Table 1 Symmetry, magnetic ground state and, for the Weyl node closest to the Fermi energy, position, energy (ε), degeneracy (Deg) and band index of the lower branch in the band crossing (N is the number of valence electrons).

From: Tunable chirality of noncentrosymmetric magnetic Weyl semimetals in rare-earth carbides

Compound

Symmetry

Magnetic ground state

Weyl nodes

AHC

 

Class

\({{{\mathcal{I}}}}\)

Θ

Expt.

Theory

Position

ε

Deg

Band

 
     

OC

+U

(2π/a, 2π/b, 2π/c)

(meV)

  

−1 cm−1)

LuCoC2

I

+

NM43

NM

NM

(0.362, 0.163, 0)

90

4

N − 1

0

YCoC2

I

+

NM57

NM

NM

(0.366, 0.173, 0)

61

4

N − 1

0

GdCoC2

III

TC = 15K36

FM

FM

(0.347, 0.206, 0.171)

34

4

N − 1

15

GdNiC2

III

TN = 20K34,42

FM

FM

(−1/2, 0, 0.487)

108

2

N

−21

GdRuC2

II

+

TC = 45(3)K33

FM

FM

(0.074, 0.178, 0)

15

4

N − 2

−300

NdRhC2

III

θCW ~ 0K31,32

FM

FM

(0.393, 0.233, −0.199)

43

4

N

35

PrRhC2

III

θCW ~ −13K31,32

AFM

FM

(0, 0.158, −0.221)

9

4

N − 1

−13

  1. Weyl nodes and the anomalous Hall conductivity (AHC) correspond to GGA with open-core (OC) approximation for occupied 4f states. For classes II and III, m[001] was applied. From top to bottom the compounds are presented in order of increasing unit cell volume.