Itinerant Spin Dynamics in Structures of ... - Jacobs University

48 Chapter 3: WL/WAL Crossover and Spin Relaxation in Confined Systems
(a)
(b)
5
1.6
4
1.4
1.2
E/DQ 2 SO
3
2
E/DQ 2 SO
1.0
0.8
E {t0,0}
E {t−,0}
1
0.6
0.4
0
0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4
K x
0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4
K x
(c)
(d)
1.0
1.0
0.9
0.9
0.8
0.8
E/DQ 2 SO
0.7
0.6
E/DQ 2 SO
0.7
0.6
0.5
0.5
0.4
0.4
0.3
0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4
K x
0.3
0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4
K x
Figure 3.7: Dispersion of the triplet Cooperon modes for different dimensionless wire units
Q SO W: (a) Q SO W = 2, (b) Q SO W = 8, (c) Q SO W = 12, (d) Q SO W = 30, plotted as
function of K x = Q x /Q SO . For Q SO W ≫ 3, E {t0,0} and E {t−,0} evolve into degenerate
branches for large K x . (For Q SO W = 30, not all high-energy branches are shown.)