Broken Symmetry, Ferroic Phase Transitions and Multifunctional Materials

References

• Wadhawan , V. K. 2000 . Introduction to Ferroic Materials , Amsterdam : Gordon and Breach .
   Google Scholar
• Fradkin , E. 1999 . Field Theories of Condensed Matter Systems , Westview Press .
   Google Scholar
• Mézard , M. , Parisi , G. and Virasoro , M. A. 1987 . Spin Glass Theory and Beyond , World Scientific .
   Google Scholar
• Schmid , H. 1994 . Multi-ferroic Magnetoelectrics . Ferroelectrics , 162 : 317 – 338 .
   Google Scholar
• Schmid , H. 1973 . Magnetoelectric classification of materials . Intern. J. Magnetism , 4 : 337 – 361 .
   Google Scholar
• Kimura , T. , Goto , T. , Shintani , H. , Ishizaka , K. , Arima , T. and Tokura , Y. 2003 . Magnetic control of ferroelectric polarization . Nature , 426 : 55 – 58 .
   PubMed Web of Science ®Google Scholar
• Lonkai , Th , Tomuta , D. G. , Hoffmann , J.-U. , Schneider , R. , Hohlwein , D. and Ihringer , J. 2003 . Magnetic two-dimensional short-range order in hexagonal manganites . J. Appl. Phys. , 93 : 8191 – 8193 .
   Web of Science ®Google Scholar
• Schmid , H. 2008 . Some symmetry aspects of ferroics and single phase multiferroics . J. Phys.: Condens. Matter , 20 ( 24 ) : 434201
   Google Scholar
• Catalan , G. and Scott , J. F. 2009 . Physics and applications of bismuth ferrite . Adv. Mater. , 21 : 2463 – 2485 .
   Web of Science ®Google Scholar
• Khomskii , D. 2009 . Clasifying multiferroics: mechanisms and effects . Physics , 2 ( 8 ) : 20
   Google Scholar
• Spaldin , N. A. , Cheong , S.-W. and Ramesh , R. 2010 October . Multiferroics: Past, present, and future . Phys. Today , 63 : 38 – 43 .
   Web of Science ®Google Scholar
• Wang , K. F. , Liu , J. M. and Ren , Z. F. 2009 . Multiferroicity: the coupling between magnetic and polarization orders . Adv. Phys. , 58 : 321 – 448 .
   Web of Science ®Google Scholar
• Gopalan , V. and Litvin , D. B. 2011 . Rotation-reversal symmetries in crystals and handed structures . Nature Mater. , 10 : 376 – 381 .
   PubMed Web of Science ®Google Scholar
• Schmid , H. 2001 . On ferrotoroidics and electrotoroidics, magnetotoroidic and piezotoroidic effects . Ferroelectrics , 252 : 41 – 50 .
   Web of Science ®Google Scholar
• Spaldin , N. A. , Fiebig , M. and Mostvoy , M. 2008 . The toroidal moment in condensed-matter physics and its relation to the magnetoelectric effect . J. Phys.: Condens. Matter , 20 ( 15 ) : 434203
   Google Scholar
• Kopaev , Yu. V. 2009 . Toroidal ordering in crystals . Physics – Uspekhi , 52 : 1111 – 1125 .
   Web of Science ®Google Scholar
• Van Aken , B. B. , Rivera , J. P. , Schmid , H. and Fiebig , M. 2007 . Observation of ferrotoroidic domains . Nature , 449 : 702 – 705 .
   PubMed Web of Science ®Google Scholar
• Toyosaki , H. , Kawasaki , M. and Tokura , Y. 2008 . Atomically smooth and single crystalline MnTiO3 thin films with a ferrotoroidic structure . Appl. Phys. Lett. , 93 ( three pages ) : 072507
   Google Scholar
• Chae , S. C. , Horibe , Y. , Jeong , D. Y. , Rodan , S. , Lee , N. and Cheong , S.-W. 2010 . Self-organization, condensation, and annihilation of topological vortices and antivortices in a multiferroic . Proc. Nat. Acad. Sci. (USA) , 107 : 21366 – 21370 .
   PubMed Web of Science ®Google Scholar
• Marinov , K. , Boardman , A. D. , Fedorov , V. A. and Zheludev , N. 2007 . Toroidal metamaterial . New J. Phys. , 9 ( 12 ) : 324
   Google Scholar
• Aizu , K. 1969 . Possible species of “ferroelastic” crystals and of simultaneously ferroelectric and ferroelastic crystals . J. Phys. Soc. Japan , 27 : 387 – 396 .
   Google Scholar
• Aizu , K. 1970 . Possible species of ferromagnetic, ferroelectric, and ferroelastic crystals . Phys. Rev. B , 2 : 754 – 772 .
   Web of Science ®Google Scholar
• Cracknell , A. P. 1972 . Shubnikov point groups and the property of ‘ferroelasticity. . Acta Cryst. A , 28 : 597 – 601 .
   Google Scholar
• Salje , E. K. H. 1993 . Phase Transitions in Ferroelastic and Co-elastic Crystals , Cambridge Univ. Press, Cambridge .
   Google Scholar
• Otsuka , K. and Wayman , C. M. 1998 . Shape Memory Materials , Cambridge Univ. Press, Cambridge .
   Google Scholar
• Saxena , A. and Lookman , T. 2011 . Magnetic symmetry of low-dimnesional multiferroics and ferroelastics . Phase Trans. , 84 : 421 – 437 .
   Web of Science ®Google Scholar
• Neronova , N. N. and Belov , N. V. 1959 . Ferromagnetic and ferroelectric space groups . Kristallografiya , 4 : 807 – 812 . [Sov. Phys.–Cryst. 4, 769–774 (1960)]
   Google Scholar
• Shubnikov , A. V. and Kopstik , V. A. 1974 . Symmetry in Science and Art , Plenum, New York .
   Google Scholar
• Tavger , B. A. 1958 . The symmetry of ferromagnetics and antiferromagnetics . Kristallografiya , 3 : 339 – 341 . [Sov. Phys.–Cryst. 3, pp. 341–343 (1958)]
   Google Scholar
• Kopstik , V. A. and Sirotin , Yu. I. 1961 . The symmetry of piezoelectric and elastic tensors and the symmetry of the physical properties of crystals . Kristallografiya , 6 : 766 – 768 .
   Google Scholar
• Tavger , B. A. 1958 . Symmetry of piezomagnetism of antiferromagnetics . Sov. Phys.-JETP , : 430 – 433 .
   Google Scholar
• Eliseev , E. A. Complete Symmetry Analyses of the Surface Induced Piezomagnetic, Piezoelectric and Linear Magnetoelectric Effects . arXiv:1008.4070 ,
   Google Scholar
• Litvin , D. B. 2008 . Ferroic classifications extended to ferrotoroidic crystals . Acta Cryst. A , 64 : 316 – 320 .
   PubMedGoogle Scholar
• Litvin , D. B. 2008 . Property tensors and ferrotoroidic domains . Ferroelectrics , 376 : 158 – 167 .
   Web of Science ®Google Scholar
• Tolédano , J. C. and Tolédano , P. 1987 . The Landau Theory of Phase Transitions , World Scientific, Singapore .
   Google Scholar
• Barsch , G. R. and Krumhansl , J. A. 1988 . Phys. Rev. Lett. , 18 : 761 53, 1069 (1984); Metallurg. Trans. A
   Google Scholar
• Shenoy , S. R. , Lookman , T. , Saxena , A. and Bishop , A. R. 1999 . Phys. Rev. B , 60 : R12537
   Web of Science ®Google Scholar
• Ahluwalia , R. , Lookman , T. , Saxena , A. and Shenoy , S. R. 2004 . Pattern formation in ferroelastic transitions . Phase Trans. , 77 : 457
   Web of Science ®Google Scholar
• Curnoe , S. H. and Jacobs , A. E. 2001 . Phys. Rev. B , 63 : 094110
   Web of Science ®Google Scholar
• Lookman , T. , Shenoy , S. R. , Rasmussen , K. Ø. , Saxena , A. and Bishop , A. R. 2003 . Phys. Rev. B , 67 : 024114
   Google Scholar
• Rasmussen , K. Ø. , Lookman , T. , Saxena , A. , Bishop , A. R. , Albers , R. C. and Shenoy , S. R. 2001 . Phys. Rev. Lett. , 87 : 055704
   PubMedGoogle Scholar
• Jacobs , A. E. , Curnoe , S. H. and Desai , R. C. 2003 . Phys. Rev. B , 68 : 224104
   Google Scholar
• Hatch , D. M. , Lookman , T. , Saxena , A. and Shenoy , S. R. 2003 . Phys. Rev. B , 68 : 104105
   Google Scholar
• Stokes , H. T. and Hatch , D. M. 1991 . Isotropy Subgroups of the 230 Crystallographic Space Groups (World Scientific, Singapore, 1988) , ISOTROPY . The software package ISOTROPY is available at http://www.physics.byu.edu/~stokesh/isotropy.html
   Google Scholar
• Barsch , G. R. 2000 . Mater. Sci. Forum , 367 : 327 – 328 .
   Google Scholar
• Cao , W. and Cross , L. E. 1991 . Phys. Rev. B , 44 : 5
   PubMed Web of Science ®Google Scholar
• Nambu , S. and Sagala , D. A. 1994 . Phys. Rev. B , 50 : 5838
   PubMed Web of Science ®Google Scholar
• Bell , A. J. 2001 . J. Appl. Phys. , 89 : 3907
   Web of Science ®Google Scholar
• Cao , W. and Barsch , G. R. 1990 . Phys. Rev. B , 41 : 4334
   PubMed Web of Science ®Google Scholar
• Vasil’ev , A. N. , Dozhko , A. D. , Khovailo , V. V. , Dikshtein , I. E. , Shavrov , V. G. , Buchelnikov , V. D. , Matsumoto , M. , Suzuki , S. , Takagi , T. and Tani , J. 1999 . Phys. Rev. , B 59 : 1113
   Google Scholar
• Hu , H. L. and Chen , L. Q. 1997 . Mater. Sci. Eng. , A238 : 182
   Google Scholar
• Ahluwalia , R. and Cao , W. 2001 . Phys. Rev B. , 63 : 012103
   Google Scholar
• Li , Y. L. , Hu , S. Y. , Liu , Z. K. and Chen , L. Q. 2001 . Appl. Phys. Lett. , 78 : 3878
   Web of Science ®Google Scholar
• Shu , Y. C. and Bhattacharya , K. 2001 . Phil. Mag, B , 81 : 2021
   Web of Science ®Google Scholar
• Tanner , L. E. , Schryvers , D. and Shapiro , S. M. 1990 . Mater. Sci. Eng. A , 127 : 205
   Web of Science ®Google Scholar
• Shapiro , S. M. , Larese , J. Z. , Noda , Y. , Moss , S. C. and Tanner , L. E. 1986 . Neutron scattering study of premartensitic behavior in Ni-Al alloys . Phys. Rev. Lett. , 57 : 3199
   PubMed Web of Science ®Google Scholar
• Saxena , A. 2004 . Phys. Rev. Lett. , 92 : 197203
   PubMed Web of Science ®Google Scholar
• Lloveras , P. , Porta , M. , Castan , T. , Planes , A. and Saxena , A. 2008 . Influence of elastic anisotropy on structural nanoscale textures . Phys. Rev. Lett. , 100 : 165707
   PubMed Web of Science ®Google Scholar
• Sarkar , S. , Ren , X. and Otsuka , K. 2005 . Phys. Rev. Lett. , 95 : 205702
   PubMed Web of Science ®Google Scholar
• Nye , J. F. 1985 . Physical Properties of Crystals: Their Representation by Tensors and Matrices , Oxford University Press, Oxford .
   Google Scholar
• 2005 . MRS Bull , 30 ( 6 )
   Google Scholar
• Samara , G. A. 2003 . J. Phys. Condens. Matter , 15 : R367
   Web of Science ®Google Scholar
• Mydosh , J. A. 1993 . Spin Glasses , Taylor & Francis, Philadelphia .
   Google Scholar
• Waitz , T. 2005 . Acta Mater. , 53 : 2273
   Web of Science ®Google Scholar
• Ahn , C. H. , Rabe , K. M. and Triscone , J.-M. 2004 . Science , 303 : 488
   PubMed Web of Science ®Google Scholar
• Fong , D. D. , Stephenson , G. B. , Streiffer , S. K. , Eastman , J. A. , Auciello , O. , Fuoss , P. H. and Thompson , C. 2004 . Science , 304 : 1650
   PubMed Web of Science ®Google Scholar
• Zhang , J. , Yin , Z. , Zhang , M.-S. and Scott , J. F. 2001 . Solid State Commun. , 118 : 241
   Web of Science ®Google Scholar
• Mihailova , B. , Bismayer , U. , Guttler , B. , Gospodinov , M. , Boris , A. , Berndhard , C. , Aroyo , M. and Kristallogr , Z. 2005 . 220 : 740
   Google Scholar
• Zhong , W. , Vanderbilt , D. and Rabe , K. M. 1995 . Phys. Rev. B , 52 : 6301
   PubMed Web of Science ®Google Scholar
• Naumov , I. I. , Bellaiche , L. and Fu , H. 2004 . Nature , 432 : 737
   PubMed Web of Science ®Google Scholar
• Cheon , J. , Park , J. I. , Choi , J.-S. , Jun , Y.-W. , Kim , S. , Kim , M. G. , Kim , Y.-M and Kim , Y. J. 2006 . Proc. Nat. Acad. Sci. U.S.A. , 103 : 3023
   PubMed Web of Science ®Google Scholar
• Vaz , C. A. F. , Hayward , T. J. , Llandro , J. , Schackert , F. , Morecroft , D. , Bland , J. A. C. , Klui , M. , Laufenberg , M. , Backes , D. , Rdiger , U. , Castano , F. J. , Ross , C. A. , Heyderman , L. J. , Nolting , F. , Locatelli , A. , Faini , G. , Cherifi , S. and Wernsdorfer , W. 2007 . J. Phys. Condens. Matter , 19 : 255207
   Google Scholar
• Belotelov , V. I. , Kotov , V. A. and Zvezdin , A. K. 2006 . Phase Trans. , 79 : 1135
   Web of Science ®Google Scholar
• Akola , J. and Jones , R. O. 2008 . Phys. Rev. B , 20 : 465103 76, 235201 (2007); J. Phys. Condens. Matter
   Google Scholar
• Wuttig , M. and Yamada , N. 2007 . Nat. Mater. , 6 : 824
   PubMed Web of Science ®Google Scholar
• Shubnikov , A. V. and Belov , N. V. 1964 . Colored Symmetry , Pergamon, Oxford .
   Google Scholar
• Birss , R. R. 1964 . Symmetry and Magnetism , North-Holland, Amsterdam .
   Google Scholar
• Joshua , S. J. 1991 . Symmetry Principles and Magnetic Symmetry in Solid State Physics , Adam Hilger, Bristol .
   Google Scholar
• Shuvalov , L. A. and Belov , N. V. 1962 . The symmetry of crystals in which ferromagnetic and ferroelectric properties appear simultaneously . Kristallografiya , 7 : 192 – 194 . [Sov. Phys.–Cryst. 7, 150–151 (1962)]
   Google Scholar
• De Graef , M. 2010 . Visualization of Time-Reversal Symmetry in Magnetic Point Groups . Metall. Mater. Trans. , 41A : 1321 – 1329 . http://mpg.web.cmu.edu
   Web of Science ®Google Scholar
• Ren , W. and Bellaiche , L. 2010 . Size effects in multiferroic BiFeO3 nanodots: a first-principles-based study . Phys. Rev. , B 82 ( four pages ) : 113403
   Google Scholar
• Opechowski , W. 1986 . Crystallographic and Metacrystallographic Groups , North-Holland, Amsterdam .
   Google Scholar
• Litvin , D. B. 1999 . Magnetic Subperiodic Groups . Acta Cryst. A , 55 : 963 – 964 . Tables of Properties of Magnetic Subperiodic Groups, Acta Cryst. A 61, 382–385 (2005); http://www.bk.psu.edu/faculty/Litvin
   PubMedGoogle Scholar
• Eds , E. , Kopsky , V. and Litvin , D. B. , eds. 2008 . International Tables for Crystallography, Subperiodic Groups , 5141 – 5145 . Kluwer Academic Publ. . Ferroelectric transitions in diperiodic systems. Jpn. J. Appl. Phys. 24 (Suppl. 2),173–175 (1985)
   Google Scholar
• Choi , Y. J. , Yi , H. T. , Lee , S. , Huang , Q. , Kiryukhin , V. and Cheong , S.-W. Ferroelectricity in an ising chain magnet . Phys. Rev. Lett. , 100 047601-1-047601-4
   Web of Science ®Google Scholar
• Damnjanovic , M. and Vujicic , M. 1982 . Subgroups of weak-direct products and magnetic axial point groups . J. Phys. , 25 A 14, 1055–1063 (1981); Phys. Rev. B 6987
   Google Scholar
• Rottman , C. and Dimensions , Classification of Continuous Phase Transitions of Magnetic Symmetry In 2 . 1982 . Phys. Rev. , B 26
   Google Scholar
• Hatch , D. M. and Stokes , H. T. 1985 . Phase transitions in solids of diperiodic symmetry . Phys. Rev. , B 31 : 4350 – 4354 .
   Google Scholar
• Privratska , J. and Janovec , V. 1997 . Pyromagnetic domain walls connecting antiferromagnetic non-ferroelastic magnetoelectric domains . Ferroelectrics , 204 : 321 – 331 .
   Web of Science ®Google Scholar
• Privratska , J. , Shaparenko , B. , Janovec , V. and Litvin , D. B. 2002 . magnetic point group symmetries of spontaneously polarized and/or magnetized domain walls . Ferroelectrics , 269 : 39 – 44 .
   Web of Science ®Google Scholar
• Niranjan , M. K. , Burton , J. D. , Velev , J. P. , Jaswal , S. S. and Tsymbal , E. Y. 2009 . Magnetoelectric effect at the SrRuO3/BaTiO3 (001) interface: an ab initio study . Appl. Phys. Lett. , 95 ( 3 ) : 052501
   Google Scholar
• Kenzelmann , M. , Lawes , G. , Harris , A. B. , Gasparovic , G. , Broholm , C. , Ramirez , A. P. , Jorge , G. A. , Jaime , M. , Park , S. , Huang , Q. , Shapiro , A. Y. and Demianets , L. A. 2007 . Direct transition from a disordered to a multiferroic phase on a triangular lattice . Phys. Rev. Lett. , 98 267205-1-267205-4
   PubMed Web of Science ®Google Scholar
• Osuch , K. 1991 . Symmetry changes at the neel point in an antiferromagnet on a triangular lattice in an external magnetic field . J. Phys.: Condens. Matter , 3 : 10021 – 10036 .
   Web of Science ®Google Scholar
• Munawar , I. and Curnoe , S. H. 2006 . Magnetic phases of rare-earth hexagonal manganites . J. Phys.: Condens. Matter , 18 : 9575 – 9583 .
   Web of Science ®Google Scholar
• Mostovoy , M. 2006 . Ferroelectricity in spiral magnets . Phys. Rev. Lett. , 96 : 067601
   PubMed Web of Science ®Google Scholar
• Kumar , P. Multiferroic Materials and Their Properties . in this issue ,
   Google Scholar
• Daraktchiev , M. , Catalan , G. and Scott , J. F. 2010 . Landau theory of domain wall magnetoelectricity . Phys. Rev. B , 81 224118-1-12
   Web of Science ®Google Scholar
• Kim , J. W. 2009 . Observation of a multiferroic critical end point . Proc. Nat. Acad. Sci. , 106 : 15573 – 15576 .
   PubMed Web of Science ®Google Scholar
• Ward , D. W. , Statz , E. , Webb , K. J. and Nelson , K. A. The Role of Multiferroics In The Negative Index of Refraction . arXiv:cond-mat/0401046
   Google Scholar