The Hamiltonian
H = ∑⟨ij⟩ σi·σj + J2 ∑⟨⟨ij⟩⟩ σi·σj
J1 = 1, J2 = 0.4, nearest and next-nearest neighbours, written with Pauli matrices.
- lattice
- square
- sites
- 64
- boundary
- periodic
- J2
- 0.4
- energies
- 8
Stored as a total energy in the convention of
VarBench; quoted here as
E/N (S.S), which is what the papers report
(how the conversion works).
How these numbers were read
Rows added after the VarBench import record where the number came from.
-0.5262(1) — DMRG, extrapolated in the truncation error (4096-8192 SU(2)...
Checked 2026-09-15 · source text of arXiv:1311.5962 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; parsed by column from the primary table
Reported as. -0.5262(1)
Table I of arXiv:1311.5962 (pypdf layout text, line 645), J2 = 0.4, L = 8, column 4 of 8 | E/J1 per site in S.S units on the L x L periodic torus (caption)
-0.52556(1) — VMC + Lanczos steps, extrapolated in the variance
Checked 2026-09-15 · source text of arXiv:1304.2630 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; parsed by column from the primary table
Reported as. -0.52556(1)
TABLE IV of arXiv:1304.2630 (pypdf layout text, line 387), L = 8, S = 0, J2/J1 = 0.4 | E/J1 per site in S.S units on the L x L periodic torus; the S = 0 row is the ground state
-0.52539(1) — VMC + 2 Lanczos steps
Checked 2026-09-15 · source text of arXiv:1304.2630 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; parsed by column from the primary table
Reported as. -0.52539(1)
TABLE III of arXiv:1304.2630 (pypdf layout text, line 367), L = 8, S = 0, J2/J1 = 0.4 | E/J1 per site in S.S units on the L x L periodic torus; the S = 0 row is the ground state
-0.5251960 ○ — DMRG on the L x L torus, 8192 SU(2) states
Checked 2026-09-15 · source text of arXiv:1311.5962 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; parsed by column from the primary table
Reported as. -0.525196
Table I of arXiv:1311.5962 (pypdf layout text, line 645), J2 = 0.4, L = 8, column 3 of 8 | E/J1 per site in S.S units on the L x L periodic torus (caption)
-0.5250130 ○ — DMRG on the L x L torus, 6144 SU(2) states
Checked 2026-09-15 · source text of arXiv:1311.5962 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; parsed by column from the primary table
Reported as. -0.525013
Table I of arXiv:1311.5962 (pypdf layout text, line 645), J2 = 0.4, L = 8, column 2 of 8 | E/J1 per site in S.S units on the L x L periodic torus (caption)
-0.52501(1) — VMC + 1 Lanczos step
Checked 2026-09-15 · source text of arXiv:1304.2630 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; parsed by column from the primary table
Reported as. -0.52501(1)
TABLE II of arXiv:1304.2630 (pypdf layout text, line 345), L = 8, S = 0, J2/J1 = 0.4 | E/J1 per site in S.S units on the L x L periodic torus; the S = 0 row is the ground state
-0.5246480 ○ — DMRG on the L x L torus, 4096 SU(2) states
Checked 2026-09-15 · source text of arXiv:1311.5962 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; parsed by column from the primary table
Reported as. -0.524648
Table I of arXiv:1311.5962 (pypdf layout text, line 645), J2 = 0.4, L = 8, column 1 of 8 | E/J1 per site in S.S units on the L x L periodic torus (caption)
-0.52302(1) — VMC, p = 0 Lanczos steps
Checked 2026-09-15 · source text of arXiv:1304.2630 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; parsed by column from the primary table
Reported as. -0.52302(1)
TABLE I of arXiv:1304.2630 (pypdf layout text, line 323), L = 8, S = 0, J2/J1 = 0.4 | E/J1 per site in S.S units on the L x L periodic torus; the S = 0 row is the ground state