Same as I defined above its a Heisenberg spin systems with
[tex]
H_{xeven}
[/itex] and
[tex]
H_{xodd}
[/itex]
are both Heisenberg spin systems with spins defined for even and odd bonds. Here when I say bond I mean the distance between two atomic points in lattice. and alternative bonds are...
I have a question if you have an Hamiltonian given by
H = \sum_{i,i+1} \sigma_i \cdot \sigma_{i+1}
where i can even or odd bonds so in a 1D lattice so if you have 4 sites(1 2 3 4 1) then (12) and (34) are even bonds and (23) and (41) are odd bonds. and I was checking if
[H_{x...