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Observation of dimension-crossover of a tunable 1D Dirac fermion in topological semimetal NbSi x Te 2

Condensed matter systems in low dimensions exhibit emergent physics that does not exist in three dimensions. When electrons are confined to one dimension (1D), some significant electronic states appear, such as charge density wave, spin-charge separations, and Su-Schrieffer-Heeger (SSH) topological state. However, a clear understanding of how the 1D electronic properties connects with topology is currently lacking. Here we systematically investigated the characteristic 1D Dirac fermion electronic structure originated from the metallic NbTe 2 chains on the surface of the composition-tunable layered compound NbSi x Te 2 (x = 0.40 and 0.43) using angle-resolved photoemission spectroscopy. We found the Dirac fermion forms a Dirac nodal line structure protected by the combined $\widetilde {M_y}$ and time-reversal symmetry T and proves the NbSi x Te2 system as a topological semimetal, in consistent with the ab-initio calculations. As x decreases, the interaction between adjacent NbTe 2 chains increases and Dirac fermion goes through a dimension-crossover from 1D to 2D, as evidenced by the variation of its Fermi surface and Fermi velocity across the Brillouin zone in consistence with a Dirac SSH model. Our findings demonstrate a tunable 1D Dirac electron system, which offers a versatile platform for the exploration of intriguing 1D physics and device applications.

36 MATERIALS SCIENCE↗

Materials Data on NbSI by Materials Project

NbSI crystallizes in the cubic F-43m space group. The structure is three-dimensional. Nb3+ is bonded to three equivalent S2- and three equivalent I1- atoms to form distorted edge-sharing NbS3I3 octahedra. All Nb–S bond lengths are 2.43 Å. All Nb–I bond lengths are 3.03 Å. S2- is bonded in a 3-coordinate geometry to three equivalent Nb3+ atoms. I1- is bonded in a distorted trigonal non-coplanar geometry to three equivalent Nb3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Sc2(NbSi)3 by Materials Project

Sc2(NbSi)3 crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are three inequivalent Sc3+ sites. In the first Sc3+ site, Sc3+ is bonded to five Si4- atoms to form distorted ScSi5 trigonal bipyramids that share corners with eight equivalent NbSi6 octahedra, corners with eight ScSi5 trigonal bipyramids, edges with two equivalent ScSi5 trigonal bipyramids, edges with four equivalent NbSi5 trigonal bipyramids, and faces with four equivalent NbSi6 octahedra. The corner-sharing octahedra tilt angles range from 42–55°. There are a spread of Sc–Si bond distances ranging from 2.68–2.90 Å. In the second Sc3+ site, Sc3+ is bonded to five Si4- atoms to form distorted ScSi5 trigonal bipyramids that share corners with eight equivalent NbSi6 octahedra, corners with eight ScSi5 trigonal bipyramids, edges with two equivalent ScSi5 trigonal bipyramids, edges with four equivalent NbSi5 trigonal bipyramids, and faces with four equivalent NbSi6 octahedra. The corner-sharing octahedra tilt angles range from 42–55°. There are a spread of Sc–Si bond distances ranging from 2.67–2.90 Å. In the third Sc3+ site, Sc3+ is bonded to five Si4- atoms to form distorted ScSi5 trigonal bipyramids that share corners with eight equivalent NbSi6 octahedra, corners with two equivalent ScSi5 trigonal bipyramids, corners with six equivalent NbSi5 trigonal bipyramids, edges with six ScSi5 trigonal bipyramids, and faces with four equivalent NbSi6 octahedra. The corner-sharing octahedra tilt angles range from 41–56°. There are a spread of Sc–Si bond distances ranging from 2.68–2.91 Å. There are two inequivalent Nb2+ sites. In the first Nb2+ site, Nb2+ is bonded to five Si4- atoms to form distorted NbSi5 trigonal bipyramids that share corners with eight equivalent NbSi6 octahedra, corners with three equivalent ScSi5 trigonal bipyramids, corners with five equivalent NbSi5 trigonal bipyramids, edges with six ScSi5 trigonal bipyramids, and faces with four equivalent NbSi6 octahedra. The corner-sharing octahedra tilt angles range from 39–56°. There are a spread of Nb–Si bond distances ranging from 2.66–2.87 Å. In the second Nb2+ site, Nb2+ is bonded to six Si4- atoms to form distorted NbSi6 octahedra that share corners with six equivalent NbSi6 octahedra, corners with four equivalent NbSi5 trigonal bipyramids, corners with eight ScSi5 trigonal bipyramids, edges with three equivalent NbSi6 octahedra, faces with two equivalent NbSi6 octahedra, faces with two equivalent NbSi5 trigonal bipyramids, and faces with four ScSi5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 34–36°. There are a spread of Nb–Si bond distances ranging from 2.72–2.76 Å. There are four inequivalent Si4- sites. In the first Si4- site, Si4- is bonded in a 9-coordinate geometry to five Sc3+ and four equivalent Nb2+ atoms. In the second Si4- site, Si4- is bonded in a 9-coordinate geometry to three Sc3+ and six Nb2+ atoms. In the third Si4- site, Si4- is bonded in a 9-coordinate geometry to three Sc3+ and six Nb2+ atoms. In the fourth Si4- site, Si4- is bonded in a 9-coordinate geometry to three Sc3+ and six Nb2+ atoms.

36 MATERIALS SCIENCE↗

Fulde-Ferrell-Larkin-Ovchinnikov pairing induced by a Weyl nodal line in an Ising superconductor with a high critical field

Superconductivity and electron topology are two quantum phenomena that have attracted much interest, but no causal relationship between them has been reported because superconductivity is a many-body effect due to electron-electron interaction, while electron topology is a single-particle manifestation of electron states. In this work, we demonstrate that electron topology can induce Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) pairing in Ising Bardeen-Cooper-Schrieffer (IBCS) superconductors. Specifically, we predict that the nonmagnetic metals of the MA 2 Z 4 family, including α 1 -TaSi 2 P 4 , α 1 -TaSi 2 N 4 , α 2 -TaGe 2 P 4 , α 1 -NbSi 2 P 4 , and α 2 -NbGe 2 P 4 monolayers, are all IBCS superconductors with a transition temperature ranging from a few to tens of degrees Kelvin. The intrinsic IBCS pairing alone will enhance the in-plane critical field B c to ~20–60 times the Pauli limit B p , and the extrinsic FFLO pairing evoked by topological Weyl nodal lines under a magnetic field can further double the B c /B p ratio. Our findings not only enrich the fundamental relationship between superconductivity and electron topology, but they also yield an effective approach to enhance the robustness of superconductivity.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗