PUBBLICAZIONI

1) R. Zivieri, “Metamaterial description of magnonic modes along GM direction in a 2D antidot lattice”, Proceedings of Metamaterials’2013, 7^th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics, in press.

2) R. Zivieri and P. Malagò, “Metamaterial properties of a 3D permalloy/cobalt magnonic crystal”,  Proceedings of Metamaterials’2013, 7^th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics, in press.

3) G. Gubbiotti, G. Carlotti, T. Okuno, T. Shinjo, F. Nizzoli, and R. Zivieri, “Brillouin light    scattering investigations of dynamic spin modes confined in cylindrical Permalloy dots”, Physical Review B 88, 059903(E)-1 (2013).

4) R. Zivieri, P. Malagò, L. Giovannini, S. Tacchi, G. Gubbiotti, and A. O. Adeyeye, “Soft magnonic modes in two-dimensional permalloy antidot lattices”, Journal of Physics: Condensed Matter 25, 33602 (2013).

5) R. Zivieri and L. Giovannini, “Effective quantities and effective rules in two-dimensional antidote lattices”, Photonics and Nanostructures-Fundamental and Applications 11, 191-202 (2013).

6) G. Gubbiotti, S. Tacchi, M. Madami, G. Carlotti, R. Zivieri, F. Montoncello, F. Nizzoli,  and L. Giovannini, "Spin Wave Band Structure in Two-Dimensional Magnonic Crystals", in "Magnonics: From Fundamentals to Applications", Edited by S. O. Demokritov and A. N.  Slavin, Series: TOPICS IN APPLIED PHYSICS, Vol. 125, Ch. 15, pp. 205-221 (Springer,  Berlin, 2013),  ISBN  978-364-23-0246-6.

7) R. Zivieri and L. Giovannini, “Metamaterial properties of two-dimensional antidot lattices” Metamaterials 6, e127-e138 (2012).

8) R. Zivieri, “Metamaterial  properties  of one-dimensional and two-dimensional magnonic crystals”, Solid State Physics 63, 151-216 (2012).

9) R. Zivieri, “Effective properties of a two-dimensional magnonic metamaterial”, Proceedings of Metamaterials’2012, 6^th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics 79 624-626 (2012), ISBN 978-952-67611-2-1.

10) R. Zivieri, G. Consolo, E. Martinez, and J. Akerman, “Low-dimensional magnetic systems”, Advances in Condensed Matter Physics 2012, 1, ID671416 (2012).

11)  R. Zivieri and G. Consolo, “Hamiltonian and Lagrangian Dynamical Matrix Approaches Applied to Magnetic Nanostructures”, Advances in Condensed Matter Physics 2012, 1-16, ID765709 (2012).   

12) V. V. Kruglyak, M. Dvornik, R. V. Mikhaylovskiy, O. Dmytriiev, G. Gubbiotti, S. Tacchi,  M. Madami, G. Carlotti, F. Montoncello, L. Giovannini, R. Zivieri, J. W. Klos, M. L.  Sokolovskyy, S. Mamica, M. Krawczyk, M. Okuda, J.-C. Eloi, S. Ward Jones, W. Schwarzacher, T. Schwarze, F. Brandl, D. Grundler, D. V. Berkov, E. Semenova, and N. Gorn, “Magnonic metamaterials”, in book “Metamaterial” pp. 341-370 (InTech, Rijeka, 2012), ISBN  978-953-51-0591-6.

13) G. Consolo, L. Giovannini, and R. Zivieri, “Excitation of magnetic normal modes by spin-torque: a Lagrangian approach”, Journal of Applied Physics 111, 07C916-1-3  (2012).

14) R. Zivieri, F. Montoncello, L. Giovannini, F. Nizzoli, S. Tacchi, M. Madami, G. Gubbiotti,  G. Carlotti, and D. Gründler, “Bragg  diffraction of spin waves from a two-dimensional antidot lattice”, Physical Review B 85, 012403-1-6 (2012).

15) S. Tacchi, F. Montoncello, M. Madami, G. Gubbiotti, G. Carlotti, L. Giovannini, R. Zivieri,   F. Nizzoli, S. Jain, A.O. Adeyeye, and N. Singh, “Band diagram of spin waves in a two-dimensional magnonic crystal”, Physical Review Letters 107, 127204-1-5 (2011).

16) R. Zivieri, F. Montoncello, L. Giovannini, F. Nizzoli, S. Tacchi, M. Madami, G.  Gubbiotti,  G. Carlotti, and A.O. Adeyeye, “Metamaterial properties of arrays of rectangular magnetic dots”, Proceedings of Metamaterials’2011, 5^th  International Congress on Advanced Electromagnetic Materials in Microwaves and Optics, 35 245-247 (2011), ISBN 978-952-67611-0-7.

17)  G. Consolo, G. Gubbiotti, L. Giovannini, and R. Zivieri, “Lagrangian formulation of the  linear autonomous magnetization dynamics”, Applied Mathematics and Computation 217, 8204-8215 (2011).

18) R. Zivieri, F. Montoncello, L. Giovannini, F. Nizzoli, S. Tacchi, M. Madami, G. Gubbiotti, G. Carlotti, and A.O. Adeyeye, “Effect of interdot separation on collectie magnonic  modes  in chains of rectangular dots ”, IEEE Transactions on Magnetics 47, 1563-1566  (2011).

19) R. Zivieri, F. Montoncello, L. Giovannini, F. Nizzoli, S. Tacchi, M. Madami, G. Gubbiotti, G. Carlotti, and A.O. Adeyeye, “Collective spin modes in chains of dipolarly interacting  rectangular magnetic dots”, Physical Review B 83, 054431-1-7 (2011).

20) G. Consolo, V. Puliafito, L. Lopez-Diaz, R. Zivieri, F. Nizzoli, L. Giovannini, G.Valenti,  and B. Azzerboni, “Combined Frequency-Amplitude Nonlinear Modulation: Theory and Applications”, IEEE Transactions on Magnetics  46, 3629-3634 (2010).

21)  F. Montoncello, L. Giovannini, F. Nizzoli, R. Zivieri, G. Consolo and G. Gubbiotti,  “Spin- wave normal mode activation in magnetic-nanopillars with elliptical cross-section”,  Journal of Magnetism and Magnetic Materials 322, 2330-2334 (2010).

22) R. Zivieri and F. Nizzoli, “Spin excitations in vortex-state magnetic cylindrical dots:  from nanometric  to micrometric size” in “Electromagnetic, Magnetostatic, and Exchange- Interaction Vortices in Confined Magnetic Structures” edited by E.O. Kamenetskii  ISBN: 978-81-7895-373-1 (Transworld  Research Network, Kerala, India)  1-27 (2008). 

23)  R. Zivieri and F. Nizzoli, “Dipolar magnetic fields of spin excitations in vortex-state cylindrical ferromagnetic dots”, Physical Review B 78, 064418-1-23 (2008).

24)  R. Zivieri, G. Santoro and A. Franchini, “Localized spin modes in ferromagnetic  cylindrical dots with in-plane magnetization”, Journal of  Physics: Condens. Matter 19, 305012-1-15 (2007).

25) L. Giovannini, F. Montoncello, R. Zivieri and F. Nizzoli, “Spin excitations in nanometric  magnetic dots: calculations and comparison with light scattering measurements”, Journal of Physics Condensed Matter 19, 225008-1-22 (2007).

26)  R.  Zivieri and F. Nizzoli, “Theory of spin modes in vortex-state ferromagnetic  cylindrical dots”, Physical Review B 74, 219901-1 (E) (2006).

27) R. Zivieri and R.L. Stamps, “Theory of spin wave modes in tangentially magnetized thin  cylindrical dots: A variational approach”, Physical Review B 73, 189901-1(E) (2006). Publisher’s note.

28) R. Zivieri and R.L. Stamps, “Theory of spin wave modes in tangentially magnetized thin  cylindrical dots: A variational approach”, Physical Review B 73, 144422-1-17 (2006).

29)   R. Zivieri and F. Nizzoli, “Theory of spin modes in vortex-state ferromagnetic cylindrical dots”, Physical Review B 71,  014411-1-5 (2005); Selezionato per la pubblicazione in  Virtual Journal of Nanoscale Science & Technology, Volume 11, Issue 2, Section  Nanomagnetism and Spintronics, Articolo n^o 1,  January 17^th 2005.

30)  P. Castrucci, R. Gunnella, P. Candeloro, E. Di Fabrizio, M. Conti, G. Carlotti, G. Gubbiotti,  F. Montoncello, R. Zivieri, M. Scarselli and  M. De Crescenzi, “Magnetic properties of  rectangular permalloy prisms: a combined magnetic force microscopy and magneto-optic Kerr study”, Surface Science 566-568, 291-296 (2004).

31) R. Zivieri, F. Montoncello. L. Giovannini, and F. Nizzoli, “Spin modes in a tangentially magnetized elliptical dot”, Digests of Intermag Conference, Boston, pp. GC09 (2003). Indexed in Scopus. ISSN: 00746843.

32) G. Gubbiotti, G. Carlotti, T. Okuno, T. Shinjo, F. Nizzoli and R. Zivieri, “Brillouin light    scattering investigations of dynamic spin modes confined in cylindrical Permalloy dots”, Physical Review B 68, 184409-1-7 (2003). Selezionato per la pubblicazione in Virtual Journal of Nanoscale Science & Technology, Volume 8, Issue 21, Section Nanomagnetism and Spintronics, Articolo n^o 7, November 24^th 2003.

33)  P. Candeloro, M. Conti, R. Kumar, M. Altissimo, L. Businaro, E. Di Fabrizio, G. Gubbiotti, G. Carlotti, A. Gerardino, R. Zivieri and O. Donzelli, “X-Ray lithography patterning of magnetic materials and their characterization”, Japanese Journal of  Applied  Physics 42, 3802-3806 (2003).  

34)  G. Gubbiotti, P. Candeloro, L. Businaro, E. Di Fabrizio, A. Gerardino, R. Zivieri, M.  Conti,  and G. Carlotti, “Spin-wave frequency discretization in submicron rectangular prisms”, Journal of Applied Physics  93, 7595-7597 (2003).

35)  G. Gubbiotti, G. Carlotti, R. Zivieri, F. Nizzoli, T. Okuno, T. Shinjo, “Spin wave modes in  submicron cylindrical dots”, Journal of Applied Physics 93, 7607-7609 (2003).

36) R. Zivieri, G. Gubbiotti, G. Carlotti, R. Zivieri, F. Nizzoli, T. Okuno, and T. Shinjo, “Dynamic properties of submicron circular permalloy dots”, Proceedings of Intermag Conference, Amsterdam pp. GV13 (2002). Indexed in Scopus. ISSN: 00746843

37)   G. Gubbiotti, G. Carlotti, F. Nizzoli, R. Zivieri, T. Okuno, and T. Shinjo, “ Magnetic    properties  of submicron circular permalloy dots”, IEEE Transactions on Magnetics 38,  2532-2534 (2002).

38)   R. Zivieri, L. Giovannini, and P. Vavassori, “Theory of Brillouin Cross Section from Magnetic Nanostructured Multilayers”, Chapter 5 of ‘Nanostructured Magnetic Materials’ in  “Handbook of Nanostructured Materials and Nanotechnology”, Edited by H. S. Nalwa, (American Scientific Publishers, California), pp.203-260, (2002), ISBN 978-158-88-3000-5.

39)  R. Zivieri, P. Vavassori, L. Giovannini, F. Nizzoli, Eric E. Fullerton, and M. Grimsditch, “Stokes anti-Stokes peak intensity interchange across a first-order phase  transition”,Surface  Science 507-510, 502-506 (2002).

40)  R. Zivieri, P. Vavassori, L. Giovannini, F. Nizzoli, Eric E. Fullerton, M.  Grimsditch and  V. Metlushko, “Stokes—anti-Stokes Brillouin intensity asymmetry of spin-wave  modes in films  and   ferromagnetic multilayers ”,  Physical Review B 65, 165406-1-6  (2002).

41)  G. Gubbiotti, G. Carlotti, M. A. Ciria, F. Spizzo, R. Zivieri, L. Giovannini, F. Nizzoli,  and  R. C. O’Handley, “Antiferromagnetic coupling in perpendicularly magnetized  Ni/Cu/Ni epitaxial trilayers”, Journal of Magnetism and Magnetic Materials 240, 461-463 (2002).

42)  G. Gubbiotti, G. Carlotti, A. Montecchiari, M. De Crescenzi, R. Zivieri, L. Giovannini,  and F. Nizzoli, “Interlayer exchange coupling in asymmetric Fe(110)/Cu/Fe(110) thin films studied by Brillouin light scattering”, Surface Science 482-485, 970-975 (2001).

43)   R. Zivieri, L. Giovannini, F. Nizzoli, G. Carlotti, G. Gubbiotti, and M. De Crescenzi, “Brillouin scattering cross section in Fe(110)/Cu(111)/Fe(110) asymmetric bilayers”, Journal of Applied  Physics  89,  7077-7079 (2001).

44)   L. Giovannini, R. Zivieri, F. Nizzoli, G. Gubbiotti, and G. Carlotti, “Second order  magneto- optic effects in Brillouin scattering from spin waves in magnetic multilayers”,  Journal of Applied  Physics  89,  6698-6700  (2001).

45)  L. Giovannini, R. Zivieri, G. Gubbiotti, G. Carlotti, L. Pareti, and G. Turilli, “Theory of   Brillouin cross section for scattering from magnetic multilayers: second order magneto-  optic effect in Ni/Cu bi- and tri-layers”, Physical Review B 63, 104405-1-9 (2001).

46)   G. Gubbiotti, G. Carlotti, A. Montecchiari, M. De Crescenzi, R. Zivieri, L. Giovannini,  and   F. Nizzoli, “Brillouin light scattering study of ferromagnetically coupled  Cu/Fe(110)/Cu/Fe(110)/Cu/Si(111) heterostructures: bilinear exchange magnetic  coupling”, Physical Review B 62, 16109-16115 (2000).

47)  R. Zivieri, L. Giovannini, and F. Nizzoli, “Acoustical and optical spin modes of multilayers with ferromagnetic and antiferromagnetic coupling”, Physical Review B  62, 14950-14955 (2000).

48) P. Vavassori, M. Grimsditch, E. Fullerton, L. Giovannini, R. Zivieri, and F. Nizzoli,   “Brillouin light scattering study of an exchange coupled asymmetric trilayer of  Fe/Cr”, Surface Science 454-456, 880-884 (2000).

49) R. Zivieri, G. Santoro, and V. Bortolani, “Premelting of the Al(110) surface from a  local  perspective”, Physical Review B 62, 9985-9988 (2000).

50)  R. Zivieri, G. Santoro, and  V. Bortolani,  “Anharmonicity on Al(100) and Al(111)  surfaces”,  Physical Review B 59, 15959-15963 (1999).

51) R. Zivieri, G. Santoro, and  V. Bortolani,  “Multiphonon effects in the one-phonon  cross section of Al”,  Physical Review B 58, 5429-5434  (1998).

ARTICOLI  SOTTOMESSI

1) R. Zivieri, “Effective scattering of collective modes in two-dimensional magnonic crystals” submitted to New Journal of Physics.

2) R. Zivieri, P. Malagò, and L. Giovannini, “Magnonic modes in three-dimensional permalloy/cobalt binary systems” submitted to Physical Review B.

LAVORI  IN  PREPARAZIONE

1) R. Zivieri, “Universal behavior and dynamic critical phenomena in two-dimensional ferromagnetic antidot lattices”.

2) R. Zivieri and G. Consolo, “Symmetries of vortex-state linearized equations of motion in ferromagnetic dots”.

3) R. Zivieri, “Density of chirality equation in a vortex-state cylindrical ferromagnet”.