys. Rev. B (2002)
10.1103/PhysRevB.64.224107 / Phys. Rev. B (2001)
10.1103/PhysRevB.71.024102 / Phys. Rev. B (2005)
10.1103/PhysRevB.73.184112 / Phys. Rev. B (2006)
10.1103/PhysRevB.79.224117 / Phys. Rev. B (2009)
10.1126/science.1169678 / Science (2009)
10.1038/nature02773 / Nature (London) (2004)
10.1063/1.2773680 / J. Appl. Phys. (2007)
10.1063/1.3271179 / Appl. Phys. Lett. (2009)
10.1063/1.2921789 / Appl. Phys. Lett. (2008)
10.1103/PhysRev.174.613 / Phys. Rev. (1968)
10.1016/S1359-6454(01)00360-3 / Acta Mater. (2002)
10.1063/1.1849820 / J. Appl. Phys. (2005)
10.1103/PhysRevB.13.271 / Phys. Rev. B (1976)
{'key': '2023073108583745200_c20'}
10.1080/00150190802437746 / Ferroelectrics (2008)
10.1063/1.2198088 / Appl. Phys. Lett. (2006)

Dates

Type	When
Created	15 years, 2 months ago (June 7, 2010, 6:38 p.m.)
Deposited	2 years ago (July 31, 2023, 4:58 a.m.)
Indexed	2 weeks, 6 days ago (Aug. 2, 2025, 1:06 a.m.)
Issued	15 years, 2 months ago (June 7, 2010)
Published	15 years, 2 months ago (June 7, 2010)
Published Online	15 years, 2 months ago (June 7, 2010)
Published Print	15 years, 2 months ago (June 7, 2010)

Funders 0

None

BibTeX

@article{Sheng_2010, title={A modified Landau–Devonshire thermodynamic potential for strontium titanate}, volume={96}, ISSN={1077-3118}, url={http://dx.doi.org/10.1063/1.3442915}, DOI={10.1063/1.3442915}, number={23}, journal={Applied Physics Letters}, publisher={AIP Publishing}, author={Sheng, G. and Li, Y. L. and Zhang, J. X. and Choudhury, S. and Jia, Q. X. and Gopalan, V. and Schlom, D. G. and Liu, Z. K. and Chen, L. Q.}, year={2010}, month=jun }

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