Table 2 Maximum allowed number of kink sectors nmax under different scaled dipolar parameter Jd for a given number of lattice sites N.

From: Periodicity staircase in a centrosymmetric Fe/Gd magnetic thin film system

Number of sites

Dipolar Jd

Sector nmax

 

0.00934

4

216

0.00962

6

 

0.01004

8

 

0.00916

4

432

0.00934

8

 

0.00962

12

 

0.00916

8

864

0.00934

17

 

0.00962

25

  1. We introduce a sector n denoting the number of twisted magnetic structures in a achiral lattice. The system relaxes to the ground state with a maximal sector value \({n}_{max}=\left[\frac{N\Delta \varphi }{2\pi }\right]\), where the square bracket implies the flooring function.