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Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel
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Page 1: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

Electron Transport throughSingle Atoms and Molecules

J. Kröger, University of Kiel

Page 2: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

Acknowledgements

Experiment

N. Néel, L. Limot, R. Berndt

Theory

Th. Frederiksen, M. Brandbyge (Denmark)K. Palotas, A. Garcia-Lekue, W.A. Hofer (United Kingdom)

Page 3: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

Conductance

A

L

L

a

Page 4: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

G0 2 G0 3 G0

tip

sample

constriction: atom, cluster, molecule

x

y

z

Page 5: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

Conductance quantization in experiments

Van Wees et al., PRL 60, 848 (1988)

Page 6: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

Mechanically controlled break junctions

1 μmVan Ruitenbeek, Agraït, Scheer

Page 7: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

Number of conductance channels

=

Number of valence orbitals

Scheer et al., Nature 394, 154 (1998)

Cuevas et al., PRL 80, 1066 (1998)

Page 8: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

Tip

Sample

Ohnishi et al., Nature 395, 780 (1998)

Vacuum

Page 9: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

UHV, 7 K

Page 10: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

Tip-surface contactLimot, Kröger, Berndt, Garcia-Lekue, Hofer

PRL 94, 126102 (2005)

10-5

10-4

10-3

10-2

10-1

100

G (2

e2 /h)

-6 -5 -4 -3 -2 -1 0

Displacement (Å)

3

4

5

6

789

100

-5.3 -5.2 -5.1

∆ zc

Gc

Cu(111)

Page 11: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

Displacement Δz

Tunnelling Transition Contact

Page 12: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

Tip-adatom contact

10-5

10-4

10-3

10-2

10-1

100

G (2

e2 /h)

-5 -4 -3 -2 -1 0

Displacement (Å)

Cu(111) – Cu

Ag(111)PRL 94, 126102 (2005)

Au(111)New J. Phys. 9, 153 (2007)

3

4

5

6

7

8

9100

-5.2 -5.1 -5.0 -4.9

Page 13: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

Probing the conductanceof individual molecules

Page 14: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

1

2 3

4

Cu(100) – C60

: 4 molecule orientations

Page 15: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

1 42 3

LUMO + 1

Page 16: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

Néel, Kröger, Limot, Frederiksen, Brandbyge, Berndt, PRL 98, 065502 (2007)

tunnelling

transition

contact

1

Tip – Molecule Contact

Page 17: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

Fluctuations in transition regime

Page 18: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

Local heating

Page 19: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

More power – more heating

Teff

≈ 300 K

Teff

≈ 400 K

Teff

≈ 700 K

Page 20: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

Orientation-dependent conductance

Néel, Kröger, Limot, Berndt, Nano Letters, published online

Page 21: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

1 2 3 4

0.26 G0

0.25 G0

0.26 G0

0.17 G0

Page 22: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

Spectroscopy of molecular orbitals

HOMO

LUMO

LUMO+1

Page 23: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

1 2 3 4

Conductingstrongly

Conductingweakly

Overlap of orbitals

Page 24: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

Rotation in a single-molecule contact

Néel, Limot, Kröger, BerndtPRB 77, 125431 (2008)

SFB 677:Function by Switching

Page 25: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.
Page 26: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

Threshold behaviour

Page 27: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

Controlled contact to magnetic atoms

SFB 668: Magnetism from the single atomto the nanostructure

Page 28: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

Kondo effect of magnetic impurities

Page 29: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

tunnelling

contact

Broadening of Kondo resonance

Néel, Kröger, Limot, Berndt, Palotas, Hofer, PRL 98, 016801 (2007)

Cu(100) – Co

Page 30: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

350

300

250

200

150

100

50

T K (K

)

-6 -5 -4 -3 -2 -1 0∆ z (Å)

Increase of Kondo temperature

tunnelling

contact

Page 31: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

-4

-2

0

2

4D

ensi

ty o

f sta

tes

(1/e

V)

-4 -3 -2 -1 0 1 2E - EF (eV)

Page 32: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

Spin-integrated transport

Spin-polarized transport

Page 33: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

Cobalt islands on Cu(111)

Page 34: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

Electron transport through single magnetic atom

Cu(111)

Co atom

Co island

Electrode combinations:

Cu – Co – Cu Cu – Co – Co Ni – Co – Co

Page 35: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

Cu – Co – Cu:

Cu – Co – Co:Ni – Co – Cu: ≈ 0.8 G

0

Ni – Co – Co: ≈ 0.5 G0

≈ 1.0 G0

Néel, Kröger, Berndt, Brandbyge, in preparation

Page 36: Electron Transport through Single Atoms and Molecules · Electron Transport through Single Atoms and Molecules J. Kröger, University of Kiel. ... K. Palotas, A. Garcia-Lekue, W.A.

Summary

Kröger, Néel, Limot, J. Phys.: Condens. Matter, at press

Outlook• Extension to other molecules

• Time-resolved fluctuations

• Vibration spectroscopy

• Spin-polarized transport


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