Electrons interacting with Goldstone modes and the rotating frame
Physical Review B American Physical Society (APS) 109:4 (2024) 045155
Infinite-memory classical wave-particle entities, attractor-driven active particles, and the diffusionless Lorenz equations
Chaos An Interdisciplinary Journal of Nonlinear Science AIP Publishing 34:1 (2024) 013133
The network model and the integer quantum Hall effect
Chapter in Encyclopedia of Condensed Matter Physics, (2024) V1:567-V1:574
Abstract:
We review the network model for the integer quantum Hall effect. The model provides a simplified description of Anderson localization in this context. It represents non-interacting electrons moving in two dimensions under the combined influence of a strong magnetic field and a smooth disordered potential. In this setting, electron eigenstates form disorder-broadened Landau levels and their character varies with energy across the Landau level. States in both the low-energy and the high-energy tails of the Landau level are localized, with a spatial extent characterized by the localization length. At the center of the Landau level there is a transition between phases with different quantized values of the Hall conductance and the localization length is divergent. The network model captures universal features of this transition.Bifurcations in Inertial Focusing of a Particle Suspended in Flow Through Curved Rectangular Ducts
Springer Proceedings in Mathematics & Statistics Springer Nature 454 (2024) 667-683
Coarse-grained modeling of DNA-RNA hybrids
JOURNAL OF CHEMICAL PHYSICS 160:11 (2024) ARTN 115101