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Record W2064529294 · doi:10.1103/physrevb.82.035105

Witten effect in a crystalline topological insulator

2010· article· en· W2064529294 on OpenAlex
G. Rosenberg, Marcel Franz

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

VenuePhysical Review B · 2010
Typearticle
Languageen
FieldPhysics and Astronomy
TopicTopological Materials and Phenomena
Canadian institutionsUniversity of British Columbia
Fundersnot available
KeywordsMagnetic monopolePhysicsAxionMagnetismCharge (physics)Topological insulatorTopology (electrical circuits)Coupling (piping)Electric chargeQuantum mechanicsParticle physicsCombinatoricsMathematics

Abstract

fetched live from OpenAlex

It has been noted a long time ago that a term of the form $\ensuremath{\theta}({e}^{2}/2\ensuremath{\pi}h)\mathbf{B}\ensuremath{\cdot}\mathbf{E}$ may be added to the standard Maxwell Lagrangian without modifying the familiar laws of electricity and magnetism. $\ensuremath{\theta}$ is known to particle physicists as the ``axion'' field and whether or not it has a nonzero expectation value in vacuum remains a fundamental open question of the standard model. A key manifestation of the axion term is the Witten effect: a unit magnetic monopole placed inside a medium with $\ensuremath{\theta}\ensuremath{\ne}0$ is predicted to bind a (generally fractional) electric charge $\ensuremath{-}e(\ensuremath{\theta}/2\ensuremath{\pi}+n)$ with $n$ integer. Here we conduct a test of the Witten effect based on the recently established fact that the axion term with $\ensuremath{\theta}=\ensuremath{\pi}$ emerges naturally in the description of the electromagnetic response of a class of crystalline solids called topological insulators---materials distinguished by strong spin-orbit coupling and nontrivial band structures. Using a simple physical model for a topological insulator we demonstrate the existence of a fractional charge bound to a monopole by an explicit numerical calculation. We also propose a scheme for generating an ``artificial'' magnetic monopole in a topological insulator film that may be used to facilitate an experimental test of Witten's prediction.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesInsufficient payload (model declined to judge)
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.054
Threshold uncertainty score0.999

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0020.000

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.005
GPT teacher head0.297
Teacher spread0.292 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it