Table 1: Numerical data of the weak-field Hall-geometry factor of devices with a single mirror symmetry. Values are computed for λd = 3n/4 with integer n = –6, –4, –2,...,6 and λed / λd = 3m/5 with integer m = -13, –11, -9,...,–1. The six rightmost columns specify three possible layouts for circular devices of Fig. 4a, which give identical . These three layouts are defined by α3 = 15o, 90o, 165o according to (19c,d).
|
|
|
|
|
|
|
α3 = 15° |
α3 = 90° |
α3 = 165° |
n |
m |
λd |
λed |
λed/
λd |
GH0(3C) |
GH0(3C)/sqrt(λedλd) |
α1 [°] |
α2 [°] |
α1 [°] |
α2 [°] |
α1 [°] |
α2 [°] |
-6 |
-13 |
0.1925 |
0.0111 |
0.0575 |
0.00213 |
0.046138176862 |
1.121E-57 |
14.99999 |
8.512E-57 |
89.99996 |
6.465E-56 |
164.9999 |
-4 |
-13 |
0.3333 |
0.0192 |
0.0575 |
0.00639 |
0.079903222319 |
4.145E-33 |
14.99043 |
3.149E-32 |
89.96301 |
2.392E-31 |
164.9904 |
-2 |
-13 |
0.5774 |
0.0332 |
0.0575 |
0.01902 |
0.137442192251 |
6.232E-19 |
14.49442 |
4.734E-18 |
88.01405 |
3.596E-17 |
164.4772 |
0 |
-13 |
1.0000 |
0.0575 |
0.0575 |
0.05346 |
0.222973608073 |
8.156E-11 |
10.63694 |
6.195E-10 |
70.52878 |
4.706E-09 |
158.9063 |
2 |
-13 |
1.7321 |
0.0996 |
0.0575 |
0.12790 |
0.308008961734 |
2.27E-06 |
3.903103 |
3.149E-32 |
29.02164 |
0.000131 |
126.0782 |
4 |
-13 |
3.0000 |
0.1724 |
0.0575 |
0.25100 |
0.348986748377 |
0.00024 |
0.541918 |
0.001822 |
4.11454 |
0.013837 |
30.52348 |
6 |
-13 |
5.1962 |
0.2987 |
0.0575 |
0.43819 |
0.351752517952 |
0.000358 |
0.017218 |
0.002719 |
0.130783 |
0.02065 |
0.993374 |
-6 |
-11 |
0.1925 |
0.0172 |
0.0892 |
0.00330 |
0.057475754415 |
9.573E-36 |
14.99999 |
7.272E-35 |
89.99996 |
5.523E-34 |
164.9999 |
-4 |
-11 |
0.3333 |
0.0297 |
0.0892 |
0.00991 |
0.099537916218 |
1.905E-20 |
14.99043 |
1.447E-19 |
89.96301 |
1.099E-18 |
164.9904 |
-2 |
-11 |
0.5774 |
0.0515 |
0.0892 |
0.02952 |
0.171215991296 |
1.274E-11 |
14.49442 |
9.677E-11 |
88.01405 |
7.350E-10 |
164.4772 |
0 |
-11 |
1.0000 |
0.0892 |
0.0892 |
0.08296 |
0.277765096227 |
1.356E-06 |
10.63694 |
1.03E-05 |
70.52878 |
7.823E-05 |
158.9063 |
2 |
-11 |
1.7321 |
0.1545 |
0.0892 |
0.19846 |
0.383658608695 |
0.000621 |
3.903103 |
0.004715 |
29.02164 |
0.035812 |
126.0782 |
4 |
-11 |
3.0000 |
0.2676 |
0.0892 |
0.38717 |
0.432124790103 |
0.006121 |
0.541953 |
0.046494 |
4.114801 |
0.353153 |
30.52533 |
6 |
-11 |
5.1962 |
0.4635 |
0.0892 |
0.63874 |
0.411599637973 |
0.002333 |
0.017372 |
0.017724 |
0.131951 |
0.134627 |
1.002241 |
-6 |
-9 |
0.1925 |
0.0266 |
0.1384 |
0.00513 |
0.071599325552 |
1.299E-21 |
14.99999 |
9.868E-21 |
89.99996 |
7.495E-20 |
164.9999 |
-4 |
-9 |
0.3333 |
0.0461 |
0.1384 |
0.01538 |
0.123997461897 |
2.749E-12 |
14.99043 |
2.088E-11 |
89.96301 |
1.586E-10 |
164.9904 |
-2 |
-9 |
0.5774 |
0.0799 |
0.1384 |
0.04581 |
0.213289050026 |
6.547E-07 |
14.49442 |
4.973E-06 |
88.01405 |
3.777E-05 |
164.4772 |
0 |
-9 |
1.0000 |
0.1384 |
0.1384 |
0.12873 |
0.346003571112 |
0.000711 |
10.63694 |
0.005403 |
70.52878 |
0.041039 |
158.9063 |
2 |
-9 |
1.7321 |
0.2397 |
0.1384 |
0.30688 |
0.476232646606 |
0.023077 |
3.903166 |
0.175286 |
29.02209 |
1.33137 |
126.079 |
4 |
-9 |
3.0000 |
0.4152 |
0.1384 |
0.57462 |
0.514836291875 |
0.049467 |
0.544168 |
0.375738 |
4.131608 |
2.853432 |
30.64427 |
6 |
-9 |
5.1962 |
0.7192 |
0.1384 |
0.83167 |
0.430207154882 |
0.008164 |
0.019052 |
0.062009 |
0.144714 |
0.471004 |
1.099176 |
-6 |
-7 |
0.1925 |
0.0413 |
0.2148 |
0.00796 |
0.089193495096 |
1.662E-12 |
14.99999 |
1.262E-11 |
89.99996 |
9.588E-11 |
164.9999 |
-4 |
-7 |
0.3333 |
0.0716 |
0.2148 |
0.02386 |
0.154467470585 |
4.979E-07 |
14.99043 |
3.782E-06 |
89.96301 |
2.873E-05 |
164.9904 |
-2 |
-7 |
0.5774 |
0.1240 |
0.2148 |
0.07109 |
0.265690381411 |
0.000711 |
14.49442 |
0.005398 |
88.01405 |
0.041003 |
164.4772 |
0 |
-7 |
1.0000 |
0.2148 |
0.2148 |
0.19922 |
0.429848243492 |
0.040243 |
10.63698 |
0.305675 |
70.52897 |
2.321522 |
158.9064 |
2 |
-7 |
1.7321 |
0.3720 |
0.2148 |
0.46018 |
0.573257224937 |
0.237373 |
3.909821 |
1.802878 |
29.06952 |
13.63069 |
126.1579 |
4 |
-7 |
3.0000 |
0.6444 |
0.2148 |
0.76991 |
0.553740132139 |
0.195452 |
0.576044 |
1.48452 |
4.373398 |
11.24049 |
32.34786 |
6 |
-7 |
5.1962 |
1.1161 |
0.2148 |
0.95006 |
0.394508413112 |
0.021913 |
0.027866 |
0.166445 |
0.211662 |
1.264228 |
1.60763 |
-6 |
-5 |
0.1925 |
0.0642 |
0.3333 |
0.01235 |
0.111111089124 |
1.228E-06 |
14.99999 |
9.325E-06 |
89.99996 |
7.083E-05 |
164.9999 |
-5 |
-5 |
0.2533 |
0.0844 |
0.3333 |
0.02138 |
0.146228986772 |
6.190E-05 |
14.99951 |
0.000470 |
89.99812 |
0.003572 |
164.9995 |
-4 |
-5 |
0.3333 |
0.1111 |
0.3333 |
0.03703 |
0.192412323768 |
0.001217 |
14.99043 |
0.009245 |
89.96301 |
0.070219 |
164.9904 |
-3 |
-5 |
0.4387 |
0.1462 |
0.3333 |
0.06403 |
0.252800588287 |
0.011671 |
14.90821 |
0.088654 |
89.64428 |
0.673385 |
164.9077 |
-2 |
-5 |
0.5774 |
0.1925 |
0.3333 |
0.10994 |
0.329820919556 |
0.064244 |
14.49443 |
0.487982 |
88.01409 |
3.705323 |
164.4772 |
-1 |
-5 |
0.7598 |
0.2533 |
0.3333 |
0.18496 |
0.421621077962 |
0.226193 |
13.21366 |
1.71798 |
82.68111 |
12.99434 |
162.9785 |
0 |
-5 |
1.0000 |
0.3333 |
0.3333 |
0.29843 |
0.516893143951 |
0.542268 |
10.64377 |
4.117194 |
70.56366 |
30.54227 |
158.9196 |
1 |
-5 |
1.3161 |
0.4387 |
0.3333 |
0.45035 |
0.592688118923 |
0.911315 |
7.207781 |
6.913866 |
51.13311 |
49.29564 |
149.227 |
2 |
-5 |
1.7321 |
0.5774 |
0.3333 |
0.62216 |
0.622157410792 |
1.083113 |
4.040677 |
8.213211 |
30 |
57.21174 |
127.6671 |
3 |
-5 |
2.2795 |
0.7598 |
0.3333 |
0.78002 |
0.592688118923 |
0.911315 |
1.904778 |
6.913866 |
14.39338 |
49.29564 |
87.60929 |
4 |
-5 |
3.0000 |
1.0000 |
0.3333 |
0.89529 |
0.516893143951 |
0.542268 |
0.766382 |
4.117194 |
5.816339 |
30.54227 |
42.20023 |
5 |
-5 |
3.9482 |
1.3161 |
0.3333 |
0.96109 |
0.421621077962 |
0.226193 |
0.257103 |
1.71798 |
1.952703 |
12.99434 |
14.75166 |
6 |
-5 |
5.1962 |
1.7321 |
0.3333 |
0.98946 |
0.329820919556 |
0.064244 |
0.066511 |
0.487982 |
0.505196 |
3.705323 |
3.835934 |
-6 |
-3 |
0.1925 |
0.0996 |
0.5173 |
0.01915 |
0.138359313760 |
0.007425 |
14.99999 |
0.056396 |
89.99996 |
0.428372 |
164.9999 |
-4 |
-3 |
0.3333 |
0.1724 |
0.5173 |
0.05689 |
0.237317883937 |
0.18562 |
14.99043 |
1.409851 |
89.96302 |
10.67841 |
164.9904 |
-2 |
-3 |
0.5774 |
0.2987 |
0.5173 |
0.16018 |
0.385753133336 |
1.170585 |
14.49752 |
8.874004 |
88.02643 |
61.02986 |
164.4805 |
0 |
-3 |
1.0000 |
0.5173 |
0.5173 |
0.38597 |
0.536648705617 |
2.922599 |
10.83363 |
21.93237 |
71.52732 |
111.6130 |
159.2831 |
2 |
-3 |
1.7321 |
0.8960 |
0.5173 |
0.69177 |
0.555310687519 |
3.174753 |
4.962246 |
23.77375 |
36.43591 |
115.9525 |
136.3971 |
4 |
-3 |
3.0000 |
1.5518 |
0.5173 |
0.90432 |
0.419120819953 |
1.504424 |
1.598118 |
11.39023 |
12.09458 |
74.28809 |
77.64625 |
6 |
-3 |
5.1962 |
2.6879 |
0.5173 |
0.98389 |
0.263268847235 |
0.29315 |
0.293655 |
2.226421 |
2.230254 |
16.79224 |
16.82074 |
-6 |
-1 |
0.1925 |
0.1545 |
0.8027 |
0.02648 |
0.153581260382 |
2.029927 |
14.99999 |
15.32836 |
89.99996 |
91.25521 |
164.9999 |
-4 |
-1 |
0.3333 |
0.2676 |
0.8027 |
0.06621 |
0.221710876930 |
4.734824 |
14.99137 |
34.86758 |
89.96666 |
134.5095 |
164.9914 |
-2 |
-1 |
0.5774 |
0.4635 |
0.8027 |
0.15145 |
0.292786446699 |
7.620652 |
14.62554 |
53.66827 |
88.53542 |
150.8256 |
164.6162 |
0 |
-1 |
1.0000 |
0.8027 |
0.8027 |
0.30330 |
0.338521575505 |
9.238971 |
12.46707 |
63.0782 |
79.36238 |
155.7861 |
161.9667 |
2 |
-1 |
1.7321 |
1.3904 |
0.8027 |
0.49194 |
0.317002657365 |
8.508207 |
9.093242 |
58.93368 |
62.26547 |
153.7672 |
155.4081 |
4 |
-1 |
3.0000 |
2.4082 |
0.8027 |
0.67346 |
0.250554687424 |
5.939231 |
5.960005 |
43.01261 |
43.1495 |
143.0499 |
143.1702 |
6 |
-1 |
5.1962 |
4.1712 |
0.8027 |
0.83725 |
0.179839879609 |
3.01471 |
3.014757 |
22.60637 |
22.60672 |
113.2569 |
113.2578 |