Abelian-symmetric Kagome iPEPSΒΆ
Specialized class for abelian-symmetric iPEPS on Kagome lattice, where sites s0,s1,s2 on down-triangles are fused together:
|/ |/
s1 s1
/ | / | | |
/ | / | |/(s0,s1,s2) |/(s0,s1,s2)
--s0--s2--s0--s2-- => --a---------------a--
| / | / | |
|/ |/ | |
s1 s1 | |
/ | / | | |
/ | / | |/(s0,s1,s2) |/(s0,s1,s2)
--s2--s0--s2--s0--s2-- --a---------------a--
| / | / | |
|/ |/
s1 s1
/| /|
The resulting tensor network is defined on a square lattice in terms of rank-5 on-site tensors. Physical index runs over the product of Hilbert spaces of s0,s1,s2 in this order. These Hilbert spaces are assumed to be identical.