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Within the framework of effective-field theory with correlations, phase transition properties of ferroelectric thin films with different symmetrical surfaces described by the spin-1/2 transverse field Ising model are studied systematically by the differential operator technique. According to the coupling equations with the layer polarization average, the analytical general equations for phase diagrams of multiple-surface ferroelectric thin films with different surface layers have been derived. Then, effects of various parameter modifications on the crossover values from the FPD (ferroelectric-dominant phase diagram) to the PPD (paraelectric-dominant phase diagram) and phase transition regions in the parameter space are discussed in detail. In comparison with the mean-field approximation, the results indicate that the effective-field theory with correlations maybe reduce the ferroelectricity of the ferroelectric thin films more exaggeratedly than the mean-field approximation to some extent.
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Keywords:
- ferroelectric thin film /
- transverse Ising model /
- phase diagram /
- Curie temperature
[1] Scott J F 2007 Science 315 954
[2] Damjanovic D 1998 Rep. Prog. Phys. 61 1267
[3] Dawber M, Rabe K M, Scott J F 2005 Rev. Mod. Phys. 77 1083
[4] Zhong W L, Wang Y G, Zhang P L, Qu B D 1994 Phys. Rev. B 50 698
[5] Lu T Q, Cao W W 2002 Phys. Rev. B 66 24102
[6] Lin S, Lu T Q, Cao W W 2006 Phys. Stat. Sol. (b) 243 2952
[7] Sun P N, Cui L, Lu T Q 2009 Chin. Phys. B 18 1658
[8] Zhou Z D, Zhang C Z, Zhang Y 2010 Acta Phys. Sin. 59 6620 (in Chinese) [周志东, 张春祖, 张颖 2010 59 6620]
[9] L Y G, Liang X L, Gong Y Q, Zheng X J, Liu Z Z 2010 Acta Phys. Sin. 59 8167 (in Chinese) [吕业刚, 梁晓琳, 龚跃球, 郑学军, 刘志壮 2010 59 8167]
[10] Wang C L, Zhong W L, Zhang P L 1992 J. Phys.: Condens. Matter 4 4743
[11] Wang C L, Smith S R P, Tilley D R 1994 J. Phys.: Condens. Matter 6 9633
[12] Sy H K 1993 J. Phys.: Condens. Matter 5 1213
[13] Wang X G, Pan S H, Yang G Z 1999 J. Phys.: Condens. Matter 11 6581
[14] Tao Y M, Jiang Q, Cao H X 2005 Acta Phys. Sin. 54 0274 (in Chinese) [陶永梅, 蒋青, 曹海霞 2005 54 0274]
[15] Sun P N, Lu T Q, Chen H, Cao W W 2008 Chin. Phys. Lett. 25 3422
[16] Chen H, Lu T Q, Cui L, Cao W W 2008 Physica A 387 1963
[17] Zhou J, Lu T Q, Xie W G, Cao W W 2009 Chin. Phys. B 18 3054
[18] Cui L, Lu T Q, Sun P N, Xue H J 2010 Chin. Phys. B 19 077701
[19] Cui L, Xu Q, Han Z Y, Xu X 2012 Chin. Phys. Lett. 29 037701
[20] Teng B H, Sy H K 2004 Physica B 348 485
[21] Lu Z X, Teng B H, Lu X H, Zhang X J, Wang C D 2009 Solid State Commun. 149 1176
[22] Lu Z X 2013 Phys. Scr. 87 025002
[23] Lu Z X 2012 Physica A (submitted)
[24] Wei G Z, Liu J, Miao H L, Du A 2007 Phys. Rev. B 76 054402
[25] Teng B H, Sy H K 2004 Phys. Rev. B 70 104115
[26] Lu Z X, Teng B H, Yang X, Rong Y H, Zhang H W 2010 Chin. Phys. B 19 127701
[27] Kaneyoshi T 1993 Acta Phys. Pol. A 83 703
[28] Kaneyoshi T 2003 Physica A 319 355
[29] Jiang W, Lo V C 2008 Physica A 387 6778
[30] Arhchoui H, El Amraoui Y, Mezzane D, Luk'yanchuk I 2009 Eur. Phys. J. Appl. Phys. 48 10503
[31] Lu Z X, Teng B H, Rong Y H, Lu X H, Yang X 2010 Phys. Scr. 81 035004
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[1] Scott J F 2007 Science 315 954
[2] Damjanovic D 1998 Rep. Prog. Phys. 61 1267
[3] Dawber M, Rabe K M, Scott J F 2005 Rev. Mod. Phys. 77 1083
[4] Zhong W L, Wang Y G, Zhang P L, Qu B D 1994 Phys. Rev. B 50 698
[5] Lu T Q, Cao W W 2002 Phys. Rev. B 66 24102
[6] Lin S, Lu T Q, Cao W W 2006 Phys. Stat. Sol. (b) 243 2952
[7] Sun P N, Cui L, Lu T Q 2009 Chin. Phys. B 18 1658
[8] Zhou Z D, Zhang C Z, Zhang Y 2010 Acta Phys. Sin. 59 6620 (in Chinese) [周志东, 张春祖, 张颖 2010 59 6620]
[9] L Y G, Liang X L, Gong Y Q, Zheng X J, Liu Z Z 2010 Acta Phys. Sin. 59 8167 (in Chinese) [吕业刚, 梁晓琳, 龚跃球, 郑学军, 刘志壮 2010 59 8167]
[10] Wang C L, Zhong W L, Zhang P L 1992 J. Phys.: Condens. Matter 4 4743
[11] Wang C L, Smith S R P, Tilley D R 1994 J. Phys.: Condens. Matter 6 9633
[12] Sy H K 1993 J. Phys.: Condens. Matter 5 1213
[13] Wang X G, Pan S H, Yang G Z 1999 J. Phys.: Condens. Matter 11 6581
[14] Tao Y M, Jiang Q, Cao H X 2005 Acta Phys. Sin. 54 0274 (in Chinese) [陶永梅, 蒋青, 曹海霞 2005 54 0274]
[15] Sun P N, Lu T Q, Chen H, Cao W W 2008 Chin. Phys. Lett. 25 3422
[16] Chen H, Lu T Q, Cui L, Cao W W 2008 Physica A 387 1963
[17] Zhou J, Lu T Q, Xie W G, Cao W W 2009 Chin. Phys. B 18 3054
[18] Cui L, Lu T Q, Sun P N, Xue H J 2010 Chin. Phys. B 19 077701
[19] Cui L, Xu Q, Han Z Y, Xu X 2012 Chin. Phys. Lett. 29 037701
[20] Teng B H, Sy H K 2004 Physica B 348 485
[21] Lu Z X, Teng B H, Lu X H, Zhang X J, Wang C D 2009 Solid State Commun. 149 1176
[22] Lu Z X 2013 Phys. Scr. 87 025002
[23] Lu Z X 2012 Physica A (submitted)
[24] Wei G Z, Liu J, Miao H L, Du A 2007 Phys. Rev. B 76 054402
[25] Teng B H, Sy H K 2004 Phys. Rev. B 70 104115
[26] Lu Z X, Teng B H, Yang X, Rong Y H, Zhang H W 2010 Chin. Phys. B 19 127701
[27] Kaneyoshi T 1993 Acta Phys. Pol. A 83 703
[28] Kaneyoshi T 2003 Physica A 319 355
[29] Jiang W, Lo V C 2008 Physica A 387 6778
[30] Arhchoui H, El Amraoui Y, Mezzane D, Luk'yanchuk I 2009 Eur. Phys. J. Appl. Phys. 48 10503
[31] Lu Z X, Teng B H, Rong Y H, Lu X H, Yang X 2010 Phys. Scr. 81 035004
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