The Hamiltonian
H = −t1 ∑⟨ij⟩,σ (c†iσcjσ + h.c.) −t2 ∑⟨⟨ij⟩⟩,σ (c†iσcjσ + h.c.) + U ∑i ni↑ni↓
t1 = 1, t2 = 0.15, U = 12, N↑ = N↓ = 126 on 288 sites.
This instance is a t12 variant with a next-nearest-neighbour hopping t2, written as in VarBench's Eq. (S6). t2 is the t′ of the sources' H = −t ∑⟨ij⟩ − t′ ∑⟨⟨ij⟩⟩ + U ∑ ni↑ni↓. The couplings are those each source prints (see the rows).
- lattice
- rectangular-6x48
- sites
- 288
- boundary
- periodic
- Nf
- 126
- U
- 12
- t1
- 1
- t2
- 0.15
- energies
- 2
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.
-0.6464, VMC (stripe λ = 12 + Jastrow + backflow)
Checked 2026-10-21 · source text of arXiv:2111.04623 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; single reading
Reported as. -0.6464
Table 2 (U/t = 12), row t'/t = 0.15, column E_stripe (λ = 12), Lx = 48 per the caption; no per-value error bar | Energy per site in units of t on Lx x 6 ladders with 'periodic boundary conditions along both the x and the y directions', hole doping 1/8 (n = 7/8). Eq. (1): H = -t sum_<ij> - t' sum_<<ij>> + U sum n_up n_dn, so t2 = t'. Table 2 caption: Lx = 48, except Lx = 40 for the λ = 5 stripes. 'The error bar on the energy is always smaller than 10^-4' is one statement for the whole table, not a per-value sigma.
-0.6447, VMC (uniform + Jastrow + backflow)
Checked 2026-10-21 · source text of arXiv:2111.04623 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; single reading
Reported as. -0.6447
Table 2 (U/t = 12), row t'/t = 0.15, column E_uniform, Lx = 48 per the caption; no per-value error bar | Energy per site in units of t on Lx x 6 ladders with 'periodic boundary conditions along both the x and the y directions', hole doping 1/8 (n = 7/8). Eq. (1): H = -t sum_<ij> - t' sum_<<ij>> + U sum n_up n_dn, so t2 = t'. Table 2 caption: Lx = 48, except Lx = 40 for the λ = 5 stripes. 'The error bar on the energy is always smaller than 10^-4' is one statement for the whole table, not a per-value sigma.