V. Pomjakushin, ECM32, Superspace magnetic structure and topological charges in Weyl semimetal CeAlGe -5
0 5 10 15 20
-5 0 5 10 15 20
y/a
x/a
(M x ,M y ) components in the xy plane, M z -component by color
-0.5 -0.4 -0.3 -0.2 -0.1 0 0.1 0.2 0.3 0.4 0.5
10
CeAlGe: Maximal symmetry full star superspace 3D+2 magnetic group I4_1md1’(a00)000s(0a0)0s0s
View along the z-(c-)axis of the magnetic structure of CeAlGe.
The x- and y-axes are in units of in-plane lattice parameter a.
Parent Space Group: 109 I4_1md C4v-11, Ce1 4a (0,0,z), z=-0.41000 single Ce site
IR: mSM2 , k-active= (g,0,0),(0,g,0)
P (g,0;g,0) 109.2.67.4.m240.? I4_1md1'(a,0,0)000s(0,a,0)0s0s
experiment: (m1,m2,m3,m4 ) = (0.44(1), 1.02(1), −0.21(5), 0.29(7)) μ B . All Ce are equivalent and their moments
are given symmetrically by 4 parameters
k=2 𝜋 |k 1 |=2 𝜋 |k 2 |=2 𝜋 g
~
k1=[g,0,0], SM point of BZ, g=0.06503(22): four arms
M Ce1 = m 1 sin(˜ kx)e x + m 2 sin(˜ ky)e y + ⇣
m 3 cos(˜ kx) + m 4 cos(˜ ky) ⌘ e z
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M Ce2 = m 2 sin(˜ kx)e x + m 1 sin(˜ ky)e y + ⇣
m 4 cos(˜ kx) + m 3 cos(˜ ky) ⌘ e z
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Ce1(0,
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2 , z + 1 4 )
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¯
y, x + 1
2 , z + 1 4
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