2 papers
cond-mat.mes-hall2023
Hofstadter quasicrystals, hidden symmetries and irrational quantum oscillations
Kirill Kozlov, Grigor Adamyan, Mariia Kryvoruchko +2
Landau levels perturbed by a periodic potential is a prime setting to design quantum systems with exotic fractal spectra. Motivated by recent advances in twistronics, we introduce…
math-ph2023
Geometric phase for nonlinear oscillators from perturbative renormalization group
D. A. Khromov, M. S. Kryvoruchko, D. A. Pesin
We formulate a renormalization group approach to a general nonlinear oscillator problem. The approach is based on the exact group law obeyed by solutions of the corresponding ordin…