We review recent developments in the research of nonlinear and nonequilibrium phenomena solids focusing on their geometrical aspects. start with introducing basic concepts phases Bloch electrons Floquet theory for periodically driven systems. Then we attempts to engineer topological matters such as graphene, magnets, superconductors irradiated circularly polarized light. next a bulk photovoltai...

Hosik Lee,1 Young-Woo Son,1 Noejung Park,2 Seungwu Han,3 and Jaejun Yu1,* 1School of Physics and Center for Strongly Correlated Materials Research, Seoul National University, Seoul 151-747, Korea 2Department of Applied Physics, Dankook University, Seoul 140-714, Korea 3Department of Physics, Ewha Womans University, Seoul 120-750, Korea Received 23 May 2005; revised manuscript received 14 Septem...

A model of a hard oscillator with analytic solution is presented. Its behavior under periodic kicking, for which a closed form stroboscopic map can be obtained, is studied. It is shown that the general structure of such an oscillator includes four distinct regions; the outer two regions correspond to very small or very large amplitude of the external force and match the corresponding regions in...

We introduce unique class of cyclic quantum thermal machines (QTMs) which can maximize their performance at the finite value cycle duration $\tau$ where they are most irreversible. These QTMs based on single-stroke thermodynamic cycles realized by non-equilibrium steady state (NESS) so-called Periodically Refreshed Baths (PReB) process. find that such interpolate between standard collisional QT...

Ferroelectric crystals are important materials in many kinds of applications. Since the invention of so called quasi-phase matching technique, periodically domain-inverted ferroelectrics crystals with modulated second order nonlinear susceptibility are widely used in frequency conversion application. In periodically domain-inverted ferroelectrics crystals, besides the nonlinear optical coeffici...