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Volumn 94, Issue 17, 2009, Pages

Stability of a ferroelectric phase with electrical domains in multilayers

Author keywords

[No Author keywords available]

Indexed keywords

DEPOLARIZING FIELDS; DOMAIN WALL ENERGIES; ELECTRICAL DOMAINS; FERROELECTRIC LAYERS; FERROELECTRIC PHASE; FERROELECTRIC STATE; MULTI DOMAINS; PARAELECTRIC; PARAELECTRIC STATE; SINGLE DOMAINS; SINGLE-DOMAIN STATE;

EID: 65449182772     PISSN: 00036951     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3129872     Document Type: Article
Times cited : (4)

References (22)
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  • 4
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    • Erbil, A.1    Kim, Y.2    Gerhardt, R.A.3
  • 7
  • 13
    • 34547396948 scopus 로고    scopus 로고
    • See for example, 0003-6951, () 10.1063/1.2751134;, J. Appl. Phys. 0021-8979 103, 124106 (2008). 10.1063/1.2939588
    • See for example F. A. Urtiev, V. G. Kukhar, and N. A. Pertsev Appl. Phys. Lett. 0003-6951, 90, 252910 (2007) 10.1063/1.2751134; J. H. Lee, U. V. Waghmare, and J. J. Yu, J. Appl. Phys. 0021-8979 103, 124106 (2008). 10.1063/1.2939588
    • (2007) Appl. Phys. Lett. , vol.90 , pp. 252910
    • Urtiev, F.A.1    Kukhar, V.G.2    Pertsev, N.A.3    Lee, J.H.4    Waghmare, U.V.5    Yu, J.J.6
  • 14
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    • A. M. Bratkovsky and A. P. Levanyuk, Phys. Rev. Lett. 0031-9007 84, 3177 (2000). 10.1103/PhysRevLett.84.3177
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 3177
    • Bratkovsky, A.M.1    Levanyuk, A.P.2
  • 15
    • 0035896856 scopus 로고    scopus 로고
    • 0031-9007,. 10.1103/PhysRevLett.86.3642
    • A. M. Bratkovsky and A. P. Levanyuk, Phys. Rev. Lett. 0031-9007 86, 3642 (2001). 10.1103/PhysRevLett.86.3642
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 3642
    • Bratkovsky, A.M.1    Levanyuk, A.P.2
  • 17
    • 65449143775 scopus 로고    scopus 로고
    • For fully coherent BT-ST on (001) ST, the pseudocubic misfit strain is used that has a value of -2.54% (compression) and for fully coherent PT-ST on (001) ST -1.18% (compression). The net strain changes with electrostrictive effects below TC that is self-consistently taken into account in the calculations.
    • For fully coherent BT-ST on (001) ST, the pseudocubic misfit strain is used that has a value of -2.54% (compression) and for fully coherent PT-ST on (001) ST -1.18% (compression). The net strain changes with electrostrictive effects below TC that is self-consistently taken into account in the calculations.
  • 18
    • 11744388456 scopus 로고    scopus 로고
    • Free energy coefficients for BT, PT, and ST and how strain modifies these can be found in, 0031-9007, () 10.1103/PhysRevLett.80.1988;, Ferroelectrics 0015-0193 99, 45 (1989);, Phys. Rev. B 0163-1829 61, R825 (2000) (Sij of components can also be found from the references cited herein. The elastic energy does not significantly alter the domain stabilities as there is nearly two orders of magnitude energy difference between the pure elastic energy and the polarization energy and exists in both MD and SD). 10.1103/PhysRevB.61.R825
    • Free energy coefficients for BT, PT, and ST and how strain modifies these can be found in N. A. Pertsev, A. G. Zembilgotov, and A. K. Tagantsev, Phys. Rev. Lett. 0031-9007 80, 1988 (1998) 10.1103/PhysRevLett.80.1988; M. J. Haun, Z. Q. Zhuang, E. Furman, S. J. Jang, and L. E. Cross, Ferroelectrics 0015-0193 99, 45 (1989); N. A. Pertsev, A. K. Tagantsev, and N. Setter, Phys. Rev. B 0163-1829 61, R825 (2000) (Sij of components can also be found from the references cited herein. The elastic energy does not significantly alter the domain stabilities as there is nearly two orders of magnitude energy difference between the pure elastic energy and the polarization energy and exists in both MD and SD). 10.1103/PhysRevB.61.R825
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 1988
    • Pertsev, N.A.1    Zembilgotov, A.G.2    Tagantsev, A.K.3    Haun, M.J.4    Zhuang, Z.Q.5    Furman, E.6    Jang, S.J.7    Cross, L.E.8    Pertsev, N.A.9    Tagantsev, A.K.10    Setter, N.11
  • 19
    • 65449188505 scopus 로고    scopus 로고
    • The original form of the DW energy is a δ2 (dP/dx) 2 and acts as an energy penalty for spatial variations for a polarization wave propagating along x -axis (P ⊥x) with a being a function of the Curie point and δ is the correlation length, also expressed as (a δ2 /Δ x2) (Pi - Pi-1) 2 in a discretized form. Δx depends on the discretization and could be taken comparable to the unit cell dimensions. A (P1 - P2) 2 term in this work is an approximate cost of DW energy density when DF energy is compensated by degenerate polarization states in a MD state and is intended for demonstrative purposes. The system is sensitive to the ratio of this term to the rest of the free energy terms, putting an imposition on the polarization solutions of a FE phase similar to the former original form of the DW energy.
    • The original form of the DW energy is a δ2 (dP/dx) 2 and acts as an energy penalty for spatial variations for a polarization wave propagating along x -axis (P ⊥x) with a being a function of the Curie point and δ is the correlation length, also expressed as (a δ2 /Δ x2) (Pi-Pi-1) 2 in a discretized form. Δx depends on the discretization and could be taken comparable to the unit cell dimensions. A (P1-P2) 2 term in this work is an approximate cost of DW energy density when DF energy is compensated by degenerate polarization states in a MD state and is intended for demonstrative purposes. The system is sensitive to the ratio of this term to the rest of the free energy terms, putting an imposition on the polarization solutions of a FE phase similar to the former original form of the DW energy.
  • 22
    • 34547299562 scopus 로고    scopus 로고
    • 0031-9007,. 10.1103/PhysRevLett.98.257603
    • N. A. Pertsev and H. Kohlstedt, Phys. Rev. Lett. 0031-9007 98, 257603 (2007). 10.1103/PhysRevLett.98.257603
    • (2007) Phys. Rev. Lett. , vol.98 , pp. 257603
    • Pertsev, N.A.1    Kohlstedt, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.