Zoo of Hamiltonians

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Convention of the spin Hamiltonian is defined by their form (constants before the sums) and two properties:

• Whether spin vectors are normalised or not.

  • yes: \(\vert \mathbf{S}_i \vert = 1\)

  • no: \(\vert \mathbf{S}_i \vert = S_i\)

• Whether multiple counting is implied in the sums or not.

  • yes: both \(i \rightarrow j\) and \(j \rightarrow i\) are included.

  • no: only one direction is included.

For multiple counting the example is given for 2-sites terms of the Hamiltonian, the same concept is generalizable for terms that involve more than 2 sites.

• EspinS
• GROGU
• juKKR
• Magnopy
• Magpie
• McPhase
• QUESTAAL
• SpinW
• Spirit
• Sunny
• TB2J
• UppASD
• Vampire