Record
-0.00208(4)
E/N (Ha)
Fixed-node DMC (Slater-Jastrow (SJ) trial function, Jastrow factor not stated for this table (J1 Eq. 36 or J2 Eq. 39; conclusions, line 1543, say the pseudo)
10.1140/epjb/e2013-40204-3 · lowest unflagged energy published, a projected estimate
(rules §6)
The Hamiltonian
H = −½ ∑i ∇i2 + ∑i<j vE(ri − rj) + Nξ/2
Homogeneous electron gas in 3D: N↑ = 33, N↓ = 33 in a periodic sc cell at rs = 2 bohr, Γ point. vE is the Ewald-summed Coulomb interaction with a uniform neutralizing background, ξ the Madelung term. Hartree atomic units; the energy per electron is E/N.
- cell
- sc
- electrons
- 66
- boundary
- periodic
- N_up
- 33
- N_dn
- 33
- rs
- 2
- twist
- Gamma
- energies
- 2
Stored as a total energy in Hartree (rules §12); quoted here as
E/N (Ha), the energy per electron
(how the conversion works).
How these numbers were read
Where each number below was read, and how it was checked.
-0.00208(4) — Fixed-node DMC (Slater-Jastrow (SJ) trial function, Jastrow...
Checked 2026-10-19 · source text of arXiv:1304.7298 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. -0.00416(8)
Table II, row rs = 2, column a; sources/1304.7298.txt line 983; printed in Ry per electron; version read: arXiv text in sources/; journal copy not read | Eq. (11) line 277: 'V = sum_{i<j} e^2 v_I(r_ij) + sum_i e^2 v_M', v_M = 1/2 lim_{r->0}[v_I(r) - v(r)] 'a Madelung constant ... interaction of a particle with its own images'; Ewald sums in Sec. III after Natoli and Ceperley (ref 34), background included (Eq. 8, 'uniform background of the same density but opposite charge'). Energies 'given in Rydbergs' (line 196-197). No Hartree-Fock energy is printed anywhere, so the convention cannot be fixed from the paper; the reader's check (see row notes) gives implied E-E_HF of -0.033 Ry (rs 10), -0.049 Ry (rs 5), -0.072 Ry (rs 2), -0.089 Ry (rs 1) per e
-0.002018(3) — Fixed-node DMC (SJ trial function; time step tau = 0.05...
Checked 2026-10-19 · source text of arXiv:1304.7298 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. -0.004036(6)
Table III, row rs = 2, column a; sources/1304.7298.txt line 1000; printed in Ry per electron; version read: arXiv text in sources/; journal copy not read | Eq. (11) line 277: 'V = sum_{i<j} e^2 v_I(r_ij) + sum_i e^2 v_M', v_M = 1/2 lim_{r->0}[v_I(r) - v(r)] 'a Madelung constant ... interaction of a particle with its own images'; Ewald sums in Sec. III after Natoli and Ceperley (ref 34), background included (Eq. 8, 'uniform background of the same density but opposite charge'). Energies 'given in Rydbergs' (line 196-197). No Hartree-Fock energy is printed anywhere, so the convention cannot be fixed from the paper; the reader's check (see row notes) gives implied E-E_HF of -0.033 Ry (rs 10), -0.049 Ry (rs 5), -0.072 Ry (rs 2), -0.089 Ry (rs 1) per e