Various half-metallic nodal loops in organic Cr₂N₆C₃ monolayers

Abstract

Half-metallic nodal loops robust against spin–orbit couplings are realized in covalent–organic Cr2N6C3 monolayers. Type I, II, and III nodal loops, protected by a mirror symmetry, are found coexisting in the material.

Investigation of nodal line spin-gapless semiconductors using first-principles calculations

“…For example, a type III NR is an excellent foundation for simulating a black hole event horizon. [124][125][126][127] Interestingly, in 2021, Bao et al 128 proposed a 2D organic Cr 2 N 6 C 3 monolayer that has multiple NRs and 100% spin polarization. Fig.…”

“…Interestingly, in 2021, Bao et al 128 proposed a 2D organic Cr 2 N 6 C 3 monolayer that has multiple NRs and 100% spin polarization. Fig.…”

From Topological Nodal-Line Semimetals to Quantum Spin Hall Insulators in Tetragonal SnX Monolayers (X=F, Cl, Br, I)

“…[20][21][22][23][24][25] We now analyze the formation mechanism of the NLSs in the T-SnF monolayer without and with SOC. Compared to the NLS bands formed in 3D materials protected by either the combination of space-inversion and time-reversal symmetries or the mirror symmetry, [58] the reported NLS bands in 2D materials are largely induced by the horizontal mirror symmetry 𝑀𝑧, [21,22,24,56,59] which can ensure the degeneracy of energy bands occurring at any arbitrary 𝑘-points in the loop. As displayed in Fig.…”

Prediction of novel two-dimensional Dirac nodal line semimetals in Al2B2 and AlB4 monolayers

“…Besides the important properties of these systems including non-dispersive Landau energy levels, 1 high-temperature surface superconductivity, 2 and specific long-range Coulomb interactions, 3 one of the most notable characteristics of 2D NLSMs is that their topological features can be directly revealed by angle-resolved photoemission spectroscopy (ARPES) measurements. 4 The rapidly growing family of 2D NLSMs may be classified into magnetic [5][6][7][8][9][10][11] /nonmagnetic 4,[12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31] type-I NLs, type-I NLs coexisting with superconductivity, 24,25,[32][33][34] and magnetic [35][36][37][38][39][40] / nonmagnetic 41,42 type-II NLs. Based on this classification, the coexistence of topological nodal line states and high-temperature superconducting behavior was rarely identified in th...…”

“…The rapidly growing family of 2D NLSMs may be classified into magnetic 5–11 /nonmagnetic 4,12–31 type-I NLs, type-I NLs coexisting with superconductivity, 24,25,32–34 and magnetic 35–40 /nonmagnetic 41,42 type-II NLs. Based on this classification, the coexistence of topological nodal line states and high-temperature superconducting behavior was rarely identified in the theoretically predicted 2D nodal lines and never previously reported in 2D nonmagnetic type-II NLSMs.…”