43 citations · 107 across the 6 of their papers we have counts for
6 papers
Mobility-Gap Robustness and Středa-Hall Separation in Disordered Axion Pumping
Bryan Leung, Emil Prodan
We show that the noncommutative second Chern number of a D disordered axion pump remains quantized beyond global spectral gap closure at . Large-scale comp…
Sources of quantized excitations via dichotomic topological cycles
Bryan Leung, Emil Prodan
We demonstrate the existence of a conceptually distinct topological pumping phenomenon in one-dimensional chains undergoing topological adiabatic cycles. Specifically, for a stack…
Bulk-Boundary Correspondence for Topological Insulators with Quantized Magneto-Electric Effect
Bryan Leung, Emil Prodan
We study bulk-boundary correspondences and related surface phenomena stabilized by the second Chern number in three-dimensional insulators driven in adiabatic cycles. Magnetic fiel…
The non-commutative n-th Chern number
Emil Prodan, Bryan Leung, Jean Bellissard
The theory of the higher Chern numbers in the presence of strong disorder is developed. Sharp quantization and homotopy invariance conditions are provided. The relevance of the res…
A Non-Commutative Formula for the Isotropic Magneto-Electric Response
Bryan Leung, Emil Prodan
A non-commutative formula for the isotropic magneto-electric response of disordered insulators under magnetic fields is derived using the methods of non-commutative geometry. Our r…
Effect of Strong Disorder in a 3-Dimensional Topological Insulator: Phase Diagram and Maps of the Z2 Invariant
Bryan Leung, Emil Prodan
We study the effect of strong disorder in a 3-dimensional topological insulators with time-reversal symmetry and broken inversion symmetry. Firstly, using level statistics analysis…