The Hamiltonian
H = −t ∑⟨ij⟩,σ P(c†iσcjσ + h.c.)P + J ∑⟨ij⟩ (Si·Sj − ninj/4)
t-J model: P projects out doubly occupied sites, S = σ/2. t = 1, J = 0.333333; the exchange term includes −ninj/4. N↑ = 32, N↓ = 31 on 64 sites (1 hole). Cluster: 8 x 8 square lattice, open boundaries (arXiv:2602.21206: 'N_x x N_y under the OBC').
- lattice
- square
- sites
- 64
- boundary
- open
- t
- 1
- J
- 0.3333333333333333
- N_up
- 32
- N_dn
- 31
- nn_term
- true
- energies
- 4
Stored as a total energy; quoted here as
E/site, which is what the papers report
(how the conversion works).
How these numbers were read
Where each number below was read, and how it was checked.
-0.380099, DMRG
Checked 2026-10-22 · source text of arXiv:2602.21206 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; first reading and an adversarial second reading (2026-10-22)
Reported as. −72.979
text: E_tot(DMRG) of the 8 x 8 lattice, OBC, one hole, t = 3, J = 1 (line 201); version read: arXiv text (sources/2602.21206.txt); the journal version was not reached from this session (the publisher returned 403), to be read on the verification pass (RULES.md 8) | Eqs. (4)-(5): H = P(H_t + H_J)P, H_t = -t sum (c+c + H.c.), H_J = J sum (S_i.S_j - n_i n_j / 4), J = 1 the energy unit and t = 3 (lines 185-186): the instance's J/t = 1/3 and a factor 3 (scale). Total energies E_tot of the 8 x 8 OBC lattice with one hole.
-0.372224, VMC (phase string)
Checked 2026-10-22 · source text of arXiv:2602.21206 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; first reading and an adversarial second reading (2026-10-22)
Reported as. −71.467
text: E_tot(VMC) of the 8 x 8 lattice, OBC, one hole, t = 3, J = 1 (line 200); version read: arXiv text (sources/2602.21206.txt); the journal version was not reached from this session (the publisher returned 403), to be read on the verification pass (RULES.md 8) | Eqs. (4)-(5): H = P(H_t + H_J)P, H_t = -t sum (c+c + H.c.), H_J = J sum (S_i.S_j - n_i n_j / 4), J = 1 the energy unit and t = 3 (lines 185-186): the instance's J/t = 1/3 and a factor 3 (scale). Total energies E_tot of the 8 x 8 OBC lattice with one hole.
-0.3719792, VMC (Bloch wave)
Checked 2026-10-22 · source text of arXiv:2602.21206 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; first reading and an adversarial second reading (2026-10-22)
Reported as. -71.42
Table III, E_tot, row |Ψ_Lanczos⟩_1h (line 1149); version read: arXiv text (sources/2602.21206.txt); the journal version was not reached from this session (the publisher returned 403), to be read on the verification pass (RULES.md 8) | Eqs. (4)-(5): H = P(H_t + H_J)P, H_t = -t sum (c+c + H.c.), H_J = J sum (S_i.S_j - n_i n_j / 4), J = 1 the energy unit and t = 3 (lines 185-186): the instance's J/t = 1/3 and a factor 3 (scale). Total energies E_tot of the 8 x 8 OBC lattice with one hole.
-0.3540625, VMC (Bloch wave)
Checked 2026-10-22 · source text of arXiv:2602.21206 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; first reading and an adversarial second reading (2026-10-22)
Reported as. -67.98
Table III, E_tot, row |Ψ_Bloch⟩_1h (line 1148); version read: arXiv text (sources/2602.21206.txt); the journal version was not reached from this session (the publisher returned 403), to be read on the verification pass (RULES.md 8) | Eqs. (4)-(5): H = P(H_t + H_J)P, H_t = -t sum (c+c + H.c.), H_J = J sum (S_i.S_j - n_i n_j / 4), J = 1 the energy unit and t = 3 (lines 185-186): the instance's J/t = 1/3 and a factor 3 (scale). Total energies E_tot of the 8 x 8 OBC lattice with one hole.