Universidad del País Vasco, San Sebastián

A. MugarzaA. NärmannJ. E. Ortega

A. Rubio

University of Wisconsin MadisonF. J. Himpsel

macroscopic “miscut” angle

Universidad Autónoma de MadridA. Mascaraque

E. G. Michel

University of OsnabrückS. Speller

A. Bachmann

0.6 0.4 0.2 0.00.0

0.5

1.0

1.5

2.0

2.5

3.0

3.5

3/d

[111] k

(Å

-1)

4/d 2/d

/d

k|| (Å-1)

L

º

0.6 0.4 0.2 0.00.0

0.5

1.0

1.5

2.0

2.5

3.0

3.5[111]

2/d

/d

k

(Å

-1)

k|| (Å-1)

L

º

Terrace and step modulated surface wave functionprobed by photon-energy-dependent photoemissionJ. E. Ortega et al., Phys. Rev. Lett. 84, 6110 (2000)

Cu(111): pz-like surface state

Topographic scan

7º miscut Cu(111)

STM

Bottom of the surface band

Spectroscopic scan U= - 0,14V

Repulsive barrier at the step

Recomendación

Open versus closed facets in stepped Cu(111)

7º miscut, 500x500Å2

Spectroscopy

Terrace width distribution

9º miscut

Título:Untitled.epsAutor:sspeller@sspeller.physik.Uni-Osnabrueck.DE with xmgrVista previa:No se guardó esta imagen EPSincluyendo una vista previa.Comentario:Esta imagen EPS se imprimirá en unaimpresora PostScript, pero no enotros tipos de impresora.

0.5 1.0 (X)

0

5

80

100

120

kedge

k(E)

En

erg

y (e

V)

k (Å-1)

Envelope function (k(E))

Bloch oscillation (kedge)

Co

n=2, 3ML

n=3, 6ML

Cu

70 80 90 100 110 120 130-1

0

1

2

3

4

5

6

7

8

9

kedge k(E)k(E)

Cu/Co(100)

6 ML (n=3) 3 ML (n=2)

Pho

toem

issi

on I

nten

sity

Photon energy (eV)

-20 -15 -10 -5 0 5

-0.5

0.0

h

22 eV

terrace surface

Emission angle (deg)

-0.5

0.0

13 eV

Ene

rgy

rel.

to E

F

(eV

)

-0.5

0.0

-20 -15 -10 -5 5

9º miscut

10 eV

Dispersion on 100-like stepped Cu(111)

-20 -15 -10 -5 0 5

-0.5

0.0

h

22 eV

Emission angle (deg)

-0.5

0.0

13 eV

-0.5

0.0

-20 -15 -10 0 5 surface terrace

5º miscut

10 eV

[111]

L

d

d

E1

E2

E1

[111]

L

d

E2

2

L

k

k|| k||

kx 0.5

9º miscut 5º miscut

Accessible Photoemission Final

States

[111]

L

d

d

E1

E2

E1

[111]

L

d

E2

2

L

k

k|| k||

kx 0.5

9º miscut 5º miscut

Accessible Photoemission Final

States

-25 -20 -15 -10 -5 0

-0.5

0.0

h

22 eV

Emission angle (deg)

-0.5

0.0

14 eV

Kin

etic

Ene

rgy

(eV

)

-0.5

0.0

-25 -20 -15 -10 -5 0

7º miscut

surface terrace

10 eV

Transition from terrace to step modulation

7º miscut (17 Å wide terraces)

-0.6 -0.4 -0.2 0.00.0

0.5

1.0

1.5

2.0

2.5

3.0

3.5[111]

L

3/L

2 /L

/L

k (

Å-1)

k(Å-1)

6 8 10 12 14 16 18 20

-0,5

0,0

85 eV

Emission angle (deg)

-0,5

0,0

70 eV

Ener

gy re

l. to

Ef (

eV)

-0,5

0,0

60 eV

-0,5

0,0

6 8 10 12 14 16 18 20

20 eV

terrace

11 deg miscut, 111-like steps

Umklapp with step lattice vectors

L

-1.2 -1.0 -0.8 -0.6 -0.4 -0.2 0.00

1

2

3

4

5

6

d

[111]

k

(Å-1

)

k|| (Å-1)

d

d

L

º

EF

EF

Binding Energy (eV)

|| to the steps to the steps

1 0.51 0.5

Motion perpendicular to the step (scattering)

Motion parallel to the step (free motion)

5 deg miscut, (111)-like steps

-0,8 -0,6 -0,4 -0,2 0,0

h = 10 eV

x2

x2

x2

9º

7º

5º

miscut

111-like steps

Energy rel. to E F (eV)

Ph

oto

em

issi

on

In

ten

sity

-0,8 -0,6 -0,4 -0,2 0,0

h = 10 eV

5º

7º

9º

x2

miscut

100-like steps

One-dimensional state step state

1D State: sputtering test

clean

band bottom 15 deg off 19 deg off 22 deg off

band bottom 15 deg off 19 deg off 22 deg off

1 min sputtering || to the steps

band bottom 15 deg off 19 deg off 22 deg off

2 min sputtering to the steps

Clean 7 deg miscut,{111}-like steps

band bottom 15 deg off 19 deg off 22 deg off

LEED[10] spot

Dispersion to the

step: confinement Dispersion || to the

step: free motionFlat surface:

2D Image State

he-

14.5 eV

J. E. Ortega et al., Phys. Rev. B 49, 13859 (1994)

E

x y

Vacuum

(reference level)

2D Image State

1D Image State

(step state)

Charge smoothening at the step(Smoluchowsky dipole)

++++

----

eV

Vicinal Cu(100)[100]

[011]11 Å