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J1-J2 square 10x10, J2 = 0.9

J1J2/square_100_P_0.9

Record

-0.6269664 E/N (S.S)

DMRG (bond dimension = 1024)

run script, no paper cited · lowest eligible strict variational bound (rules §6)

The Hamiltonian

H = ∑⟨ij⟩ σi·σj + J2⟨⟨ij⟩⟩ σi·σj

J1 = 1, J2 = 0.9, nearest and next-nearest neighbours, written with Pauli matrices.

lattice
square
sites
100
boundary
periodic
J2
0.9
energies
3

Stored as a total energy in the convention of VarBench; 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. Ranking happens only inside the first group.

Strict variational upper bounds (3)

The record is the lowest eligible energy in this group, and only this group.

E/N (S.S)σVar(E)V-score methodsourceyear
-0.6269664record n/a 4.23e+1 6.7e-2 DMRG (bond dimension = 1024)
VarBench reference run
run script, no paper cited n/a
-0.59742(3) 3.2e-5 1.61e+2 2.8e-1 RBM (alpha = 1)
VarBench reference run
run script, no paper cited n/a
-0.58976(3) 2.5e-5 1.08e+2 1.9e-1 Jastrow baseline
VarBench reference run
run script, no paper cited n/a

Coverage

No row here carries a publication year. Nothing has been added to this instance since the VarBench snapshot of 2024-10-22.

This instance as data

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