Rigorous Results on Valence-Bond Ground States in Antiferromagnets

Affleck, I., Kennedy, T., Lieb, E. H., & Tasaki, H. (1987). Rigorous Results on Valence-Bond Ground States in Antiferromagnets. Physical Review Letters, 799-802.

Type

Journal article

Intellectual base

Primary research

Year

1987

Pages

799-802

DOI

10.1103/physrevlett.59.799

DOI registrant

American Physical Society

Link

https://doi.org/10.1103/PhysRevLett.59.799

Cited by

2 citations across 2 artifacts.

Domain-specific

• AKLT Model
  • The Hamiltonian penalizes the total-spin-2 sector on every neighboring physical-spin pair, so the constructed VBS state is annihilated by each nonnegative local term.
• Matrix Product State
  • It is also distinct from DMRG: DMRG is an optimization procedure whose modern variational state class is MPS.

Verification

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