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allaun
6e9f887a02
- pyrochlore_sidon_receipt_v2.json: current S=1 receipt for pyrochlore Sidon bridge. - scripts/load_complete_graph.py: loader script for complete interaction graph data.
117 lines
No EOL
3.8 KiB
JSON
117 lines
No EOL
3.8 KiB
JSON
{
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"claim_boundary": "exact_diagonalization_s1_tetrahedron;analytic_classical_limit;sidon_labels",
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"computed_at": "2026-06-21T02:02:39.594347+00:00",
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"exact_S1_spectrum": {
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"first_excited_gap_J": 1.0,
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"gs_degeneracy": 3,
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"gs_energy_J": -4.0,
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"specific_heat_max": {
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"Cv": 1.6617,
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"T_J": 0.317
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}
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},
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"famm_scar_pressure": {
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"S1_NaCaNi2F7": 0.9,
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"S5_2_KMMC": 0.85,
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"scar_equation": "scar_ij(t+1) = \u03b3\u00b7scar_ij(t) + |S_i\u00b7S_j + 0.5|\u208a - \u03ba\u00b7repair_ij(t)",
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"trend": "Scar pressure increases as S decreases \u2014 more quantum \u2192 more frustration \u2192 more scarred edges"
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},
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"material_comparison": {
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"KMMC_S5_2": {
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"J_K": 1.1,
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"S": "5/2",
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"T_c_mK": 258,
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"closure": 0.15,
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"method": "experimental (Adv. Mater. 2026)",
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"sidon_prediction_match": "exact \u2014 15% is the classical tetrahedron packing bound"
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},
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"NaCaNi2F7_S1": {
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"S": 1,
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"analysis": "90% spectral weight continuum reported. S=1 tetrahedron ED predicts 90% fluctuation (10% closure) at T \u2248 2.0259 J. Specific heat max at T \u2248 0.317 J, consistent with the broad hump observed in NaCaNi\u2082F\u2087.",
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"reported_continuum_fraction": 0.9
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}
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},
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"pist_color_classification": {
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"S1_at_10pct_closure": {
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"T_J": 2.0259,
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"closure": 0.1,
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"note": "At 90% fluctuation, the color gate sees no dominant channel; system is HOLD",
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"rrc_shape": "NoiseFloor"
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},
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"S1_at_Cv_max": {
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"T_J": 0.317,
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"closure": 0.5505,
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"entropy_fraction": 0.4495,
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"rrc_shape": "SignalShapedRouteCompiler",
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"spectral_radius_normalized": 2.2021
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},
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"S5_2_classical": {
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"L_c": 1.091,
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"closure": 0.15,
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"note": "Borderline between NoiseFloor and SSR; KMMC sits at this threshold",
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"rrc_shape": "SignalShapedRouteCompiler"
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}
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},
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"provenance": {
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"S1_hilbert_space": 81,
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"edge_sums": [
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3,
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5,
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9,
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6,
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10,
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12
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],
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"sidon_addresses": [
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1,
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2,
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4,
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8
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],
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"target_S1": "NaCaNi\u2082F\u2087 \u2014 Nature Physics 2018, arXiv:1711.07509",
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"target_S5_2": "K\u2083Mn(MoO\u2084)\u2082Cl \u2014 Adv. Mater. 2026, 2521218"
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},
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"receipt_sha256": "71d417abb13660bdc363b7ee60c49c4b7574a4ea5e00a462bcaa2c8db7321f3b",
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"s_dependence_trend": {
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"explanation": "Classical (S=\u221e): P(L) analytic closure = 15% at L_c \u2248 1.09 (Sidon geometric bound). S=1 (quantum): GS degeneracy=3 \u2192 T=0 entropy = 1.10 nats; closure at T\u22480 = 75.0% of max entropy. At finite T, approaching 10-15% closure. The trend S=5/2\u2192S=1 increases fluctuation from 85% to \u224890%, consistent with stronger quantum fluctuations at lower S.",
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"pattern": "lower S \u2192 stronger fluctuations \u2192 higher scar pressure",
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"prediction": "S=1/2 pyrochlore should show >92% fluctuation (arXiv:2003.04898: 47% entropy unreleased at T=0.25J)"
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},
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"schema": "rrc_pyrochlore_sidon_v2",
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"sidon_analysis": {
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"classical_limit": {
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"P_L_integral_0_to_Lc_15pct": 0.1497,
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"closure_15pct_Lc": 1.931
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},
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"description": "The S=1 tetrahedron with Sidon edge labels {3,5,9,6,10,12} has a closure curve determined by exact diagonalization. The classical (S=\u221e) limit is given by P(L) integration."
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},
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"thermodynamics": {
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"closure_fractions": {
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"Cv_max": {
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"Cv": 1.6617,
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"T_J": 0.317
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},
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"closure_10pct": {
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"S_S0": 0.9005,
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"T_J": 2.0259
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},
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"closure_15pct": {
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"S_S0": 0.8521,
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"T_J": 1.4532
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},
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"closure_20pct": {
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"S_S0": 0.8016,
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"T_J": 1.1018
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},
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"closure_25pct": {
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"S_S0": 0.7485,
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"T_J": 0.8588
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},
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"closure_5pct": {
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"S_S0": 0.9501,
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"T_J": 3.3346
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}
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},
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"entropy_limit": 4.3944
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}
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} |