Open AccessSpontaneous spin polarization at the edge of the chiral superconducting states in a spin Hall metal
Author(s) -
Tsuyoshi Imazu,
Jun Goryo
Publication year - 2022
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2164/1/012016
Subject(s) - condensed matter physics , superconductivity , physics , ribbon , spin polarization , zero point energy , zigzag , spin (aerodynamics) , square lattice , spin hall effect , quantum mechanics , materials science , electron , geometry , ising model , mathematics , composite material , thermodynamics
We discuss the chiral superconducting state in a square lattice system with an intrinsic spin-orbit coupling causing the spin Hall effect. We estimate the spontaneous spin polarization (local moment) 〈 m i 〉 at the i -th site and its sum M = ∑ i 〈 m i 〉 in ribbons. In the zigzag ribbon, we see 〈 m i 〉 ≠ 0 near the edge. The energy spectra of the chiral edge states show the spin splitting and then we have non-zero M . Moreover, we find that M is enhanced significantly at a topological phase transition point, where the energy gap is closing. We also have non-zero 〈 m i 〉 near the edge of the straight ribbon, but in contrast, there is no spin splitting in the spectra and M vanishes.