Anomaly-Induced Boundary Noise in 2D Dirac Systems: A Testable NV-Center Signature from Stochastic Chirality Inflow

Overview This work proposes a testable physical mechanism linking axial anomaly inflow to measurable magnetic noise at the boundary of two-dimensional Dirac systems. While the axial anomaly is a well-established concept in quantum field theory, its direct experimental signature at the boundary level remains elusive. This study introduces a minimal phenomenological framework in which continuous anomaly-driven chirality inflow is converted into stochastic discrete transitions, producing a distinctive noise signal. Key Idea In the presence of a strong magnetic field, boundary states in the lowest Landau level (LLL) are highly constrained. When anomaly-induced chirality inflow exceeds the system’s ability to relax continuously, it is resolved through discrete stochastic “flip” events. These events generate: A narrowband Lorentzian peak in the magnetic noise spectrum A characteristic frequency locking to the cyclotron frequency A unique antisymmetric response under magnetic field reversal This transforms anomaly physics from an abstract theoretical construct into a directly measurable observable. Experimental Relevance The predicted signal lies within the sensitivity of modern NV-center magnetometry, enabling: Nanoscale detection of magnetic noise Spectral measurement via T₁ relaxation Direct discrimination from thermal noise through field-reversal asymmetry This provides a practical experimental protocol using currently available technology. Scientific Contribution This work contributes by: Establishing a direct anomaly → observable (noise) mapping Introducing a stochastic boundary dynamics model for anomaly inflow Providing a clear, falsifiable experimental prediction Bridging quantum field theory, condensed matter physics, and quantum sensing Scope and Limitations This is a phenomenological model, not a first-principles QFT derivation The microscopic origin of the flip rate remains an open problem The framework is designed to be experimentally falsifiable Keywords Axial anomaly, anomaly inflow, quantum noise, magnetic noise, stochastic processes, Landau level, Dirac systems, NV-center magnetometry, quantum sensing, boundary dynamics, topological effects, nonequilibrium physics Suggested Citation Kim, D. (2026). Anomaly-Induced Boundary Noise in 2D Dirac Systems: A Testable NV-Center Signature from Stochastic Chirality Inflow. Zenodo. License Recommended: Creative Commons Attribution 4. 0 International (CC BY 4. 0) Notes If the predicted narrowband noise signature is experimentally observed, it would provide one of the first direct boundary-level signatures of anomaly inflow, opening a new avenue for probing topological quantum phenomena via noise spectroscopy.