Fig. 5: Mojorana inner skin effects (ISEs) and associated global phase diagrams.
From: Inner skin effects on non-Hermitian topological fractals
a First-order Majorana ISE for the left eigenvectors of \({H}_{{{{{{{{\rm{FO}}}}}}}}}^{{{{{{{{\rm{pair}}}}}}}}}\) [Eq. (6)] when m0 = 0.0, ΔFO = 0.25 and h = (0.5, 0, 0). b Global phase diagram of \({H}_{{{{{{{{\rm{FO}}}}}}}}}^{{{{{{{{\rm{pair}}}}}}}}}\) on the (m0, hx) plane for ΔFO = 1.0, constructed from the non-Hermitian (NH) Bott index BNH. c Second-order Majorana ISE for the left eigenvectors of \({H}_{{{{{{{{\rm{SO}}}}}}}}}^{{{{{{{{\rm{pair}}}}}}}}}\) [Eq. (7)] when m0 = 3.0, g = 0.5, ΔSO = 0.025 and h = (−0.53, −0.53, 0). d Global phase diagram of \({H}_{{{{{{{{\rm{SO}}}}}}}}}^{{{{{{{{\rm{pair}}}}}}}}}\) on the (m0, h) plane, constructed by computing the NH quadrupole moment \({Q}_{xy}^{{{{{{{{\rm{NH}}}}}}}}}\) for neutral Majorana fermions for g = 0.5 and ΔSO = 1.25. Throughout we set t = t0 = 1, R = 8a and r0 = a. Right eigenvectors of \({H}_{{{{{{{{\rm{FO}}}}}}}}}^{{{{{{{{\rm{pair}}}}}}}}}\) (\({H}_{{{{{{{{\rm{SO}}}}}}}}}^{{{{{{{{\rm{pair}}}}}}}}}\)) show inner first-order (second-order) skin effects, but around opposite edges (diagonally opposite corners), as shown in Supplementary Fig. 6.
