calculation of stm spectra · sp-stm of copc on co(111) at v bias =0.51 ev, left spin down, right...

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1 C alculation of STM spectra: C alculation of STM spectra: Co-Phthalocyanine on metallic surfaces Co-Phthalocyanine on metallic surfaces Institute of Theoretical Physics I TU Bergakademie Freiberg L eipziger Str. 23 I 09599 Freiberg I tbrum m e@gm x.de

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Page 1: Calculation of STM spectra · SP-STM of CoPc on Co(111) at V bias =0.51 eV, left Spin Down, right Spin Up. 21 Fe-Phthalocyanine - Co(111) 22 Magnetic interactions

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Calculation of STM spectra:Calculation of STM spectra:

Co-Phthalocyanine on metallic surfacesCo-Phthalocyanine on metallic surfaces

I n s ti tu te o f T h e o re ti c a l P h y s i c s I T U B e rg a k a d e m i e F re i b e rgL e i p z i g e r S tr. 2 3 I 0 9 5 9 9 F re i b e rg I tb ru m m e @g m x .d e

Page 2: Calculation of STM spectra · SP-STM of CoPc on Co(111) at V bias =0.51 eV, left Spin Down, right Spin Up. 21 Fe-Phthalocyanine - Co(111) 22 Magnetic interactions

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OverviewOverview

Motivation

Theoretical background and computational methods

Co-Phthalocyanine on metallic surfaces

– Cu(111)– Co(111)

Summary and outlook

Page 3: Calculation of STM spectra · SP-STM of CoPc on Co(111) at V bias =0.51 eV, left Spin Down, right Spin Up. 21 Fe-Phthalocyanine - Co(111) 22 Magnetic interactions

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MotivationMotivation

Application of phthalocyanines– Dye in paper and plastics industry– Sensors, fuel cells, medicine– Model compound for biological important

metallo-porphyrins– Organic electronics, e.g. OLEDs

Nearly all Me-Phthalocyanines have a magnetic moment=> possible application in spintronics and in storage devices

Phthalocyanine

Page 4: Calculation of STM spectra · SP-STM of CoPc on Co(111) at V bias =0.51 eV, left Spin Down, right Spin Up. 21 Fe-Phthalocyanine - Co(111) 22 Magnetic interactions

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Metal-Molecule-Interaction

Investigation of surfaces(with adsorbed substances)

– Scanning Tunneling Microscope (STM)– SP-STM (Spin Polarized)– Constant-Current-Mode

STS-mode (Scanning Tunneling Spectroscopy)– Measurement of dI/dV => differential conductance

MotivationMotivation

STM tip

surface

Page 5: Calculation of STM spectra · SP-STM of CoPc on Co(111) at V bias =0.51 eV, left Spin Down, right Spin Up. 21 Fe-Phthalocyanine - Co(111) 22 Magnetic interactions

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Theoretical BackgroundTheoretical Background

Ground state of a quantum mechanical many-electron system

=> Density functional theory

Calculation of STM- and STS-images by means of the

Tersoff-Hamann-approximation [1]

Used codes / programs: PWscf, XCrysDen

I R ∝ ∑E nEF−e V bias

EnE F

|R , En|2=: nR ,V bias

[1] J. Tersoff and D.R. Hamann, Phys. Rev. B, 31(2) (1985).

Page 6: Calculation of STM spectra · SP-STM of CoPc on Co(111) at V bias =0.51 eV, left Spin Down, right Spin Up. 21 Fe-Phthalocyanine - Co(111) 22 Magnetic interactions

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How is the molecule bonded to the surface?=> Electronic structure of the free molecule important

Bond between cobalt d-orbitals andphthalocyanine-ligand

Strongest bond between Co dx²-y² and nitrogen

Bonds between degenerated dxz/dyz-orbitals and two different ligand-orbitals

Co-PhthalocyanineCo-Phthalocyanine

CoPc

Page 7: Calculation of STM spectra · SP-STM of CoPc on Co(111) at V bias =0.51 eV, left Spin Down, right Spin Up. 21 Fe-Phthalocyanine - Co(111) 22 Magnetic interactions

Calculated energy-level diagram of the central cobalt of CoPc.

Page 8: Calculation of STM spectra · SP-STM of CoPc on Co(111) at V bias =0.51 eV, left Spin Down, right Spin Up. 21 Fe-Phthalocyanine - Co(111) 22 Magnetic interactions

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Investigated surfaces:Cu(111), Cu(001), Co(111)

Bridge-position always energetically preferred,hollow-position unfavorable

Reasons:– Ligand-surface-interaction– Symmetry

x- / y-direction not degenerated anymore

Co-PhthalocyanineCo-Phthalocyanine

Different positions of CoPc on surfaces.

Page 9: Calculation of STM spectra · SP-STM of CoPc on Co(111) at V bias =0.51 eV, left Spin Down, right Spin Up. 21 Fe-Phthalocyanine - Co(111) 22 Magnetic interactions

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Axis, defined by the bridge atoms, is preferred one.

Direct bond between central cobalt and surface copper results in zero magnetization.

Most intense signal in STM-images above the cobalt, because of the weakly bonded d-electrons.

Considering that the cobalt LUMO (Lowest Unoccupied Molecular Orbital) is partly occupied yields good agreement between theory and experiment.

Co-Phthalocyanine – Cu(111)Co-Phthalocyanine – Cu(111)

Page 10: Calculation of STM spectra · SP-STM of CoPc on Co(111) at V bias =0.51 eV, left Spin Down, right Spin Up. 21 Fe-Phthalocyanine - Co(111) 22 Magnetic interactions

Resonances from lowest to highest sample bias:

– Co dxy (HOMO*1 – 1 of the freemolecule)

– Bond tween Co dπ – N p – OF Cu

– Co dz² and dπ

– Broad peak at -0.5eV – 0eV (ex-periment) and the 2 peaks (theory)–> Ligand HOMO

– Ligand LUMO– Bond tween Co and ligandd x2− y2

*

STS above different positions of the CoPc*1 Highest Occupied Molecular Orbital

Page 11: Calculation of STM spectra · SP-STM of CoPc on Co(111) at V bias =0.51 eV, left Spin Down, right Spin Up. 21 Fe-Phthalocyanine - Co(111) 22 Magnetic interactions

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Co-Phthalocyanine – Co(111)Co-Phthalocyanine – Co(111)

Cobalt is magnetic at low temperatures

Stronger interaction between CoPc and surface

Significant differences between Spin Up and Spin Down

Cobalt LUMO (dz²) again partly occupied=> reduced magnetic moment

At EF mainly minority-states

The CoPc is coupled ferromagnetically to the surface=> – 2. Goodenough-Kanamori rule for direct exchange – Superexchange through the inner nitrogen

Page 12: Calculation of STM spectra · SP-STM of CoPc on Co(111) at V bias =0.51 eV, left Spin Down, right Spin Up. 21 Fe-Phthalocyanine - Co(111) 22 Magnetic interactions

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Significant differences between magnetic and non-magnetic

surfaces

Differences between the various positions on a surface

smaller

“How” and “Where” the molecule is adsorbed is determined by

the ligand

Good agreement between theory and experiment

SummarySummary

Page 13: Calculation of STM spectra · SP-STM of CoPc on Co(111) at V bias =0.51 eV, left Spin Down, right Spin Up. 21 Fe-Phthalocyanine - Co(111) 22 Magnetic interactions

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More (magnetic) surfaces

Different metals in MePc

Other molecules

Transport through molecules on surfaces

But: comparison between theory and experiment is important

OutlookOutlook

Page 14: Calculation of STM spectra · SP-STM of CoPc on Co(111) at V bias =0.51 eV, left Spin Down, right Spin Up. 21 Fe-Phthalocyanine - Co(111) 22 Magnetic interactions

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Special thanks go to:– Jean-Pierre Bucher, Laurent Limot Institut de Physique et Chimie des Matériaux de Strasbourg

Accepted for publication in PRL “Visualizing the Spin of Individual Cobalt-Phthalocyanine Molecules”

http://arxiv.org/abs/0805.0485

– ZIH Dresden

Page 15: Calculation of STM spectra · SP-STM of CoPc on Co(111) at V bias =0.51 eV, left Spin Down, right Spin Up. 21 Fe-Phthalocyanine - Co(111) 22 Magnetic interactions

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Thank you for your

attention!

Page 16: Calculation of STM spectra · SP-STM of CoPc on Co(111) at V bias =0.51 eV, left Spin Down, right Spin Up. 21 Fe-Phthalocyanine - Co(111) 22 Magnetic interactions

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Co-Phthalocyanine - Cu(111)Co-Phthalocyanine - Cu(111)

Page 17: Calculation of STM spectra · SP-STM of CoPc on Co(111) at V bias =0.51 eV, left Spin Down, right Spin Up. 21 Fe-Phthalocyanine - Co(111) 22 Magnetic interactions

Comparison between calculated (blue-red) and measured (black-green) STM-images at different bias-voltages. Upper left (right) -1.4eV (-0.5eV), lower left (right) -0.1eV (1.5eV).

Page 18: Calculation of STM spectra · SP-STM of CoPc on Co(111) at V bias =0.51 eV, left Spin Down, right Spin Up. 21 Fe-Phthalocyanine - Co(111) 22 Magnetic interactions

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Co-Phthalocyanine - Cu(001)Co-Phthalocyanine - Cu(001)

Structure of CoPc on Cu(001), superimposed: STM-image at 1.57 eV.

Page 19: Calculation of STM spectra · SP-STM of CoPc on Co(111) at V bias =0.51 eV, left Spin Down, right Spin Up. 21 Fe-Phthalocyanine - Co(111) 22 Magnetic interactions

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Co-Phthalocyanine - Co(111)Co-Phthalocyanine - Co(111)

Page 20: Calculation of STM spectra · SP-STM of CoPc on Co(111) at V bias =0.51 eV, left Spin Down, right Spin Up. 21 Fe-Phthalocyanine - Co(111) 22 Magnetic interactions

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Co-Phthalocyanine – Co(111)Co-Phthalocyanine – Co(111)

SP-STM of CoPc on Co(111) at Vbias=0.51 eV, left Spin Down, right Spin Up.

Page 21: Calculation of STM spectra · SP-STM of CoPc on Co(111) at V bias =0.51 eV, left Spin Down, right Spin Up. 21 Fe-Phthalocyanine - Co(111) 22 Magnetic interactions

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Fe-Phthalocyanine - Co(111)Fe-Phthalocyanine - Co(111)

Page 22: Calculation of STM spectra · SP-STM of CoPc on Co(111) at V bias =0.51 eV, left Spin Down, right Spin Up. 21 Fe-Phthalocyanine - Co(111) 22 Magnetic interactions

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Magnetic interactionsMagnetic interactions

Magnetic interactions between an adsorbed molecule and a magnetic surface– Classical dipole-dipole-interaction– Double exchange, anisotropic exchange– In metals: RKKY-exchange– Direct / indirect exchange => Goodenough-Kanamori rules

Page 23: Calculation of STM spectra · SP-STM of CoPc on Co(111) at V bias =0.51 eV, left Spin Down, right Spin Up. 21 Fe-Phthalocyanine - Co(111) 22 Magnetic interactions

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(a) ↑ ↓↑ ↓(b) ↑↓ ↑↓(c) ↑↓ ↑↓