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Jaime Ferrer   Diego Carrascal      Víctor García Suárez
Huge Magnetic Anisotropy in Nanostructures   1/07/2011
                                                         4
Two magnetic states




Magnetism: TM ions
                                      Ultimate Bit:                       MAE: 5d atoms
                                      Our rationale




                              Stability: organic chemistry


                 Huge Magnetic Anisotropy in Nanostructures   1/07/2011
                                                                                          5
Magnetic in Bulk Phase


Nonmagnetic in
bulk, magnetic
 at nanoscale




        “THEORETICAL ENGINEERING”
                       Total Spin ~ 1-10
          • Push up other multiplets to high energies
                • Increase magnetic anisotropy
              Huge Magnetic Anisotropy in Nanostructures   1/07/2011
                                                                       6
EMAE                                         t/τ                               EMAE / KT
                               M = M 0e                             τ = 10 7 e               sec



                           Time requirements for a
                                                                  τ = 1012 seconds
                                     bit


                        EMAE,Critical = EBlocking     50 KTB              Blocking Temperature


                              Set    T B = 300 K                         E Blocking = 1300 meV



To give a flavor: Record: TB in a Mollecular Magnet = 3K ;
Record TB in an inorganic nanostructure: 1.5 K in Co dimers
                Huge Magnetic Anisotropy in Nanostructures   1/07/2011
                                                                                                   8
EMAE      Volume

    EMAE = Edipolar + ESpin-Orbit


                                                           Edipolar >> ESpin-Orbit in bulk
      EMAE                 Edipolar
                                                            Edipolar << ESpin-Orbit in nano

EBlocking
             .

                                       ESpin-Orbit         Critical ~ 25 nm for Fe particles
                                                                 10 nm for Co particles
                 Critical Volume               V
                      Huge Magnetic Anisotropy in Nanostructures   1/07/2011
                                                                                               9
5d




                 4d

  3d
                         5s




Huge Magnetic Anisotropy in Nanostructures   1/07/2011
                                                              10
S,L                                                            S,L




                          d

                                          1
       E                 E||                EMAE
                                          2
      Huge Magnetic Anisotropy in Nanostructures   1/07/2011
                                                                     11
Phys. Rev. Lett. 99, 183401 (2007)
                                    Phys. Rev. Lett. 101, 069903(E) (2008)
                                  Pt2: ground state parallel to the axis, Anisotropy
                                  of ~ 100 meV, S=1
                                  Ir2: ground state parallel to the axis, Anisotropy
                                  of ~ 60 meV, S=2, some changes in the spin with
                                  the distance
                                  Pd2: ground state perpendicular to the axis, tiny
                                  Anisotropy ~ 5 meV, S=1, sudden jump in L a bit
                                  above the equilibrium distance
                                  Au2: ground state in singlet, L=0, S=0.
                                  Many of this, or very similar results, have been
                                  confirmed indepently and by different methods
                                  by other groups, for instance Piotr Błoński and
                                  Jürgen Hafner 2011 J. Phys.: Condens. Matter
                                  23, 136001 or Ruijuan Xiao, Daniel Fritsch et
                                  al., Phys Rev. B 82, 205125




Huge Magnetic Anisotropy in Nanostructures   1/07/2011
                                                                                       13
Phys. Rev. B 75, 075415 (2007)




Huge Magnetic Anisotropy in Nanostructures   1/07/2011
                                                                     15
 See if reducing the number of TM atoms we
  can understand things better
 And try organic matrices:



        Oscillating spin-density pattern in gold metallocene
phthalocyanines and metallocenes
        and phthalocyanine molecules
        Diego Carrascal, Lucas Fernández-Seivane, Jaime
        Ferrer
        Phys. Rev.
        B, 80, 18, 184415 (2009); arXiv:0904.1138v1



            Huge Magnetic Anisotropy in Nanostructures   1/07/2011
                                                                     16
Spin ½ molecules


                             C

                                               H                N




Metallocenes (TMCp2)                        Phthalocyanines (TMPc)
           Huge Magnetic Anisotropy in Nanostructures   1/07/2011
                                                                     17
Cobalt                           Copper                           Gold




   UNCONVENTIONAL MAGNETISM IN AuCp2


         Huge Magnetic Anisotropy in Nanostructures   1/07/2011
                                                                         18
Huge Magnetic Anisotropy in Nanostructures   1/07/2011
                                                         19
Cobalt                             Copper                           Gold




    UNCONVENTIONAL MAGNETISM IN AuPc

         Phys. Rev. B, 80, 18, 184415 (2009)
         arXiv:0904.1138v1
           Huge Magnetic Anisotropy in Nanostructures   1/07/2011
                                                                           20
Huge Magnetic Anisotropy in Nanostructures   1/07/2011
                                                         21
 Look  for molecules containing 5d elements →
  large SO interaction
 Unconventional magnetism in gold organometallic

 molecules
 Most   molecules have S=0 or ½
 A few Alkene-based                molecules had a higher spin
 and MAE ~ 10 meV
 Failure   to find huge magnetic anisotropies

              Huge Magnetic Anisotropy in Nanostructures   1/07/2011
                                                                       23
SIESTA
   The Siesta method; developments and applicability.
   E. Artacho, E. Anglada, et al. J. Phys.: Condens. Matter 20, 064208 (2008).
SIESTA+SO
   On-site approximation for spin-orbit coupling in LCAO density functional methods. L.
    Fernandez-Seivane, M. A. Oliveira, S. Sanvito, J. Ferrer, J. Phys. : Condens. Matter 18 7999
    (2006); arxiv:cond-mat/0601093
   Predictions for the formation of new atomic chains in Mechanically Controllable Break
    Junction experiments
    L. Fernandez-Seivane, V. M. Garcia-Suarez, J. Ferrer
    Phys. Rev. B 75, 075415 (2007); arXiv:cond mat/0611624v1
   Magnetic anisotropies of late transition metal atomic clusters
    Lucas Fernández-Seivane, Jaime Ferrer
    Phys. Rev. Lett. 99, 183401 (2007); arXiv:cond-mat/0610879v2
    Oscillating spin-density pattern in gold metallocene and phthalocyanine molecules
    Diego Carrascal, Lucas Fernández-Seivane, Jaime Ferrer
    Phys. Rev. B, 80, 18, 184415 (2009); arXiv:0904.1138v1
   Magnetic properties of small Pt-capped Fe, Co, and Ni clusters: A density functional theory
    study
    Sahoo, S.; Hucht, A.; Gruner, M. E.; et al.
    Phys. Rev. B 82, 054418 (2010); arxviv:0907.2678
   Magnetic properties of Fe-2n and (FePt)(n) (n <= 5) clusters and magnetic anisotropy of
    transition metal dimers
    Boufala, K.; Fernandez-Seivane, L.; Ferrer, J.; et al.
    Journal of Magnetism and Magnetic Materials, 322, 21 Pages:3428-3437 (2010)


                        Huge Magnetic Anisotropy in Nanostructures   1/07/2011
                                                                                                   24
Huge Magnetic Anisotropy in Nanostructures   1/07/2011
                                                         25

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Ismanam 2011 fernandez seivane

  • 1. http://sites.google.com/site/quevedin/ Jaime Ferrer Diego Carrascal Víctor García Suárez
  • 2. Huge Magnetic Anisotropy in Nanostructures 1/07/2011 4
  • 3. Two magnetic states Magnetism: TM ions Ultimate Bit: MAE: 5d atoms Our rationale Stability: organic chemistry Huge Magnetic Anisotropy in Nanostructures 1/07/2011 5
  • 4. Magnetic in Bulk Phase Nonmagnetic in bulk, magnetic at nanoscale “THEORETICAL ENGINEERING” Total Spin ~ 1-10 • Push up other multiplets to high energies • Increase magnetic anisotropy Huge Magnetic Anisotropy in Nanostructures 1/07/2011 6
  • 5. EMAE t/τ EMAE / KT M = M 0e τ = 10 7 e sec Time requirements for a τ = 1012 seconds bit EMAE,Critical = EBlocking 50 KTB Blocking Temperature Set T B = 300 K E Blocking = 1300 meV To give a flavor: Record: TB in a Mollecular Magnet = 3K ; Record TB in an inorganic nanostructure: 1.5 K in Co dimers Huge Magnetic Anisotropy in Nanostructures 1/07/2011 8
  • 6. EMAE Volume EMAE = Edipolar + ESpin-Orbit Edipolar >> ESpin-Orbit in bulk EMAE Edipolar Edipolar << ESpin-Orbit in nano EBlocking . ESpin-Orbit Critical ~ 25 nm for Fe particles 10 nm for Co particles Critical Volume V Huge Magnetic Anisotropy in Nanostructures 1/07/2011 9
  • 7. 5d 4d 3d 5s Huge Magnetic Anisotropy in Nanostructures 1/07/2011 10
  • 8. S,L S,L d 1 E E|| EMAE 2 Huge Magnetic Anisotropy in Nanostructures 1/07/2011 11
  • 9. Phys. Rev. Lett. 99, 183401 (2007) Phys. Rev. Lett. 101, 069903(E) (2008) Pt2: ground state parallel to the axis, Anisotropy of ~ 100 meV, S=1 Ir2: ground state parallel to the axis, Anisotropy of ~ 60 meV, S=2, some changes in the spin with the distance Pd2: ground state perpendicular to the axis, tiny Anisotropy ~ 5 meV, S=1, sudden jump in L a bit above the equilibrium distance Au2: ground state in singlet, L=0, S=0. Many of this, or very similar results, have been confirmed indepently and by different methods by other groups, for instance Piotr Błoński and Jürgen Hafner 2011 J. Phys.: Condens. Matter 23, 136001 or Ruijuan Xiao, Daniel Fritsch et al., Phys Rev. B 82, 205125 Huge Magnetic Anisotropy in Nanostructures 1/07/2011 13
  • 10. Phys. Rev. B 75, 075415 (2007) Huge Magnetic Anisotropy in Nanostructures 1/07/2011 15
  • 11.  See if reducing the number of TM atoms we can understand things better  And try organic matrices: Oscillating spin-density pattern in gold metallocene phthalocyanines and metallocenes and phthalocyanine molecules Diego Carrascal, Lucas Fernández-Seivane, Jaime Ferrer Phys. Rev. B, 80, 18, 184415 (2009); arXiv:0904.1138v1 Huge Magnetic Anisotropy in Nanostructures 1/07/2011 16
  • 12. Spin ½ molecules C H N Metallocenes (TMCp2) Phthalocyanines (TMPc) Huge Magnetic Anisotropy in Nanostructures 1/07/2011 17
  • 13. Cobalt Copper Gold UNCONVENTIONAL MAGNETISM IN AuCp2 Huge Magnetic Anisotropy in Nanostructures 1/07/2011 18
  • 14. Huge Magnetic Anisotropy in Nanostructures 1/07/2011 19
  • 15. Cobalt Copper Gold UNCONVENTIONAL MAGNETISM IN AuPc Phys. Rev. B, 80, 18, 184415 (2009) arXiv:0904.1138v1 Huge Magnetic Anisotropy in Nanostructures 1/07/2011 20
  • 16. Huge Magnetic Anisotropy in Nanostructures 1/07/2011 21
  • 17.  Look for molecules containing 5d elements → large SO interaction  Unconventional magnetism in gold organometallic molecules  Most molecules have S=0 or ½  A few Alkene-based molecules had a higher spin and MAE ~ 10 meV  Failure to find huge magnetic anisotropies Huge Magnetic Anisotropy in Nanostructures 1/07/2011 23
  • 18. SIESTA  The Siesta method; developments and applicability. E. Artacho, E. Anglada, et al. J. Phys.: Condens. Matter 20, 064208 (2008). SIESTA+SO  On-site approximation for spin-orbit coupling in LCAO density functional methods. L. Fernandez-Seivane, M. A. Oliveira, S. Sanvito, J. Ferrer, J. Phys. : Condens. Matter 18 7999 (2006); arxiv:cond-mat/0601093  Predictions for the formation of new atomic chains in Mechanically Controllable Break Junction experiments L. Fernandez-Seivane, V. M. Garcia-Suarez, J. Ferrer Phys. Rev. B 75, 075415 (2007); arXiv:cond mat/0611624v1  Magnetic anisotropies of late transition metal atomic clusters Lucas Fernández-Seivane, Jaime Ferrer Phys. Rev. Lett. 99, 183401 (2007); arXiv:cond-mat/0610879v2 Oscillating spin-density pattern in gold metallocene and phthalocyanine molecules Diego Carrascal, Lucas Fernández-Seivane, Jaime Ferrer Phys. Rev. B, 80, 18, 184415 (2009); arXiv:0904.1138v1  Magnetic properties of small Pt-capped Fe, Co, and Ni clusters: A density functional theory study Sahoo, S.; Hucht, A.; Gruner, M. E.; et al. Phys. Rev. B 82, 054418 (2010); arxviv:0907.2678  Magnetic properties of Fe-2n and (FePt)(n) (n <= 5) clusters and magnetic anisotropy of transition metal dimers Boufala, K.; Fernandez-Seivane, L.; Ferrer, J.; et al. Journal of Magnetism and Magnetic Materials, 322, 21 Pages:3428-3437 (2010) Huge Magnetic Anisotropy in Nanostructures 1/07/2011 24
  • 19. Huge Magnetic Anisotropy in Nanostructures 1/07/2011 25