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netization [ 14 ], DC transport [ 12 ], and superconducting gap measurements [ 13 ].
Macroscopic coherence is obtained from the first two methods (Fig. 4.24 ), whereas
the gap measurements give the local character of the superconductivity (Fig. 4.25 ).
Ozer et al. [ 14 , 15 ] employed the superconducting quantum interference device
(SQUID) to measure the superconductivity. This method eliminates the electrical
contact issues because the measurements are performed inductively. On the other
7
18
11
5
d (ML)
7
6
5
0.00
0.02
0.04
0.06
1/d ( Å 1 )
Fig. 4.24 T C of Pb(111) films as a function of inverse film thickness. Filled dots show the magnetic
measurements [ 14 ]; open circles correspond to transport measurements [ 12 ]
(a)
1.4
1.2
(b)
1.0
6.53K
6.24K
6.03K
6.400
0.8
6.355
0.6
5.72K
2 x stdev
6.300
5.29K
0.4
6.255
6.200
1.2
6.155
1.0
6.100
0.8
6.055
0.6
6.000
5.955
0.4
4
5
6
7
8
9
10
11
12
13
14
15
16
1.2
Thickness (ML)
1.0
0.8
0.6
0.4
-8
-6
-4
-2
0
2
4
6
8
Sample bias (mV)
Fig. 4.25 T C measurements from the opening of the superconducting gaps in scanning tunneling
spectroscopy. ( a ) Gap of 5, 6, and 7ML thick Pb films at various temperatures. ( b ) T C s obtained
from the gap measurements in panel ( a ). Reproduced from [ 13 ]
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