Triple

T18426627
Position Surface form Disambiguated ID Type / Status
Subject Hubbard model E450154 entity
Predicate relatedTo P37 FINISHED
Object Anderson impurity model
The Anderson impurity model is a theoretical framework in condensed matter physics that describes a localized electronic state (impurity) with Coulomb interactions hybridizing with a continuum of conduction electrons, central to understanding phenomena like the Kondo effect.
E1323546 NE FINISHED

How this triple was built (4 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Anderson impurity model | Statement: [Hubbard model, relatedTo, Anderson impurity model]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Anderson impurity model
Context triple: [Hubbard model, relatedTo, Anderson impurity model]
  • A. Dynamical Mean-Field Theory
    Dynamical Mean-Field Theory is a non-perturbative theoretical approach in condensed matter physics that captures local electronic correlations by mapping lattice models onto self-consistent quantum impurity problems, enabling the study of phenomena such as the Mott metal–insulator transition.
  • B. Hubbard model
    The Hubbard model is a fundamental theoretical model in condensed matter physics that describes interacting electrons on a lattice and is widely used to study phenomena such as magnetism, metal–insulator transitions, and high-temperature superconductivity.
  • C. Gutzwiller approximation
    The Gutzwiller approximation is a variational method in condensed matter physics used to study strongly correlated electron systems, particularly metal–insulator (Mott) transitions in lattice models like the Hubbard model.
  • D. Luttinger liquid theory
    Luttinger liquid theory is a framework describing the collective, non-Fermi-liquid behavior of interacting electrons in one-dimensional conductors, where excitations are best understood as bosonic density waves rather than quasiparticles.
  • E. Eliashberg theory
    Eliashberg theory is an extension of BCS superconductivity that incorporates strong-coupling and frequency-dependent effects to more accurately describe real superconducting materials.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Anderson impurity model
Triple: [Hubbard model, relatedTo, Anderson impurity model]
Generated description
The Anderson impurity model is a theoretical framework in condensed matter physics that describes a localized electronic state (impurity) with Coulomb interactions hybridizing with a continuum of conduction electrons, central to understanding phenomena like the Kondo effect.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Anderson impurity model
Target entity description: The Anderson impurity model is a theoretical framework in condensed matter physics that describes a localized electronic state (impurity) with Coulomb interactions hybridizing with a continuum of conduction electrons, central to understanding phenomena like the Kondo effect.
  • A. Dynamical Mean-Field Theory
    Dynamical Mean-Field Theory is a non-perturbative theoretical approach in condensed matter physics that captures local electronic correlations by mapping lattice models onto self-consistent quantum impurity problems, enabling the study of phenomena such as the Mott metal–insulator transition.
  • B. Hubbard model
    The Hubbard model is a fundamental theoretical model in condensed matter physics that describes interacting electrons on a lattice and is widely used to study phenomena such as magnetism, metal–insulator transitions, and high-temperature superconductivity.
  • C. Gutzwiller approximation
    The Gutzwiller approximation is a variational method in condensed matter physics used to study strongly correlated electron systems, particularly metal–insulator (Mott) transitions in lattice models like the Hubbard model.
  • D. Luttinger liquid theory
    Luttinger liquid theory is a framework describing the collective, non-Fermi-liquid behavior of interacting electrons in one-dimensional conductors, where excitations are best understood as bosonic density waves rather than quasiparticles.
  • E. Eliashberg theory
    Eliashberg theory is an extension of BCS superconductivity that incorporates strong-coupling and frequency-dependent effects to more accurately describe real superconducting materials.
  • F. None of above. chosen

Provenance (5 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69d8d381d6388190a9e94e9c658174e4 completed April 10, 2026, 10:40 a.m.
NER Named-entity recognition batch_69e51b13ee88819091e7e007d17dcc73 completed April 19, 2026, 6:12 p.m.
NED1 Entity disambiguation (via context triple) batch_6a03f0ab8760819093e1132b91030b79 completed May 13, 2026, 3:31 a.m.
NEDg Description generation batch_6a03f24c7e248190a3330f339c0caded completed May 13, 2026, 3:38 a.m.
NED2 Entity disambiguation (via description) batch_6a03f2d8703881909b78c2377d9bb542 completed May 13, 2026, 3:41 a.m.
Created at: April 10, 2026, 11:24 a.m.