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All instances / Shastry-Sutherland

Shastry-Sutherland square 20x20, open, J = 0.8, Jd = 1

Best values (rules §6)

best variational -0.442928(3) PEPS
10.1103/PhysRevLett.133.026502, · the lowest unflagged variational energy, a strict variational bound

Energies as E/N (S.S). Classes are different claims and are not ranked against each other.

The Hamiltonian

H = J ∑⟨ij⟩ σi·σj + Jd ∑dimers σi·σj

Shastry-Sutherland lattice: a square lattice of bonds J with one diagonal bond Jd in every second plaquette, the orthogonal dimers. J = 0.8, Jd = 1, the couplings of the spin-1/2 form with S = σ/2, normalised to Jd = 1 (RULES.md 2.1); written here with Pauli matrices, so E/N in S units is E/(4N).

lattice
square
sites
400
boundary
open
J
0.8
Jd
1
energies
4

Stored as a total energy; quoted here as E/N (S.S), which is what the papers report (how the conversion works).

Every published energy

Grouped by what the number is. The exact energy comes first where there is one; in every other group the lowest unflagged energy is its best value, and each row's distance is to that best (rules §6).

Strict variational upper bounds (4)

Energies that a variational state reached (VMC, DMRG and MPS at finite bond dimension, PEPS, NQS, VQE). Each is an upper bound on the ground-state energy.

E/N (S.S)distance to class bestσVar(E)V-score methodsourcecodeyearcomment
-0.442928best variational 0 3.0e-6 n/a n/a PEPS
peer reviewed
10.1103/PhysRevLett.133.026502, 2024
-0.442920tied with best variational at 2σ 8.0e-6 2.0e-6 n/a n/a PEPS
peer reviewed
10.1103/PhysRevLett.133.026502, 2024
-0.442861 6.7e-5 9.0e-6 n/a n/a PEPS
peer reviewed
10.1103/PhysRevLett.133.026502, 2024
-0.442104 8.2e-4 8.0e-6 n/a n/a PEPS
peer reviewed
10.1103/PhysRevLett.133.026502, 2024

How these numbers were read

Where each number below was read, and how it was checked.

-0.442928(3), PEPS

Checked 2026-10-20 · source text of arXiv:2309.10955 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 (2026-10-20)

Reported as. -0.442928(3)

Table III, D = 10; version read: arXiv text (sources/2309.10955.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8) | Eq. (1) H = J1 sum S.S (square bonds) + J2 sum S.S (dimer bonds), Table III caption '20 x 20 SSM system at J1/J2 = 0.8 (set J2 = 1)'; per site: the section compares 'energy per site' of finite PEPS and iPEPS, and E_DVBS = -0.375. Table III does not say whether the average runs over the whole lattice or a central cluster; read as the whole lattice.

-0.442920(2), PEPS

Checked 2026-10-20 · source text of arXiv:2309.10955 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 (2026-10-20)

Reported as. -0.442920(2)

Table III, D = 8; version read: arXiv text (sources/2309.10955.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8) | Eq. (1) H = J1 sum S.S (square bonds) + J2 sum S.S (dimer bonds), Table III caption '20 x 20 SSM system at J1/J2 = 0.8 (set J2 = 1)'; per site: the section compares 'energy per site' of finite PEPS and iPEPS, and E_DVBS = -0.375. Table III does not say whether the average runs over the whole lattice or a central cluster; read as the whole lattice.

-0.442861(9), PEPS

Checked 2026-10-20 · source text of arXiv:2309.10955 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 (2026-10-20)

Reported as. -0.442861(9)

Table III, D = 6; version read: arXiv text (sources/2309.10955.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8) | Eq. (1) H = J1 sum S.S (square bonds) + J2 sum S.S (dimer bonds), Table III caption '20 x 20 SSM system at J1/J2 = 0.8 (set J2 = 1)'; per site: the section compares 'energy per site' of finite PEPS and iPEPS, and E_DVBS = -0.375. Table III does not say whether the average runs over the whole lattice or a central cluster; read as the whole lattice.

-0.442104(8), PEPS

Checked 2026-10-20 · source text of arXiv:2309.10955 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 (2026-10-20)

Reported as. -0.442104(8)

Table III, D = 4; version read: arXiv text (sources/2309.10955.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8) | Eq. (1) H = J1 sum S.S (square bonds) + J2 sum S.S (dimer bonds), Table III caption '20 x 20 SSM system at J1/J2 = 0.8 (set J2 = 1)'; per site: the section compares 'energy per site' of finite PEPS and iPEPS, and E_DVBS = -0.375. Table III does not say whether the average runs over the whole lattice or a central cluster; read as the whole lattice.

Coverage

Newest published number here: 2024.

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