Table 2 The basis set used in this paper.
Name | Relationship to eigenstate of Ho when λ = 0, |I,Iz,S〉 |
|
|
| Singlets mixed with in full model |
|---|---|---|---|---|---|
|Sz〉 | |1,0,0〉 | −1 | 1 |
| – |
|Sx〉 |
| 1 | −1 | – | |
|Sy〉 |
| −1 | −1 | – | |
|T1〉 | |0,0,1〉 | 1 | 1 | None | |
|Tz〉 | |1,0,1〉 | −1 | 1 |
| |Sz〉 |
|Tx〉 |
| −1 | −1 | |Sy〉 | |
|Ty〉 |
| 1 | −1 | |Sx〉 | |
| |2,0,1〉 | 1 | 1 | None | |
|Txz〉 |
| −1 | −1 | |Sy〉 | |
|Tyz〉 |
| 1 | −1 | |Sx〉 | |
|Txy〉 |
| −1 | 1 |
| |Sz〉 |
|
| 1 | 1 |
| None |








with ↑ (↓) indicating
(−1/2) and
and −1 respectively.
. In this table we list only the
[Lz  =  
] states. Each state has two partners with
and hence Lz = −1. The latter two, but not the former, mix under the action of the full Hamiltonian.