Terms
Terms preliminaries
Before we describe Hamiltonians, which are available, let's briefly describe terms, which are currently implemented in SOLIDstate.
The current version of the SOLIDstate has support only for terms that can be described up to second rank tensor (matrix), which corresponds up to two-body terms.
Hop
Fermions (spinless)
\[ \sum_{ij} \left(t_{ij} a^\dagger_i a_j + \mathrm{H.c.}\right) \]
Standard label: t
Spins \(\tfrac12\)
\[ \sum_{ij} \left(J_{ij} S_i^+ S_j^- + \mathrm{H.c.}\right) \]
Standard label: TODO
Create Pair
Fermions (spinless)
\[ \sum_{ij} \left(\Delta_{ij} a^\dagger_i a_j^\dagger + \mathrm{H.c.}\right) \]
Standard label: delta
One Body Interaction
Fermions (spinless)
\[ \sum_{i} \mu_{i} \hat n_i \]
Standard label: mu
Spins \(\tfrac12\)
\[ \sum_{i} h_{i} S_i^z \]
Two Body Interaction
Fermions (spinless)
\[ \sum_{ij} V_{ij} \hat n_i \hat n_j \]
Standard label: V
Spins \(\tfrac12\)
\[ \sum_{ij} J^z_{ij} S_i^z S_j^z \]