Nodal-line superconductor PbTaSe₂

PbTaSe₂
van der Waals crystal superconductor

A superconductor whose normal state is topological. Inserting a lead layer into TaSe2 breaks inversion symmetry, and the lead sheet contributes a Dirac cone that spin–orbit coupling gaps by about 0.8 eV. The result carries topological nodal lines – closed loops in momentum space where bands touch, protected by a mirror symmetry – and then superconducts at 3.7 K, which is why it keeps being examined as a place where topology and superconductivity coexist in one crystal.

Key properties

  • Type-II BCS superconductor with a transition at 3.72 K and a Ginzburg–Landau parameter of about 17
  • Electron–phonon coupling constant of ~0.74, so the pairing itself looks conventional
  • The lead layer supplies a bulk Dirac cone at K, similar to graphene but with a 0.8 eV gap opened by spin–orbit coupling
  • Topological nodal lines protected by reflection symmetry and carrying an integer topological invariant, confirmed by photoemission
  • Broken inversion symmetry also produces large Rashba splitting

How it is made

  • Single crystals by vapour transport or flux growth from the elements
  • Mechanical exfoliation into flakes for transport
  • Photoemission on fresh cleaves to map the nodal lines

Uses, and how close they are

  • Model system for topological superconductivity and Majorana searcheslab

Readiness runs lab → prototype → pilot → deployed.

Open problems

  1. Does the superconducting state inherit anything topological from the nodal lines, or is it conventional pairing in a topological metal?
  2. Are the zero-bias features reported in vortex cores Majorana modes, or ordinary bound states?
  3. How do the nodal lines evolve as crystals are thinned to a few layers?

Going deeper

Short notes for specialists. Choose a lens in the header and yours comes first.

For theoreticians · your lens

A clean test of symmetry bookkeeping: the lead layer removes inversion, mirror symmetry protects the nodal lines, and strong spin–orbit coupling sets their size. Because the pairing looks conventional, any topological superconductivity would come from the normal-state topology rather than from an exotic order parameter, which makes the surface states and their response to disorder the interesting quantity to compute.

For experimentalists · your lens

Report the residual resistivity ratio and the transition width with any claim about vortex-core states, since disorder generates bound states that look like Majorana signatures. Photoemission needs fresh cleaves and careful alignment, because the nodal lines live on specific mirror planes.

For engineers · your lens

No application role: a 3.7 K superconductor studied for physics rather than for devices.

In the research tracks

Key references

  1. Noncentrosymmetric superconductor with a bulk three-dimensional Dirac cone gapped by strong spin-orbit couplingAli et al. · Physical Review B 89, 020505 (2014)cited by 170doi:10.1103/PhysRevB.89.020505
  2. Topological nodal-line fermions in spin-orbit metal PbTaSe2Bian et al. · Nature Communications 7, 10556 (2016)cited by 860doi:10.1038/ncomms10556
  3. Topological Dirac surface states and superconducting pairing correlations in PbTaSe2Chang et al. · Physical Review B 93, 245130 (2016)cited by 105doi:10.1103/PhysRevB.93.245130
  4. Superconducting topological surface states in the noncentrosymmetric bulk superconductor PbTaSe2Guan et al. · Science Advances 2, e1600894 (2016)cited by 187doi:10.1126/sciadv.1600894