Table 1 The winding numbers associated with the two chiral symmetries: (a) the case of two Majorana chains; (b) the case of three Majorana chains with \(|{t}_{1}^{^{\prime\prime} }| < |{t}_{2}^{^{\prime\prime} }|\) [the case with \(|{t}_{1}^{^{\prime\prime} }| > |{t}_{2}^{^{\prime\prime} }|\) is the same with (a)].

From: Topological superconductors from one-dimensional periodically modulated Majorana chains

(a)

 

|t 1| < |t 2|

|t 1| > |t 2|

 \(|{t}_{1}^{^{\prime} }| < |{t}_{2}^{^{\prime} }|\)

N = 0, N′ = 2

N = −1, N′ = 1

 \(|{t}_{1}^{^{\prime} }| > |{t}_{2}^{^{\prime} }|\)

N = 1, N′ = 1

N = 0, N′ = 0

(b)

 

|t 1| < |t 2|

|t 1| > |t 2|

 \(|{t}_{1}^{^{\prime} }| < |{t}_{2}^{^{\prime} }|\)

N = 1, N′ = 3

N = 0, N′ = 2

 \(|{t}_{1}^{^{\prime} }| > |{t}_{2}^{^{\prime} }|\)

N = 2, N′ = 2

N = 1, N′ = 1