Research Paper

Review and Prospect of First-principles Calculations on Piezoelectric Materials

  • XIN Jun ,
  • ZHENG Yan-Qing ,
  • SHI Er-Wei
Expand
  • Shanghai Institute of Ceramics, Chinese Academy of Sciences, Shanghai 200050, China

Received date: 2006-03-27

  Revised date: 2006-06-26

  Online published: 2007-03-20

Abstract

The first-principles calculations were widely used in many different fields of materials science. Most of the calculations were based on the density functional theory. Starting from the density functional theory (DFT), we first summarized the theory of first-principles calculations in detail, then we introduced how to get the piezoelectric constants, dielectric constants etc by using the density functional perturbation theory (DFPT) and the Berry-phase theory. We summarized the recent literatures about the first-principles calculations of piezoelectric properties. In the end we summed up the problem existed nowadays and foresaw the future.

Cite this article

XIN Jun , ZHENG Yan-Qing , SHI Er-Wei . Review and Prospect of First-principles Calculations on Piezoelectric Materials[J]. Journal of Inorganic Materials, 2007 , 22(2) : 193 -200 . DOI: 10.3724/SP.J.1077.2007.00193

References

[1] Bayer L L, Cohen R E, Krahauer H, et al. Ferroelectrics, 1990, 111: 1--7.
[2] Hohenberg P, Kohn W. Phys. Rev. B, 1964, 136: 864--871.
[3] Kohn W, Sham L J. Phys. Rev. A, 1965, 140: 1133--1138.
[4] Slater J. Phys. Rev, 1951, 81: 385.
[5] Perdew J P, Barke K, Ernzerhof M. Phys. Rev. Lett, 1996, 77: 3865--3868.
[6] Mozin I I, Singh D J. First-principles Calculations for Ferroelectrics. New York: American Institute of Physics, 1998. 251. [7] Wu Z, Cohen R E and Singh D J. Phys. Rev. B, 2004, 70: 104112.
[8] Vanderbilt D. Curr. Opin. Solid. State. Mater., 1997, 2: 701--705.
[9] Cohen R E, Krakauer H. Phys. Rev B, 1990, 42: 6416--6423.
[10] Kerker G P. Phys. C, 1980, 13: 189.
[11] Fermi. Nuovo Cimento, 1934, 11: 157.
[12] Phillips J C, Kleinman L. Phys. Rev, 1959, 116: 287.
[13] Zanger A, Cohen M L. Phys. C, 1979, 12: 4409.
[14] Pickett W E. Comput. Phys. Rep., 1989, 9: 115.
[15] Kingsmith R D, Vanderbilt D. Phys. Rev. B, 1993, 47: 1651--1654.
[16] 张沛霖, 钟维烈, 等. 压电材料与器件物理. 济南: 山东科学技术出版社, 1997. 4.
[17] Zhang Q M, Wang H, Kim N, et al. Appl. Phys., 1993, 75: 454.
[18] Cohen R E. Journal of Physics and Chemistry of Solids, 2000, 64: 139--146. [19] Wu X, Vanderbilt D, Hamann D R. Phys. Rev. B, 2005, 72: 035105.
[20] Martin R M. Phys. Rev. B, 1972, 5: 1 607.
[21] 李震宇, 贺伟, 杨金龙. 化学进展, 2005, 17: 192--202.
[22] Vanderbilt D. Journal of Physics and Chemistry of Solids, 2000, 61: 147--151.
[23] Wu Z, Krakauer H. Phys. Rev. B, 2003, 68: 014112.
[24] Bellaiche L. Current Opinion in Solid State and Materials Science, 2002, 6: 19--25.
[25] Zoroddu A, Bernardini F, Ruggerone P. Phys. Rev. B, 2001, 64: 045208.
[26] Veithen M, Ghosez P. Phys. Rev. B, 2002, 65: 214302.
[27] Ramer N J, Rappe A M. Phys. Rev. B, 2000, 62: R743--R746.
[28] Bellaiche L, Garcia A, Vanderbilt D. Phys. Rev. Lett., 2000, 84: 5427--5430.
[29] Hemphill R, Bellaiche L, Garcia L, et al. Appl. Phys. Lett., 2000, 77: 3642--3644.
[30] Ramer N J, Rappe A M. Journal of Physics and Chemistry of Sdids, 2000, 61: 315--360.
[31] Yacoub A AL, Bellaiche L, Wei S. Phys. Rev. Lett, 2002, 89: 057601.
[32] Bernardini F, Fiorentini V, Vanderbilt, Phys. Rev. B, 1997, 56: R10024--R10027.
[33] Nakhmanson S M, Nardelli M B, Bernholc J. Phys. Rev. Lett., 2004, 92: 115504. [34] Bellaiche L, Vanderbilt D. Phys. Rev. Lett., 1999, 83: 1347--1350.
[35] Yacoub A AL, Bellaiche L. Appl. Phys. Lett., 2001, 79: 2166--2169.
[36] Saghi-Szabo G, Cohen R E, Krakauer. Phys. Rev. Lett., 1998, 80: 4321--4324.
[37] Li Z, Yang J, Hou J G, et al. Phys. Rev. B, 2004, 70: 144518.
[38] Hill N A, Waghmare U. Phys. Rev B, 2000, 62: 8802--8810.
[39] Corso A D, Posternak M, Resta R, et al. Phys. Rev. B, 1994, 50: 10715--10721.
[40] Gopal P, Spaldin N A, Waghmare U. Phys. Rev. B, 2004, 70: 205104.
[41] Corso A D, Resta R, Baroni S. Phys. Rev. B, 1993, 47: 16252--16256.
Outlines

/