Multi-ferroic and magnetoelectric materials and interfaces

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 369, Issue 1948, 2011, Pages 3069-3097

  Velev, J P ^a,b   Jaswal, S S ^a   Tsymbal, E Y ^a  

^a UNIVERSITY OF NEBRASKA LINCOLN   (United States)

^b UNIVERSITY OF PUERTO RICO   (Puerto Rico)

Author keywords

Ferroelectric; Interface; Magnetoelectric; Multi ferroic; Multi functional; Tunnel junction

Indexed keywords

EPITAXIAL FILMS; FABRICATION; FERROELECTRIC MATERIALS; FILMS; FUNCTIONAL MATERIALS; LAMINATES; TUNNEL JUNCTIONS;

COMPOUND STRUCTURES; COMPUTER POWER; CURRENT TRENDS; ELECTRONIC EFFECTS; ELECTRONIC ELEMENTS; FERROELECTRIC; FERROICS; MAGNETOELECTRIC; MAGNETOELECTRIC MATERIALS; MATERIALS FABRICATION; MULTI-FERROIC; MULTI-FUNCTIONAL; MULTI-FUNCTIONAL MATERIALS; NEW DEVICES; SINGLE-PHASE MATERIALS; SIZE REDUCTIONS;

INTERFACES (MATERIALS);

EID: 80051734782     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2010.0344     Document Type: Review

References (187)

1. Chappert, C., Fert, A. & Van Dau, F. N. 2007 The emergence of spin electronics in data storage. Nat. Mater. 6, 813-823. (doi:10.1038/nmat2024) (Pubitemid 350050577)
2. Baibich, M. N., Broto, J. M., Fert, A., Van Dau, F. N., Petroff, F., Eitenne, P., Greuzet, G., Friederich, A. & Chazelas, J. 1988 Giant magnetoresistance of (001)Fe/(001)Cr magnetic superlattices. Phys. Rev. Lett. 61, 2472-2475. (doi:10.1103/PhysRevLett.61.2472)
3. Binash, G., Grünberg, P., Saurenbach, F. & Zinn, W. 1989 Enhanced magnetoresistance in layered magnetic structures with antiferromagnetic interlayer exchange. Phys. Rev. B 39, 4828-4830. (doi:10.1103/PhysRevB.39.4828)
4. Parkin, S. S. P., Kaiser, C., Panchula, A., Rice, P. M. & Hughes, B. 2004 Giant tunneling magneto-resistance at room temperature with MgO(100) tunnel barriers. Nat. Mater. 3, 862-867. (doi:10.1038/nmat1256)
5. Yuasa, S., Nagahama, T., Fukushima, A., Suzuki, Y. & Ando, K. 2004 Giant room-temperature magnetoresistance in single-crystal Fe/MgO/Fe magnetic tunnel junctions. Nat. Mater. 3, 868-871. (doi:10.1038/nmat1257)
6. Moodera, J. S., Kinder, L. R., Wong, T. M. & Meservey, R. 1995 Large magnetoresistance at room temperature in ferromagnetic thin film tunnel junctions. Phys. Rev. Lett. 74, 3273-3276. (doi:10.1103/PhysRevLett.74.3273)
7. Tsymbal, E. Y. & Pettifor, D. G. 2001 Perspectives of giant magnetoresistance. In Solid state physics, vol. 56 (eds H. Ehrenreich & F. Spaepen), pp. 113-237. New York, NY: Academic Press.
8. Tsymbal, E. Y., Mryasov, O. N. & LeClair, P. R. 2003 Spin-dependent tunneling in magnetic tunnel junctions. J. Phys. Condens. Matter 15, R109-R142. (doi:10.1088/0953-8984/ 15/4/201)
9. Velev, J. P., Dowben, P. A., Tsymbal, E. Y., Jenkins, S. J. & Caruso, A. N. 2008 Interface effects in spin-polarized metal/insulator layered structures. Surf. Sci. Rep. 63, 400-425. (doi:10.1016/j.surfrep.2008.06.002)
10. Smolenskii, G. A. & Chupis, I. E. 1982 Ferroelectromagnets. Sov. Phys. Usp. 25, 475-493. (doi:10.1070/PU1982v025n07ABEH004570)
11. Schmid, H. 1994 Multiferroic magnetoelectrics. Ferroelectrics 162, 665-686.
12. Fiebig, M. 2005 Revival of the magnetoelectric effect. J. Phys. D 38, R123-R152. (doi:10.1088/0022-3727/38/8/R01) (Pubitemid 41244606)
13. Spaldin, N. A. & Fiebig, M. 2005 The renaissance of magnetoelectric multiferroics. Science 309, 391-392. (doi:10.1126/science.1113357) (Pubitemid 40994670)
14. Eerenstein, W., Mathur, N. D. & Scott, J. F. 2006 Multiferroic and magnetoelectric materials. Nature 442, 759-765. (doi:10.1038/nature05023) (Pubitemid 44261898)
15. Cheong, S.-W. & Mostovoy, M. 2007 Multiferroics: a magnetic twist for ferroelectricity. Nat. Mater. 6, 13-20. (doi:10.1038/nmat1804) (Pubitemid 46043268)
16. Ramesh, R. & Spaldin, N. A. 2007 Multiferroics: progress and prospects in thin films. Nat. Mater. 6, 21-29. (doi:10.1038/nmatl805) (Pubitemid 46043269)
17. Loidl, A., von Loehneysen, H. & Kalvius, G. M. (eds) 2008 Special issue on multiferroics. J. Phys. Condens. Matter 20.
18. Martin, L. W., Crane, S. P., Chu, Y.-H., Holcomb, M. B., Gajek, M., Huijben, M., Yang, C.-H., Balke, N. & Ramesh, R. 2008 Multiferroics and magnetoelectrics: thin films and nanostructures. J. Phys. Condens. Matter 20, 434220. (doi:l0.l088/0953-8984/20/43/434220)
19. Fiebig, M. & Spaldin, N. A. (eds) 2009 Magnetoelectric interaction phenomena in crystals. Eur. Phys. J. B 71, 293-297. (doi:l0.ll40/epjb/e2009- 00266-4)
20. Fiebig, M. & Spaldin, N. A. 2009 Current trends of the magnetoelectric effect. Eur. Phys. J. B 71, 293-297. (doi:l0.ll40/epjb/e2009- 00266-4)
21. Khomskii, D. 2009 Classifying multiferroics: mechanisms and effects. Physics 2, 20-27. (doi:l0.ll03/Physics.2.20)
22. Wang, K. F., Liu, J.-M. & Ren, Z. F. 2009 Multiferroicity: the coupling between magnetic and polarization orders. Adv. Phys. 58, 321-448. (doi:l0.l080/000l8730902920554
23. Vaz, C. A. F., Hoffman, J., Anh, C. H., & Ramesh, R. 2010 Magnetoelectric coupling effects in multiferroic complex oxide composite structures. Adv. Mater. 22, 2900-2918. (doi:l0.l002/adma.200904326)
24. Schmid, H. 2008 Some symmetry aspects of ferroics and single phase multiferroics. J. Phys. Condens. Matter 20, 434201. (doi:l0.l088/0953-8984/20/ 43/43420l)
25. Chu, Y. H., Martin, L. W., Holcomb, M. B. & Ramesh, R. 2007 Controlling magnetism with multiferroics. Mater. Today 10, 16-23. (doi:l0.l0l6/Sl369-702l(07)7024l-9) (Pubitemid 47380444)
26. Bibes, M. & Barthelemy, A. 2008 Towards a magnetoelectric memory. Nat. Mater. 7, 425-426. (doi:l0.l038/nmat2l89)
27. Gajek, M., Bibes, M., Fusil, S., Bouzehouane, K., Fontcuberta, J., Barthelemy, A. & Fert, A. 2007 Tunnel junctions with multiferroic barriers. Nat. Mater. 6, 296-302. (doi:l0.l038/nmatl860) (Pubitemid 46522084)
28. Velev, J. P., Duan, C.-G., Burton, J. D., Smogunov, A., Niranjan, M., Tosatti, E., Jaswal, S. S. & Tsymbal, E. Y. 2009 Magnetic tunnel junctions with ferroelectric barriers: prediction of four resistance states from first-principles. Nano Lett. 9, 427-432. (doi:l0.l02l/nl8033l8d)
29. Binek, C. & Doudin, B. 2005 Magnetoelectronics with magnetoelectrics. J. Phys. Condens. Matter 17, L39-L44. (doi:l0.l088/0953-8984/l7/2/L06) (Pubitemid 40121755)
30. Chen, X., Hochstrat, A., Borisov, P. & Kleemann, W. 2006 Magnetoelectric exchange bias systems in spintronics. Appl. Phys. Lett. 89, 202508. (doi:l0.l063/l.2388l49)
31. Hutchby, J. A., Cavin, R., Zhirnov, V., Brewer, J. E. & Bourianoff, G. 2008 Emerging nanoscale memory and logic devices: a critical assessment. Computer 41, 28-32. (doi:l0.ll09/ MC.2008.l54)
32. Weiss, P. 1907 L'hypothèse du champ molèculaire et la propriété ferromagnétique. J. Phys. 6, 661-690. (doi:l0.l05l/jphystap:0l9070060066l00)
33. Valasek, J. 1920 Piezoelectric and allied phenomena in Rochelle salt. Phys. Rev. 15, 537-538.
34. Aizu, K. 1970 Possible species of ferromagnetic, ferroelectric and ferroelastic crystals. Phys. Rev. B 2, 754-772. (doi:l0.ll03/PhysRevB.2.754)
35. Schmid, H. 2004 Some supplementing comments on the proceedings of MEIPIC-5. In Magnetoelectric interaction phenomena in crystals (eds M. Fiebig, V. V. Eremenko & I. E. Chupis), p. l. Dordrecht, The Netherlands: Kluwer.
36. Landau, L. D. & Lifshitz, E. M. 1984 Electrodynamics of continuous media. Oxford, UK: Pergamon.
37. Landau, L. D. & Lifshitz, E. M. 1980 Statistical physics. Oxford, UK: Pergamon.
38. Rivera, J.-P. 2009 A short review of the magnetoelectric effect and related experimental techniques on single phase (multi-) ferroics. Eur. Phys. J. B 71, 299-313. (doi:l0.ll40/epjb/ e2009-00336-7)
39. Van Suchtelen, J. 1972 Product properties: a new application of composite materials. Philips Res. Rep. 27, 28-37.
40. Nan, C.-W., Bichurin, M. I., Dong, S., Viehland, D. & Srinivasan, G. 2008 Multiferroic magnetoelectric composites: historical perspective, status, and future directions. J. Appl. Phys. 103, 031101. (doi:l0.l063/l.28364l0)
41. Goodenough, J. B. & Longo, J. M. 1970 Magnetic and other properties of oxides and related compounds. Berlin, Germany: Springer.
42. Mitsui, T. et al. 1981 Ferroelectrics and related substances. Berlin, Germany: Springer.
43. Hill, N. A. 2000 Why are there so few magnetic ferroelectrics? J. Phys. Chem. B 104, 6694-6709. (doi:10.1021/jp000114x)
44. Khomskii, D. I. 2006 Multiferroics: different ways to combine magnetism and ferroelectricity. J. Magn. Magn. Mater. 306, 1-8. (doi:10.1016/j.jmmm.2006. 01.238) (Pubitemid 44291919)
45. 3. Phys. Rev. B 79, 205119. (doi:10.1103/PhysRevB.79.205119)
46. Dzyaloshinskii, I. E. 1959 On the magneto-electrical effect in antiferromagnets. Sov. Phys. JETP 10, 628-629.
47. Astrov, D. N. 1960 The magnetoelectric effect in antiferromagnetics. Sov. Phys. JETP 11, 708-709.
48. Astrov, D. N. 1961 Magnetoelectric effect in chromium oxide. Sov. Phys. JETP 13, 729-733.
49. 3. Phys. Rev. B 69, 134113. (doi:10.1103/PhysRevB.69.134113)
50. Kiselev, S. V., Ozerov, R. P. & Zhdanov, G. S. 1963 Detection of magnetic order in ferroelectric BiFeO3 by neutron diffraction. Sov. Phys. Dokl. 7, 742-744.
51. 3. Solid State Commun. 8, 1073-1074. (doi:10.1016/0038-1098(70)90262-0)
52. Yakel, H. L., Koehler, W. C., Bertaut, E. F. & Forrat, E. F. 1963 On the crystal structures of the manganese(III) trioxides of the heavy lanthanides and yttrium. Acta Crystallogr. 16, 957-962. (doi:10.1107/S0365110X63002589)
53. 3. Nat. Mater. 3, 164-170. (doi:10.1038/nmat1080)
54. Fiebig, M., Lottermoser, T., Frohlich, D., Goltsev, A. V. & Pisarev, R. V. 2002 Observation of coupled magnetic and electric domains. Nature 419, 818-820. (doi:10.1038/nature01077) (Pubitemid 35238563)
55. Lottermoser, T., Lonkai, T., Amann, U., Hohlwein, D., Ihringer, J. & Fiebig, M. 2004 Magnetic phase control by an electric field. Nature 430, 541-544. (doi:10.1038/nature02728) (Pubitemid 38998623)
56. Ascher, E., Schmid, H. & Tar, D. 1964 Dielectric properties of boracites and evidence for ferroelectricity. Solid State Commun. 2, 45-49. (doi:10.1016/0038-1098(64)90571-X)
57. Schmid, H., Rieder, H. & Ascher, E. 1965 Magnetic susceptibilities of some 3d transition metal boracites. Solid State Commun. 3, 327-330. (doi:10.1016/0038-1098(65)90088-8)
58. Eibschutz, M. & Guggenheim, H. J. 1968 Antiferromagnetic- piezoelectric crystals-BaMe4 (M = Mn Fe Co and Ni). Solid State Commun. 6, 737-739. (doi:10.1016/0038-1098(68)90576-0)
59. Scott, J. F. 1980 Spectroscopy of incommensurate ferroelectrics. Ferroelectrics 24, 127-134. (doi:10.1080/00150198008238631)
60. Kimura, T. 2007 Spiral magnets as magnetoelectrics. Annu. Rev. Mater. Res. 37, 387-413. (doi:10.1146/annurev.matsci.37.052506.084259) (Pubitemid 47497652)
61. Kimura, T., Goto, T., Shintani, H., Ishizaka, K., Arima, T. & Tokura, Y. 2003 Magnetic control of ferroelectric polarization. Nature 426, 55-58. (doi:10.1038/nature02018) (Pubitemid 37441280)
62. Hur, N., Park, S., Sharma, P. A., Ahn, J. S., Guha, S. & Cheong, S.-W. 2004 Electric polarization reversal and memory in a multiferroic material induced by magnetic fields. Nature 429, 392-395. (doi:10.1038/nature02572) (Pubitemid 38720172)
63. Katsura, H., Nagaosa, N. & Balatsky, A. V. 2005 Spin current and magnetoelectric effect in noncollinear magnets. Phys. Rev. Lett. 95, 057205. (doi:10.1103/PhysRevLett.95.057205) (Pubitemid 41506175)
64. Mostovoy, M. V. 2006 Ferroelectricity in spiral magnets. Phys. Rev. Lett. 96, 067601. (doi:10.1103/PhysRevLett.96.067601) (Pubitemid 43271108)
65. Choi, Y. J., Yi, H. T., Lee, S., Huang, Q., Kiryukhin, V. & Cheong, S.-W. 2008 Ferroelectricity in an Ising chain magnet. Phys. Rev. Lett. 100, 047601. (doi:10.1103/PhysRevLett.100.047601) (Pubitemid 351185687)
66. 3 film: new candidate for nonvolatile memory devices. Appl. Phys. Lett. 69, 1011-1013. (doi:10.1063/ 1.117969) (Pubitemid 126619369)
67. 3. Phys. Lett. 5, 27-29. (doi:10.1016/S0375-9601(63)80014-6)
68. 3 in a perovskite structure as a thin film. Chem. Mater. 10, 2592-2595. (doi:10.1021/cm9802797) (Pubitemid 128474029)
69. 3 multiferroic thin film heterostructures. Science 299, 1719-1722. (doi:10.1126/science.1080615) (Pubitemid 36337195)
70. 3 thin films. Phys. Rev. Lett. 101, 107602. (doi:10.1103/PhysRevLett.101.107602)
71. 3. J. Phys. C Solid State Phys. 13, 1931-1940. (doi:10.1088/0022- 3719/13/10/012)
72. Smolenskii, G. A., Isupov, V., Agranovskaya, A. & Kranik, N. 1961 New ferroelectrics of complex composition. Sov. Phys. Solid State 2, 2651-2654.
73. 3 films at room temperature. Nat. Mater. 5, 823-829. (doi:10.1038/nmat1731) (Pubitemid 44574358)
74. 3 thin films. Appl. Phys. Lett. 84, 91-94. (doi:10.1063/1.1636265)
75. Sharan, A., Lettieri, J., Jia, Y., Tian, W., Pan, X., Schlom, D. G. & Gopalan, V. 2004 Bismuth manganite: a multiferroic with a large nonlinear optical response. Phys. Rev. B 69, 214109. (doi:10.1103/PhysRevB.69.214109)
76. 3. J. Phys. Soc. Jpn 20, 1529. (doi:10.1143/JPSJ.20.1529)
77. 3. J. Solid State Chem. 132, 139-143. (doi:10.1006/jssc.1997.7432) (Pubitemid 127345834)
78. 3. Solid State Commun. 122, 49-52. (doi:10.1016/S0038-1098(02)00087-x) (Pubitemid 34405363)
79. 3. J. Appl. Phys. 98, 103519. (doi:10.1063/1. 2131193) (Pubitemid 41751705)
80. 3 tunnel barriers. Phys. Rev. B 72, 020406(R). (doi:10.1103/PhysRevB.72.020406) (Pubitemid 41506811)
81. Hill, N. A. 2002 Density functional studies of multiferroic magnetoelectrics. Annu. Rev. Mater. Res. 32, 1-37. (doi:10.1146/annurev.matsci. 32.101901.152309) (Pubitemid 34992563)
82. Spaldin, N. A. & Pickett, W. E. 2003 Computational design of multifunctional materials. J. Solid State Chem. 176, 615-632. (doi:10.1016/j.jssc.2003.07.001)
83. Ederer, C. & Spaldin, N. A. 2006 Recent progress in first-principles studies of magnetoelectric multiferroics. Curr. Opin. Solid State Mater. Sci. 9, 128-139. (doi:10.1016/j.cossms.2006. 03.001)
84. Picozzi, S. & Ederer, C. 2009 First principles studies of multiferroic materials. J. Phys. Condens. Matter 21, 303201. (doi:10.1088/0953-8984/21/30/303201)
85. 3 from first principles. Phys. Rev. B 97, 267602. (doi:10.1103/PhysRevLett.97.267602) (Pubitemid 46135015)
86. Fennie, C. J. 2008 Ferroelectrically induced weak ferromagnetism by design. Phys. Rev. Lett. 100, 167203. (doi:10.1103/PhysRevLett.100.167203) (Pubitemid 351574580)
87. Lee, J. H. et al. 2010 A Strong ferroelectric ferromagnet created by mean of spin-lattice coupling. Nature 466, 954-958. (doi:10.1038/nature09331)
88. 3. Phys. Rev. B 71, 014113. (doi:10.1103/PhysRevB.71.014113) (Pubitemid 40486273)
89. Ederer, C. & Spaldin, N. A. 2005 Weak ferromagnetism and magnetoelectric coupling in bismuth ferrite. Phys. Rev. B 71, 060401(R). (doi:10.1103/PhysRevB.71.060401) (Pubitemid 40467452)
90. 3: structure, polarization, and magnetic ordering temperature. Phys. Rev. B 72, 214105. (doi:10.1103/PhysRevB.72.214105) (Pubitemid 43029317)
91. 3 single crystals at room temperature and its evolution under cycling fields. Appl. Phys. Lett. 91, 022907. (doi:l0.l063/l.2753390)
92. Hill, N. A. & Rabe, K. M. 1999 First-principles investigation of ferromagnetism and ferroelectricity in bismuth manganite. Phys. Rev. B 59, 8759-8769. (doi:l0.ll03/PhysRevB. 59.8759)
93. 3 from first principles. Phys. Rev. B 72, 100103(R). (doi:l0.ll03/PhysRevB.72.l00l03)
94. 3. J. Phys. Chem. B 106, 3383-3388. (doi:l0.l02l/jp0l3l70m) (Pubitemid 35290234)
95. 3. Phys. Rev. Lett. 102, 117602. (doi:l0.ll03/PhysRevLett.l02.ll7602)
96. Srinivasan, G. 2010 Magnetoelectric composites. Annu. Rev. Mater. Res. 40, 153-178. (doi:l0.ll46/annurev-matsci-070909-l04459)
97. Newnham, R. E., Skinner, D. P. & Cross, L. E. 1978 Connectivity and piezoelectric-pyroelectric composites. Mater. Res. Bull. 13, 525-536. (doi:l0.l0l6/0025-5408(78)90l6l-7)
98. 3 composite thin films derived by a sol-gel process. Appl. Phys. Lett. 86, 122501. (doi:l0.l063/l.l889237)
99. 4 composite films. Appl. Phys. Lett. 89, 102907. (doi:l0.l063/l.2338766)
100. 4 nanostructures. Science 303, 661-663. (doi:l0.ll26/science.l094207) (Pubitemid 38141629)
101. Levin, I., Li, J. H., Slutsker, J. & Roytburd, A. L. 2006 Design of self-assembled multiferroic nanostructures in epitaxial films. Adv. Mater. 18, 2044-2047. (doi:l0.l002/adma.200600288) (Pubitemid 44259265)
102. Nan, C. W. 1994 Magnetoelectric effect in composites of piezoelectric and piezomagnetic phases. Phys. Rev. B 50, 6082-6088. (doi:l0.ll03/PhysRevB.50. 6082)
103. Srinivasan, G., Rasmussen, E. T., Levin, B. J. & Hayes, R. 2002 Magnetoelectric bilayer and multilayer structures of magnetostrictive and piezoelectric oxides. Phys. Rev. B 65, 134402. (doi:l0.ll03/PhysRevB.65.l34402)
104. Ryu, J., Vasquez Carazo, A., Uchino, K. & Kim, H.-E. 2001 Magnetoelectric properties in piezoelectric and magnetostrictive laminate composites. Jpn J. Appl. Phys. 40, 4948-4951. (doi:l0.ll43/JJAP.40.4948) (Pubitemid 32991307)
105. Zhai, J. Y., Xing, Z., Dong, S. X., Li, J. F. & Viehland, D. 2006 Detection of pico-Tesla magnetic fields using magneto-electric sensors at room temperature. Appl. Phys. Lett. 88, 062510. (doi:l0.l063/l.2l72706)
106. Zhai, J., Dong, S., Xing, Z., Li, J. & Viehland, D. 2006 Giant magnetoelectric effect in Metglas/polyvinylidene-fluoride laminates. Appl. Phys. Lett. 89, 083507. (doi:l0.l063/ 1.2337996)
107. Eerenstein, W., Wiora, M., Prieto, J. L., Scott, J. F. & Mathur, N. D. 2007 Giant sharp and persistent converse magnetoelectric effects in multiferroic epitaxial heterostructures. Nat. Mater. 6, 348-351. (doi:l0.l038/nmatl886) (Pubitemid 46693191)
108. 3/Fe heterostructures via interface strain coupling. Phys. Rev. B 76, 092108. (doi:l0.ll03/PhysRevB.76.092l08)
109. Nan, C.-W., Liu, G., Lin, Y. & Chen, H. 2005 Magnetic-field-induced electric polarization in multiferroic nanostructures. Phys. Rev. Lett. 94, 197203. (doi:l0.ll03/PhysRevLett.94.l97203)
110. Zavaliche, F., Zhao, T., Zheng, H., Straub, F., Cruz, M. P., Yang, P.-L., Hao, D. & Ramesh, R. 2007 Electrically assisted magnetic recording in multiferroic nanostructures. Nano Lett. 7, 1586-1590. (doi:l0.l02l/nl070465o) (Pubitemid 47158074)
111. Zhang, S. 1999 Spin-dependent surface screening in ferromagnets and magnetic tunnel junctions. Phys. Rev. Lett. 83, 640-643. (doi:l0.ll03/ PhysRevLett.83.640) (Pubitemid 129308535)
112. Duan, C.-G., Velev, J. P., Sabirianov, R. F., Zhu, Z., Chu, J., Jaswal, S. S. & Tsymbal, E. Y. 2008 Surface magnetoelectric effect in ferromagnetic metal films. Phys. Rev. Lett. 101, 137201. (doi:l0.ll03/PhysRevLett.l0l.l3720l)
113. Duan, C.-G., Nan, C.-W., Jaswal, S. S. & Tsymbal, E. Y. 2009 Universality of the surface magnetoelectric effect in half-metals. Phys. Rev. B 79, 140403(R). (doi:10.1103/PhysRevB. 79.140403)
114. Rondinelli, J. M., Stengel, M. & Spaldin, N. 2008 Carrier-mediated magnetoelectricity in complex oxide heterostructures. Nat. Nanotech. 3, 46-50. (doi:10.1038/nnano.2007.412)
115. 3(001) interface: an ab-initio study. Appl. Phys. Lett. 95, 052501. (doi:10.1063/1.3193679)
116. 3 multilayers: ferroelectric control of magnetism. Phys. Rev. Lett. 97, 047201. (doi:10.1103/PhysRevLett.97. 047201) (Pubitemid 44118059)
117. Fechner, M., Maznichenko, I. V., Ostanin, S., Ernst, A., Henk, J., Bruno, P. & Mertig, I. 2008 Magnetic phase transition in two-phase multiferroics predicted from first principles. Phys. Rev. B 78, 212406. (doi:10.1103/PhysRevB. 78.212406)
118. 3 (001) interface: a first-principles study. Phys. Rev. B 78, 104405. (doi:10.1103/PhysRevB.78.104405)
119. Yamauchi, K., Sanyal, B. & Picozzi, S. 2007 Interface effects at a half-metal/ferroelectric junction. Appl. Phys. Lett. 91, 062506. (doi:10.1063/1.2767776) (Pubitemid 47247142)
120. Molegraaf, H. J. A., Hoffman, J., Vaz, C. A. F., Gariglio, S., van der Marel, D., Ahn, C. H. & Triscone, J.-M. 2009 Magnetoelectric effects in complex oxides with competing ground states. Adv. Mater. 21, 3470-3474. (doi:10.1002/adma.200900278)
121. Burton, J. D. & Tsymbal, E. Y. 2009 Prediction of electrically-induced magnetic reconstruction at the manganite/ferroelectric interface. Phys. Rev. B 80, 174406. (doi:10.1103/PhysRevB. 80.174406)
122. 3 multiferroic heterostructures. Phys. Rev. Lett. 104, 127202. (doi:10.1103/ PhysRevLett.104.127202)
123. Stolichnov, I. et al. 2008 Non-volatile ferroelectric control of ferromagnetism in (Ga,Mn)As. Nat. Mater. 7, 464-467. (doi:10.1038/nmat2185) (Pubitemid 351733443)
124. Ovchinnikov, I. V. & Wang, K. L. 2009 Voltage sensitivity of Curie temperature in ultrathin metallic films. Phys. Rev. B 80, 012405. (doi:10.1103/PhysRevB.80.012405)
125. x. Phys. Rev. B 78, 012405. (doi:10.1103/PhysRevB.78.012405)
126. Sun, Y., Burton, J. D. & Tsymbal, E. Y. 2010 Electrically driven magnetism on a Pd thin film. Phys. Rev. B 81, 064413. (doi:10.1103/PhysRevB.81. 064413)
127. Gerhard, L. et al. 2010 Magnetoelectric coupling at metal surfaces. Nat. Nanotech. 5, 792-797. (doi:10.1038/nnano.2010.214)
128. Nakamura, K., Shimabukuro, R., Fujiwara, Y., Akiyama, T., Ito, T. & Freeman, A. J. 2009 Giant modification of the magnetocrystalline anisotropy in transition-metal monolayers by an external electric field. Phys. Rev. Lett. 102, 187-201. (doi:10.1103/PhysRevLett.102.187201)
129. Tsujikawa, M. & Oda, T. 2009 Finite electric field effects in the large perpendicular magnetic anisotropy surface Pt/Fe/Pt(001): a first-principles study. Phys. Rev. Lett. 102, 247203. (doi:10.1103/PhysRevLett. 102.247203)
130. Maruyama, T. et al. 2009 Large voltage-induced magnetic anisotropy change in a few atomic layers of iron. Nat. Nano. 4, 158-161. (doi:10.1038/nnano.2008. 406)
131. Niranjan, M. K., Duan, C.-G., Jaswal, S. S. & Tsymbal, E. Y. 2010 Electric field effect on magnetization at the Fe/MgO(001) interface. Appl. Phys. Lett. 96, 222504. (doi:10.1063/ 1.3443658)
132. Ikeda, S. et al. 2010 A perpendicular-anisotropy CoFeB-MgO magnetic tunnel junction. Nat. Mater. 9, 721-724. (doi:10.1038/nmat2804)
133. 20 alloy layers. Appl. Phys. Exp. 2, 063001. (doi:10.1143/APEX.2.063001)
134. Weisheit, M., Fähler, S., Marty, A., Souche, Y., Poinsignon, C. & Givord, D. 2007 Electric field-induced modification of magnetism in thin-film ferromagnets. Science 315, 349-351. (doi:l0.ll26/science.ll36629) (Pubitemid 46175509)
135. Chiba, D., Sawicki, M., Nishitani, Y., Nakatani, Y., Matsukura, F. & Ohno, H. 2008 Magnetization vector manipulation by electric fields. Nature 455, 515-518. (doi:l0.l038/ nature073l8)
136. Ohta, K., Maruyama, T., Nozaki, T., Shiraishi, M., Shinjo, T., Suzuki, Y., Ha, S.-S., You, C.-Y. & Van Roy, W. 2009 Voltage control of in-plane magnetic anisotropy in ultrathin Fe/n-GaAs(00l) Schottky junctions. Appl. Phys. Lett. 94, 032501. (doi:l0.l063/l.3072344)
137. Duan, C.-G., Velev, J., Sabirianov, R., Mei, W., Jaswal, S. S. & Tsymbal, E. Y. 2008 Tailoring magnetic anisotropy at the ferromagnetic/ ferroelectric interface. Appl. Phys. Lett. 92, 122905. (doi:l0.l063/l.290l879)
138. Nogués, J. & Schuller, I. K. 1999 Exchange bias. J. Magn. Magn. Mater. 192, 203-232. (doi:l0.l0l6/S0304-8853(98)00266-2)
139. Borisov, P., Hochstrat, A., Chen, X., Kleemann, W. & Binek, C. 2005 Magnetoelectric switching of exchange bias. Phys. Rev. Lett. 94, 117203. (doi:l0.ll03/PhysRevLett.94.ll7203)
140. Laukhin, V. et al. 2006 Electric-field control of exchange bias in multiferroic epitaxial heterostructures. Phys. Rev. Lett. 97, 227201. (doi:l0.ll03/PhysRevLett.97.22720l)
141. Chu, Y. H. et al. 2008 Electric-field control of local ferromagnetism using a magnetoelectric multiferroic. Nat. Mater. 7, 478-482. (doi:l0.l038/nmat2l84)
142. 3. Phys. Rev. Lett. 103, 257601. (doi:l0.ll03/PhysRevLett.l03.25760l)
143. Wu, S. M., Cybart, S. A., Yu, P., Rossell, M. D., Zhang, J. X., Ramesh, R. & Dynes, R. C. 2010 Reversible electric control of exchange bias in a multiferroic field-effect device. Nat. Mater. 9, 756-761. (doi:l0.l038/nmat2803)
144. He, X., Wang, Y., Wu, N., Shi, S., Caruso, A., Vescovo, E., Belashchenko, K. D., Dowben, P. & Binek, C. 2010 Robust isothermal electric switching of interface magnetization: a route to voltage-controlled spin electronics. Nat. Mater. 9, 579-585.
145. Stiles, M. 2004 Interlayer exchange coupling. In Ultrathin magnetic structures III (eds B. Heinrich & J. A. C. Bland). Berlin, Germany: Springer.
146. Grünberg, P., Schreiber, R., Pang, Y., Brodsky, M. B. & Sowers, H. 1986 Layered magnetic structures: evidence for antiferromagnetic coupling of Fe layers across Cr interlayers. Phys. Rev. Lett. 57, 2442-2445. (doi:l0.ll03/PhysRevLett.57.2442)
147. Parkin, S. S. P., More, N. & Roche, K. 1990 Oscillations in exchange coupling and magnetoresistance in metallic superlattice structures: Co/Ru, Co/Cr, and Fe/Cr. Phys. Rev. Lett. 64, 2304-2307. (doi:l0.ll03/PhysRevLett.64. 2304)
148. Faure-Vincent, J., Tiusan, C., Bellouard, C., Popova, E., Hehn, M., Montaigne, F. & Schuhl, A. 2002 Interlayer magnetic coupling interactions of two ferromagnetic layers by spin polarized tunneling. Phys. Rev. Lett. 89, 107206. (doi:l0.ll03/PhysRevLett.89.l07206)
149. Katayama, T., Yuasa, S., Velev, J. P., Zhuravlev, M., Ye Jaswal, S. S. & Tsymbal, E. Y. 2006 Interlayer exchange coupling in Fe/MgO/Fe magnetic tunnel junctions. Appl. Phys. Lett. 89, 112503. (doi:l0.l063/l.234932l)
150. Zhuravlev, M. Y., Vedyayev, A. V. & Tsymbal, E. Y. 2010 Interlayer exchange coupling across a ferroelectric barrier. J. Phys. Condens. Matter 22, 352203. (doi:l0.l088/0953-8984/22/ 35/352203)
151. Tsymbal, E. Y. & Kohlstedt, H. 2006 Tunneling across a ferroelectric. Science 313, 181-183. (doi:l0.ll26/science.ll26230) (Pubitemid 44066239)
152. Esaki, L., Laibowitz, R. B. & Stiles, P. J. 1971 Polar switch. IBM Tech. Disci. Bull. 13, 2161.
153. Bune, A. V., Fridkin, V. M., Ducharme, S., Blinov, L. M., Palto, S. P., Sorokin, A., Yudin, S. G. & Zlatkin, A. 1998 Two-dimensional ferroelectric films. Nature 391, 874-877. (doi:l0.l038/36069) (Pubitemid 28157660)
154. Fong, D. D., Stephenson, G. B., Streiffer, S. K., Eastman, J. A., Auciello, O., Fuoss, P. H. & Thompson, C. 2004 Ferroelectricity in ultrathin perovskite films. Science 304, 1650-1653. (doi:l0.ll26/science.l098252) (Pubitemid 38765852)
155. 3 films. Phys. Rev. Lett. 94, 047603. (doi:10.1103/ PhysRevLett.94.047603)
156. Tenne, D. A. et al. 2006 Probing nanoscale ferroelectricity by ultraviolet Raman spectroscopy. Science 313, 1614-1616. (doi:10.1126/science. 1130306) (Pubitemid 44414030)
157. Zhuravlev, M. Y., Sabirianov, R. F., Jaswal, S. S. & Tsymbal, E. Y. 2005 Giant electroresistance in ferroelectric tunnel junctions. Phys. Rev. Lett. 94, 246802. (doi:10.1103/ PhysRevLett.94.246802)
158. Zhuravlev, M. Y., Wang, Y., Maekawa, S. & Tsymbal, E. Y. 2009 Tunneling electroresistance in ferroelectric tunnel junctions with a composite barrier. Appl. Phys. Lett. 95, 052902. (doi:10.1063/1.3195075)
159. Velev, J. P., Duan, C.-G., Belashchenko, K. D., Jaswal, S. S. & Tsymbal, E. Y. 2007 Effect of ferroelectricity on electron transport in Pt/BaTiO3/Pt tunnel junctions. Phys. Rev. Lett. 98, 137201. (doi:10.1103/ PhysRevLett.98.137201) (Pubitemid 46496419)
160. Duan, C.-G., Sabirianov, R. F., Mei, W.-N., Jaswal, S. S. & Tsymbal, E. Y. 2006 Interface effect on ferroelectricity at the nanoscale. Nano Lett. 6, 483-487. (doi:10.1021/nl052452l)
161. 3. Phys. Rev. Lett. 96, 107603. (doi:10.1103/ PhysRevLett.96.107603)
162. Gerra, G., Tagantsev, A. K. & Setter, N. 2007 Ferroelectricity in asymmetric metal-ferroelectric-metal heterostructures: a combined first-principles-phenomenological approach. Phys. Rev. Lett. 98, 207601. (doi:10.1103/PhysRevLett.98.207601) (Pubitemid 47139595)
163. Sai, N., Kolpak, A. M. & Rappe, A. M. 2005 Ferroelectricity in ultrathin perovskite films. Phys. Rev. B 72, 020101. (doi:10.1103/PhysRevB.72. 020101) (Pubitemid 41506801)
164. Belashchenko, K. D., Tsymbal, E. Y., van Schilfgaarde, M., Stewart, D., Oleinik, I. I. & Jaswal, S. S. 2004 Effect of interface bonding on spin-dependent tunneling from the oxidized Co surface. Phys. Rev. B 69, 174408. (doi:10.1103/PhysRevB.69.174408)
165. Kohlstedt, H., Pertsev, N. A., Rodriguez Contreras, J. & Waser, R. 2005 Theoretical current-voltage characteristics of ferroelectric tunnel junctions. Phys. Rev. B 72, 125341. (doi:10.1103/ PhysRevB.72.125341)
166. Rodriguez Contreras, J., Kohlstedt, H., Poppe, U., Waser, R., Buchal, C. & Pertsev, N. A. 2003 Resistive switching in metal-ferroelectric-metal junctions. Appl. Phys. Lett. 83, 4595-4598. (doi:10.1063/1.1627944)
167. Waser, R. & Aono, M. 2007 Nanoionics-based resistive switching memories. Nat. Mater. 6, 833-840. (doi:10.1038/nmat2023) (Pubitemid 350064191)
168. Garcia, V., Fusil, S., Bouzehouane, K., Enouz-Vedrenne, S., Mathur, N. D., Barthelemy, A. & Bibes, M. 2009 Giant tunnel electroresistance for non-destructive readout of ferroelectric states. Nature 460, 81-84. (doi:10.1038/nature08128)
169. Gruverman, A. et al. 2009 Tunneling electroresistance effect in ferroelectric tunnel junctions at the nanoscale. Nano Lett. 9, 3539-3543. (doi:10.1021/nl901754t)
170. Maksymovych, P., Jesse, S., Yu, P., Ramesh, R., Baddorf, A. P. & Kalinin, S. V. 2009 Polarization control of electron tunneling into ferroelectric surfaces. Science 324, 1421-1425. (doi:10.1126/science.1171200)
171. Meservey, R. & Tedrow, P. M. 1994 Spin-polarized electron-tunneling. Phys. Rep. 238, 173-243. (doi:10.1016/0370-1573(94)90105-8)
172. Zhuravlev, M. Y., Jaswal, S. S., Tsymbal, E. Y. & Sabirianov, R. F. 2005 Ferroelectric switch for spin injection. Appl. Phys. Lett. 87, 222114. (doi:10.1063/1.2138365) (Pubitemid 41669236)
173. Zhuravlev, M. Y., Maekawa, S. & Tsymbal, E. Y. 2010 Effect of spin-dependent screening on tunneling electroresistance and tunneling magnetoresistance in multiferroic tunnel junctions. Phys. Rev. B 81, 104419. (doi:10.1103/PhysRevB.81.104419)
174. Hambe, M., Petraru, A., Pertsev, N. A., Munroe, P., Nagarajan, V. & Kohlstedt, H. 2010 Crossing an interface: ferroelectric control of tunnel currents in magnetic complex oxide heterostructures. Adv. Funct. Mater. 20, 2436-2441. (doi:10.1002/adfm.201000265)
175. 3/Fe multiferroic tunnel junctions. J. Appl. Phys. 103, 07A701. (doi:10.1063/1.2828512) (Pubitemid 351538088)
176. Oleinik, I. I., Tsymbal, E. Y. & Pettifor, D. G. 2000 Structural and electronic properties of Co/Al2O3/Co magnetic tunnel junction from first principles. Phys. Rev. B 62, 3952-3959. (doi:l0.ll03/PhysRevB.62.3952)
177. Tsymbal, E. Y., Oleinik, I. I. & Pettifor, D. G. 2000 Oxygen-induced positive spin polarization from Fe into the vacuum barrier. J. Appl. Phys. 87, 5230-5232. (doi:l0.l063/l.373304)
178. Belashchenko, K. D., Velev, J. & Tsymbal, E. Y. 2005 Effect of interface states on spin-dependent tunneling in Fe/MgO/Fe tunnel junctions. Phys. Rev. B 72, 140404. (doi:l0.ll03/ PhysRevB.72.l40404)
179. Chantis, A. N., Belashchenko, K. D., Tsymbal, E. Y. & van Schilfgaarde, M. 2007 Tunneling anisotropic magnetoresistance driven by resonant surface states: first-principles calculations on an Fe(00l) surface. Phys. Rev. Lett. 98, 046601. (doi:l0.ll03/PhysRevLett.98.04660l)
180. Chantis, A. N., Belashchenko, K. D., Smith, D. L., Tsymbal, E. Y., van Schilfgaarde, M. & Albers, R. C. 2007 Reversal of spin polarization in Fe/GaAs (001) driven by resonant surface states: first-principles calculations. Phys. Rev. Lett. 99, 196603. (doi:l0.ll03/ PhysRevLett.99.l96603)
181. Tsymbal, E. Y., Belashchenko, K. D., Velev, J., Jaswal, S. S., van Schilfgaarde, M., Oleynik, 1.1. & Stewart, D. A. 2007 Interface effects in spin-dependent tunneling. Prog. Mater. Sci. 52, 401-420. (doi:l0.l0l6/j.pmatsci. 2006.l0.009) (Pubitemid 46054106)
182. Garcia, V. et al. 2010 Ferroelectric control of spin polarization. Science 327, ll06-lll0. (doi:l0.ll26/science.ll84028)
183. Ju, S., Cai, T.-Y., Guo, G.-Y. & Li, Z.-Y. 2007 Electrically controllable spin filtering and switching in multiferroic tunneling junctions. Phys. Rev. B 75, 064419. (doi:l0.ll03/Phys RevB.75.0644l9)
184. Ahn, C. H., Rabe, K. M. & Triscone, J.-M. 2004 Ferroelectricity at the nanoscale: local polarization in oxide thin films and heterostructures. Science 303, 488-491. (doi:l0.ll26/ science.1092508) (Pubitemid 38120840)
185. Tsymbal, E. Y. & Pettifor, D. G. 1999 The influence of impurities within the barrier on tunneling magnetoresistance. J. Appl. Phys. 85, 5801-5803. (doi:l0.l063/l.369924) (Pubitemid 129650996)
186. Tsymbal, E. Y., Sokolov, A., Sabirianov, I. F. & Doudin, B. 2003 Resonant inversion of tunneling magnetoresistance. Phys. Rev. Lett. 90, 186602. (doi:l0.ll03/PhysRevLett.90. 186602)
187. Velev, J. P., Belashchenko, K. D., Jaswal, S. S. & Tsymbal, E. Y. 2007 Effect of oxygen vacancies on spin-dependent tunneling in Fe/MgO/Fe magnetic tunnel junctions. Appl. Phys. Lett. 90, 072502. (doi:l0.l063/l.2643027)