Electronic structure of antiferromagnetic Dirac semimetal candidate GdIn3

Magnetic properties and critical behaviors of the nodal-line semimetal candidate ErIn3

“…Note added. Prior theoretical studies suggested that ReIn 3 series are topological material candidates [9,10,12]. Figure S2 plots the bulk band structures at the nonmagnetic state, from which ErIn 3 is identified as a nodal-line semimetal candidate.…”

“…Yin et al revealed that in GdIn 3 two pairs of Dirac fermions occur around ∼30 meV above the Fermi level and ∼1. 5 eV below the Fermi level respectively at the paramagnetic (PM) state, whereas a pair of Dirac fermions lie along the Γ-Z direction at the AFM state (below 45 K) [12]. Note that in Dirac semimetals the timereversal (T) and inversion (I) symmetries are generally preserved, and breaking one of them will split the Dirac fermions therein into Weyl fermions.…”

“…Note that in Dirac semimetals the timereversal (T) and inversion (I) symmetries are generally preserved, and breaking one of them will split the Dirac fermions therein into Weyl fermions. Unexpectedly, Yin et al identified GdIn 3 as a magnetic Dirac semimetal instead of a Weyl semimetal candidate [12]. It happens that in CuMnAs there is a similar case [13,14] where its magnetic Dirac semimetal state is stabilized by a composite symmetry of T and I even if both of them are broken alone [12,15].…”

“…Unexpectedly, Yin et al identified GdIn 3 as a magnetic Dirac semimetal instead of a Weyl semimetal candidate [12]. It happens that in CuMnAs there is a similar case [13,14] where its magnetic Dirac semimetal state is stabilized by a composite symmetry of T and I even if both of them are broken alone [12,15]. Such a symmetry restriction can be further released in the type-IV magnetic space group where T is violated but I and the nonsymmorphic TRS T = Tτ (the combination of T and a fractional translation operator τ that connects the black and white Bravais lattices) are kept [9,16].…”

“…Such a symmetry restriction can be further released in the type-IV magnetic space group where T is violated but I and the nonsymmorphic TRS T = Tτ (the combination of T and a fractional translation operator τ that connects the black and white Bravais lattices) are kept [9,16]. For GdIn 3 , its magnetic moments align in a C-type AFM configuration at low temperature (T) [17], and the magnetic unit cell adopts a tetragonal lattice with the type IV magnetic space group Pc4/mbm [12]. Therefore, magnetic Dirac semimetal features emerge in this compound.…”