Triple

T13809692
Position Surface form Disambiguated ID Type / Status
Subject Arkady Migdal E331852 entity
Predicate notableIdea P4 FINISHED
Object Migdal theorem on vertex corrections in electron-phonon systems
The Migdal theorem on vertex corrections in electron-phonon systems is a key result in many-body physics stating that, due to the small ratio of electron to ion masses, vertex corrections to electron-phonon interactions can be neglected to leading order, greatly simplifying the theory of conventional superconductors and metals.
E1062839 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: Migdal theorem on vertex corrections in electron-phonon systems | Statement: [Arkady Migdal, notableIdea, Migdal theorem on vertex corrections in electron-phonon systems]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Migdal theorem on vertex corrections in electron-phonon systems
Context triple: [Arkady Migdal, notableIdea, Migdal theorem on vertex corrections in electron-phonon systems]
  • A. 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.
  • B. 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.
  • C. Elementary Excitations in Solids
    "Elementary Excitations in Solids" is a classic theoretical physics monograph that systematically develops the concept of quasiparticles and collective excitations to explain the behavior of electrons, phonons, and other excitations in condensed matter systems.
  • D. Fermi liquid theory
    Fermi liquid theory is a framework in condensed matter physics that describes how interacting fermions in a metal behave like long-lived quasiparticles with properties similar to those of a non-interacting Fermi gas.
  • E. 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.
  • 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: Migdal theorem on vertex corrections in electron-phonon systems
Triple: [Arkady Migdal, notableIdea, Migdal theorem on vertex corrections in electron-phonon systems]
Generated description
The Migdal theorem on vertex corrections in electron-phonon systems is a key result in many-body physics stating that, due to the small ratio of electron to ion masses, vertex corrections to electron-phonon interactions can be neglected to leading order, greatly simplifying the theory of conventional superconductors and metals.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Migdal theorem on vertex corrections in electron-phonon systems
Target entity description: The Migdal theorem on vertex corrections in electron-phonon systems is a key result in many-body physics stating that, due to the small ratio of electron to ion masses, vertex corrections to electron-phonon interactions can be neglected to leading order, greatly simplifying the theory of conventional superconductors and metals.
  • A. 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.
  • B. 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.
  • C. Elementary Excitations in Solids
    "Elementary Excitations in Solids" is a classic theoretical physics monograph that systematically develops the concept of quasiparticles and collective excitations to explain the behavior of electrons, phonons, and other excitations in condensed matter systems.
  • D. Fermi liquid theory
    Fermi liquid theory is a framework in condensed matter physics that describes how interacting fermions in a metal behave like long-lived quasiparticles with properties similar to those of a non-interacting Fermi gas.
  • E. 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.
  • 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_69d81c59f8808190a851bc56afdc55e9 completed April 9, 2026, 9:38 p.m.
NER Named-entity recognition batch_69de026ff6b481908066d6bf27064417 completed April 14, 2026, 9:01 a.m.
NED1 Entity disambiguation (via context triple) batch_69f7b08fbc348190a199c5d92e0e46be completed May 3, 2026, 8:31 p.m.
NEDg Description generation batch_69f7b15143108190a49a09afba93eb45 completed May 3, 2026, 8:34 p.m.
NED2 Entity disambiguation (via description) batch_69f7b50c31ac81909b17013d57dda164 completed May 3, 2026, 8:50 p.m.
Created at: April 9, 2026, 10:12 p.m.