µSR study in superconducting state of nonsymmorphic compounds TIrGe (T = Ti, Zr, and Hf)

The search for novel topological phases, including topological semimetals (TSM) and topological superconductivity, has focused a significant amount of attention on the nonsymmorphic space group symmetry, which includes screw axis and glide plane symmetries. Recently, time-reversal symmetry breaking (TRSB) has been found in equiatomic ternary compounds, with Dirac point degeneracy protected by its nonsymmorphic crystal structure symmetry. The interplay of non-trivial band structure and strong spin-orbital coupling is believed to be responsible for the unconventional superconducting ground state in these compounds; however, the exact pairing mechanism is unknown. In this proposal, we propose to investigate the superconducting ground state of a new family of nonsymmorphic compounds.