{"artifact_id":"L1-318","layer":"L1","title":"Tight-Binding Electronic Structure","domain":"Quantum Mechanics","sub_domain":"Minimal-basis electronic models","physics_fingerprint":{"L_DAG":3.0,"title":"Tight-Binding Electronic Structure","domain":"Quantum Mechanics","carrier":"electron","primitives":["E.SK_parameters","E.eigensolve","O.DOS_band"],"sub_domain":"Minimal-basis electronic models","noise_model":"gaussian","problem_class":"linear_inverse","solution_space":"tb_parameter_vector","difficulty_delta":3,"integration_axis":"k_space","sensing_mechanism":"arpes_stm"},"observable_profile":{"metric":"band_L2_error_eV","regime":"Well-posed; TB parameter fit from DFT is regularized.","secondary":"DOS_L1_error"},"size_tiers":{"center_spec":{"omega":{"N_atoms":2,"N_kpoints":100,"N_orbitals":18,"N_neighbor_shells":2},"input_format":"measurement_only","problem_class":"tight_binding","forward_operator":"tb_forward","epsilon_fn_center":"band L2 <= 0.05 eV"},"omega_bounds":{"N_atoms":[1,1000],"N_kpoints":[10,10000],"N_orbitals":[4,200],"N_neighbor_shells":[1,10]},"epsilon_bounds":{"band_L2_error_eV":[0.01,2.0]},"allowed_problem_classes":["tight_binding"],"allowed_omega_dimensions":["N_orbitals","N_atoms","N_kpoints","N_neighbor_shells"],"allowed_forward_operators":["tb_forward"]},"hardness_fn":{"type":"epsilon_fn","delta":3,"kappa":150,"metric":"band_L2_error_eV"},"initiator_dataset":[{"name":"primary","weight":1.0,"ipfs_cid":null,"license_hash":null}],"status":"testnet","staked_pwm":0.0,"chain_hash":"0xf2135fd521c9de2927ec4264589e1980198da9e1f8c57b442f910f1bd0fbf48e","chain_tx_hash":"0x1e781f92a9cd7a2d8b12b41152f6cdc1356cd319874c3c6b6c9a82e60968475b","chain_block":41554080}