The stability of Majorana fermion in correlated quantum wire
Zhang De-Ping, Tian Guang-Shan†
       
The RG flow trajectories of parameters in the case of non-half-filling. The phase diagram of the quantum wire consists of a Luttinger liquid phase and a topological superconducting phase, as obtained from Eq. ( 20 ). The origin point stands for ( K = 1/2, Δ = 0). The blue line represents the attracting fixed points of Δ = 0, K < 1/2, which control the gapless Tomonaga–Luttinger liquid phase. The topological superconducting phase is characterized by the points, which flow eventually to Δ = ∞ or Δ = −∞.