306
11 Spintronics
-39800
-39750
-39700
-39650
-39600
-39550
-39500
-39450
0
2
4
6
8
10
Frequency (GHz)
H (kgauss)
Spectrum for Exchange Interaction
1
2
3
4
5
6
7
8
9
10
11
Fig. 11.9 Variation of A-section spectrum of Figs. 11.7 and 11.8 as a function of the magnetic
field
The transition-matrix elements, S x ij , S y ij , S z ij , with i < j, for the lowest eleven
energy levels (the ‘A-spectrum’) are shown next for H 0 = 1 kGauss. The S y ij are
complex–in this case pure imaginaries.
h = 1.000000000000000
transx
0.0340 2.3641 0.0000 0.0000 -0.3188 -0.3458 0.0000 0.0000 0.0104 0.0083
0.0000 2.2114 -0.2267 0.0000 0.0000 -0.0881 0.0708 0.0000 0.0000
0.4898 3.4479 0.0000 0.0000 -0.2023 -0.1794 0.0000 0.0000
0.0000 2.3182 -1.2585 0.0000 0.0000 -0.0475 0.0315
1.5273 2.5256 0.0000 0.0000 -0.0396 -0.0480
0.0000 2.3001 -0.2578 0.0000 0.0000
0.2658 2.2929 0.0000 0.0000
0.0000 1.6855 -0.0044
0.0044 1.6823
0.0000
transy
0.0000 4.8024 0.0000 -0.0927 0.0000 0.0000 0.0000 0.0000 0.0000 -0.3642
0.0000 0.2450 0.0000 0.0000 0.0000 0.0000 0.0000 0.0096 0.0000 -0.0077
0.0000 0.0000 0.0000 0.1411 0.0000 0.8497 0.0000 0.0000 0.0000 0.0000
0.0000 -0.0777 0.0000 -0.0633 0.0000 0.0000 0.0000 0.0000
0.0000 3.2101 0.0000 -0.5124 0.0000 0.0000 0.0000 0.0000 0.0000 -0.1786
0.0000 0.1571 0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 1.3829 0.0000 1.2520 0.0000 0.0000 0.0000 0.0000
0.0000 -0.0435 0.0000 -0.0289