3 papers
math-ph2026
WKB structure in a scalar model of flat bands
Semyon Dyatlov, Henry Zeng, Maciej Zworski
We consider a family of periodic scalar operators for which one can define flat bands in the sense of Floquet-Bloch theory. One puzzling question originating in recent physics lite…
hep-th2025
Peierls substitution and Hall motion in exotic Carroll dynamics
H. -X. Zeng, Q. -L. Zhao, P. -M. Zhang +1
The particle with first-order dynamics proposed by Dunne, Jackiw and Trugenberger (DJT) to justify the ``Peierls substitution" is obtained by reduction from both of the planar two-…
gr-qc2025
MultiCarroll dynamics
P. -M. Zhang, H-X. Zeng, P. A. Horvathy
Unlike a single Carroll particle, a multiparticle Carroll system can move under suitable conditions, as we demonstrate it explicitly for two particles with a momentum-dependent int…