The table lists the energy and magnetization for both free ends and periodic boundary conditions.
State | Energy (FE) | Energy (PBC) | Magnetization |
\( 1= \uparrow\uparrow \) | \( -J \) | \( -2J \) | 2 |
\( 2=\uparrow\downarrow \) | \( J \) | \( 2J \) | 0 |
$ 3=\downarrow\uparrow$ | \( J \) | \( 2J \) | 0 |
$ 4=\downarrow\downarrow$ | \( -J \) | \( -2J \) | -2 |