QMBLthe quantum many-body leaderboard

All instances / Shastry-Sutherland

Shastry-Sutherland square 12x12, J = 0.7, Jd = 1

Best values (rules §6)

best variational -0.37627 VMC (Gutzwiller)
10.1103/hvlq-d179, · 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 = 0.7, 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
144
boundary
periodic
J
0.7
Jd
1
energies
12

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 (12)

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
-0.37627best variational 0 n/a n/a n/a VMC (Gutzwiller)
peer reviewed
10.1103/hvlq-d179, 2026
-0.37622 5.0e-5 n/a n/a n/a VMC (Gutzwiller)
peer reviewed
10.1103/hvlq-d179, 2026
-0.37621 6.0e-5 n/a n/a n/a VMC (Gutzwiller)
peer reviewed
10.1103/hvlq-d179, 2026
-0.37539 8.8e-4 n/a n/a n/a VMC (Gutzwiller)
peer reviewed
10.1103/hvlq-d179, 2026
-0.37537 9.0e-4 n/a n/a n/a VMC (Gutzwiller)
peer reviewed
10.1103/hvlq-d179, 2026
-0.37527 1.0e-3 n/a n/a n/a VMC (Gutzwiller)
peer reviewed
10.1103/hvlq-d179, 2026
-0.37512 1.1e-3 n/a n/a n/a VMC (Gutzwiller)
peer reviewed
10.1103/hvlq-d179, 2026
-0.37398 2.3e-3 n/a n/a n/a VMC (Gutzwiller)
peer reviewed
10.1103/hvlq-d179, 2026
-0.37392 2.4e-3 n/a n/a n/a VMC (Gutzwiller)
peer reviewed
10.1103/hvlq-d179, 2026
-0.37308 3.2e-3 n/a n/a n/a VMC (Gutzwiller)
peer reviewed
10.1103/hvlq-d179, 2026
-0.370381 5.9e-3 n/a n/a n/a VMC (Gutzwiller)
peer reviewed
10.1103/hvlq-d179, 2026
-0.36134 1.5e-2 n/a n/a n/a VMC (Gutzwiller)
peer reviewed
10.1103/hvlq-d179, 2026

How these numbers were read

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

-0.37627, VMC (Gutzwiller)

Checked 2026-10-20 · source text of arXiv:2503.20122 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. -0.37627

Table VI, case (i); version read: arXiv text (sources/2503.20122.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8); Some Table VI cases reuse the parameters of case (i) with one parameter changed and are not optimised; the fermion boundary sector of each case is not stated. | Eq. (1) H = J1 sum S.S (square bonds) + J2 sum S.S (diagonal dimer bonds) - Jr sum Q_r, Table VI caption 'J1/J2 = 0.7, Jr = 0', 12 x 12 sites by default; per site in units of J2, read from Table I's 'Energy per site' for the same method and the dimer energy -3/8 beside them (Table VI does not print the unit).

-0.37622, VMC (Gutzwiller)

Checked 2026-10-20 · source text of arXiv:2503.20122 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. -0.37622

Table VI, case (v); version read: arXiv text (sources/2503.20122.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8); Some Table VI cases reuse the parameters of case (i) with one parameter changed and are not optimised; the fermion boundary sector of each case is not stated. | Eq. (1) H = J1 sum S.S (square bonds) + J2 sum S.S (diagonal dimer bonds) - Jr sum Q_r, Table VI caption 'J1/J2 = 0.7, Jr = 0', 12 x 12 sites by default; per site in units of J2, read from Table I's 'Energy per site' for the same method and the dimer energy -3/8 beside them (Table VI does not print the unit).

-0.37621, VMC (Gutzwiller)

Checked 2026-10-20 · source text of arXiv:2503.20122 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. -0.37621

Table VI, case (iii); version read: arXiv text (sources/2503.20122.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8); Some Table VI cases reuse the parameters of case (i) with one parameter changed and are not optimised; the fermion boundary sector of each case is not stated. | Eq. (1) H = J1 sum S.S (square bonds) + J2 sum S.S (diagonal dimer bonds) - Jr sum Q_r, Table VI caption 'J1/J2 = 0.7, Jr = 0', 12 x 12 sites by default; per site in units of J2, read from Table I's 'Energy per site' for the same method and the dimer energy -3/8 beside them (Table VI does not print the unit).

-0.37539, VMC (Gutzwiller)

Checked 2026-10-20 · source text of arXiv:2503.20122 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. -0.37539

Table VI, case (vii); version read: arXiv text (sources/2503.20122.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8); Some Table VI cases reuse the parameters of case (i) with one parameter changed and are not optimised; the fermion boundary sector of each case is not stated. | Eq. (1) H = J1 sum S.S (square bonds) + J2 sum S.S (diagonal dimer bonds) - Jr sum Q_r, Table VI caption 'J1/J2 = 0.7, Jr = 0', 12 x 12 sites by default; per site in units of J2, read from Table I's 'Energy per site' for the same method and the dimer energy -3/8 beside them (Table VI does not print the unit).

-0.37537, VMC (Gutzwiller)

Checked 2026-10-20 · source text of arXiv:2503.20122 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. -0.37537

Table VI, case (ix); version read: arXiv text (sources/2503.20122.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8); Some Table VI cases reuse the parameters of case (i) with one parameter changed and are not optimised; the fermion boundary sector of each case is not stated. | Eq. (1) H = J1 sum S.S (square bonds) + J2 sum S.S (diagonal dimer bonds) - Jr sum Q_r, Table VI caption 'J1/J2 = 0.7, Jr = 0', 12 x 12 sites by default; per site in units of J2, read from Table I's 'Energy per site' for the same method and the dimer energy -3/8 beside them (Table VI does not print the unit).

-0.37527, VMC (Gutzwiller)

Checked 2026-10-20 · source text of arXiv:2503.20122 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. -0.37527

Table VI, case (viii); version read: arXiv text (sources/2503.20122.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8); Some Table VI cases reuse the parameters of case (i) with one parameter changed and are not optimised; the fermion boundary sector of each case is not stated. | Eq. (1) H = J1 sum S.S (square bonds) + J2 sum S.S (diagonal dimer bonds) - Jr sum Q_r, Table VI caption 'J1/J2 = 0.7, Jr = 0', 12 x 12 sites by default; per site in units of J2, read from Table I's 'Energy per site' for the same method and the dimer energy -3/8 beside them (Table VI does not print the unit).

-0.37512, VMC (Gutzwiller)

Checked 2026-10-20 · source text of arXiv:2503.20122 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. -0.37512

Table VI, case (xi); version read: arXiv text (sources/2503.20122.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8); Some Table VI cases reuse the parameters of case (i) with one parameter changed and are not optimised; the fermion boundary sector of each case is not stated. | Eq. (1) H = J1 sum S.S (square bonds) + J2 sum S.S (diagonal dimer bonds) - Jr sum Q_r, Table VI caption 'J1/J2 = 0.7, Jr = 0', 12 x 12 sites by default; per site in units of J2, read from Table I's 'Energy per site' for the same method and the dimer energy -3/8 beside them (Table VI does not print the unit).

-0.37398, VMC (Gutzwiller)

Checked 2026-10-20 · source text of arXiv:2503.20122 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. -0.37398

Table VI, case (xii); version read: arXiv text (sources/2503.20122.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8); Some Table VI cases reuse the parameters of case (i) with one parameter changed and are not optimised; the fermion boundary sector of each case is not stated. | Eq. (1) H = J1 sum S.S (square bonds) + J2 sum S.S (diagonal dimer bonds) - Jr sum Q_r, Table VI caption 'J1/J2 = 0.7, Jr = 0', 12 x 12 sites by default; per site in units of J2, read from Table I's 'Energy per site' for the same method and the dimer energy -3/8 beside them (Table VI does not print the unit).

-0.37392, VMC (Gutzwiller)

Checked 2026-10-20 · source text of arXiv:2503.20122 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. -0.37392

Table VI, case (xiii); version read: arXiv text (sources/2503.20122.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8); Some Table VI cases reuse the parameters of case (i) with one parameter changed and are not optimised; the fermion boundary sector of each case is not stated. | Eq. (1) H = J1 sum S.S (square bonds) + J2 sum S.S (diagonal dimer bonds) - Jr sum Q_r, Table VI caption 'J1/J2 = 0.7, Jr = 0', 12 x 12 sites by default; per site in units of J2, read from Table I's 'Energy per site' for the same method and the dimer energy -3/8 beside them (Table VI does not print the unit).

-0.37308, VMC (Gutzwiller)

Checked 2026-10-20 · source text of arXiv:2503.20122 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. -0.37308

Table VI, case (x); version read: arXiv text (sources/2503.20122.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8); Some Table VI cases reuse the parameters of case (i) with one parameter changed and are not optimised; the fermion boundary sector of each case is not stated. | Eq. (1) H = J1 sum S.S (square bonds) + J2 sum S.S (diagonal dimer bonds) - Jr sum Q_r, Table VI caption 'J1/J2 = 0.7, Jr = 0', 12 x 12 sites by default; per site in units of J2, read from Table I's 'Energy per site' for the same method and the dimer energy -3/8 beside them (Table VI does not print the unit).

-0.370381, VMC (Gutzwiller)

Checked 2026-10-20 · source text of arXiv:2503.20122 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. -0.370381

Table VI, case (iv); version read: arXiv text (sources/2503.20122.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8); Some Table VI cases reuse the parameters of case (i) with one parameter changed and are not optimised; the fermion boundary sector of each case is not stated. | Eq. (1) H = J1 sum S.S (square bonds) + J2 sum S.S (diagonal dimer bonds) - Jr sum Q_r, Table VI caption 'J1/J2 = 0.7, Jr = 0', 12 x 12 sites by default; per site in units of J2, read from Table I's 'Energy per site' for the same method and the dimer energy -3/8 beside them (Table VI does not print the unit).

-0.36134, VMC (Gutzwiller)

Checked 2026-10-20 · source text of arXiv:2503.20122 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. -0.36134

Table VI, case (ii); version read: arXiv text (sources/2503.20122.txt); the journal version was not reached from this session, to be read on the verification pass (RULES.md 8); Some Table VI cases reuse the parameters of case (i) with one parameter changed and are not optimised; the fermion boundary sector of each case is not stated. | Eq. (1) H = J1 sum S.S (square bonds) + J2 sum S.S (diagonal dimer bonds) - Jr sum Q_r, Table VI caption 'J1/J2 = 0.7, Jr = 0', 12 x 12 sites by default; per site in units of J2, read from Table I's 'Energy per site' for the same method and the dimer energy -3/8 beside them (Table VI does not print the unit).

Coverage

Newest published number here: 2026.

This instance as data

JSON · source file on GitHub · add a result · open an issue about this instance