Triple

T7145292
Position Surface form Disambiguated ID Type / Status
Subject Bloch waves E166546 entity
Predicate relatedTo P37 FINISHED
Object Wannier functions
Wannier functions are a set of localized orthogonal functions in crystalline solids, obtained from Bloch states, that are widely used to describe electronic structure and tight-binding models in condensed matter physics.
E166546 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: Wannier functions | Statement: [Bloch waves, relatedTo, Wannier functions]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Wannier functions
Context triple: [Bloch waves, relatedTo, Wannier functions]
  • A. Bloch waves
    Bloch waves are quantum-mechanical wavefunctions that describe particles, such as electrons, propagating through a periodic crystal lattice and form the basis for understanding electronic band structure in solids.
  • B. 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.
  • C. Wightman functions
    Wightman functions are vacuum expectation values of time-ordered products of quantum fields that rigorously encode the correlation structure and axiomatic foundations of relativistic quantum field theory.
  • D. density functional theory
    Density functional theory is a quantum mechanical method for calculating the electronic structure and properties of many-body systems, widely used in physics, chemistry, and materials science.
  • E. Wigner distribution function
    The Wigner distribution function is a quasi-probability distribution used in quantum mechanics and signal processing to represent quantum states in phase space, often exhibiting non-classical features such as negative values.
  • 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: Wannier functions
Triple: [Bloch waves, relatedTo, Wannier functions]
Generated description
Wannier functions are a set of localized orthogonal functions in crystalline solids, obtained from Bloch states, that are widely used to describe electronic structure and tight-binding models in condensed matter physics.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Wannier functions
Target entity description: Wannier functions are a set of localized orthogonal functions in crystalline solids, obtained from Bloch states, that are widely used to describe electronic structure and tight-binding models in condensed matter physics.
  • A. Bloch waves chosen
    Bloch waves are quantum-mechanical wavefunctions that describe particles, such as electrons, propagating through a periodic crystal lattice and form the basis for understanding electronic band structure in solids.
  • B. 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.
  • C. Wightman functions
    Wightman functions are vacuum expectation values of time-ordered products of quantum fields that rigorously encode the correlation structure and axiomatic foundations of relativistic quantum field theory.
  • D. density functional theory
    Density functional theory is a quantum mechanical method for calculating the electronic structure and properties of many-body systems, widely used in physics, chemistry, and materials science.
  • E. Wigner distribution function
    The Wigner distribution function is a quasi-probability distribution used in quantum mechanics and signal processing to represent quantum states in phase space, often exhibiting non-classical features such as negative values.
  • F. None of above.

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_69c6888579d481909e05a8d6b81bf733 completed March 27, 2026, 1:39 p.m.
NER Named-entity recognition batch_69c6e7d1652c8190973edceab55f04bc completed March 27, 2026, 8:25 p.m.
NED1 Entity disambiguation (via context triple) batch_69c7ada12a848190b6e98e0b1a258c17 completed March 28, 2026, 10:29 a.m.
NEDg Description generation batch_69c7aeb1c59c8190b02fcb731003ad31 completed March 28, 2026, 10:34 a.m.
NED2 Entity disambiguation (via description) batch_69c7af2ad8a081909185cfd3a3d4e4d0 completed March 28, 2026, 10:36 a.m.
Created at: March 27, 2026, 2:46 p.m.