Interaction-induced phase shifts in graphene Aharonov–Bohm Interferometers: A phenomenological framework consistent with gauge invariance
Physica B: Condensed Matter, vol.739, 2026 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 739
- Publication Date: 2026
- Doi Number: 10.1016/j.physb.2026.418935
- Journal Name: Physica B: Condensed Matter
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Chemical Abstracts Core, Compendex, INSPEC
- Keywords: Aharonov–Bohm effect, Gauge invariance, Graphene, Moiré systems
- Çanakkale Onsekiz Mart University Affiliated: Yes
Abstract
The Aharonov–Bohm (AB) effect is a key example of quantum coherence, where the phase depends only on the enclosed magnetic flux and is protected by gauge invariance. In mesoscopic systems, electron–electron interactions can modify coherence, visibility, and transport, but not the magnetic AB phase. Here, we present a phenomenological framework describing how interactions affect the measured interference phase, rather than renormalizing the magnetic phase. These changes arise from interaction-dependent many-body contributions and are consistent with established theory. We find that interactions lead to small phase shifts (∼10−3 rad) and visibility variations (∼10−3–10−2), while preserving universal flux periodicity. These effects can be tested in graphene interferometers on substrates with different dielectric screening (e.g., SiO2 vs. hBN). Our results show that AB interferometry is a sensitive probe of many-body effects without violating topological constraints.