Non-Hermitian higher-order topological superconductors in two dimensions: Statics and dynamics

AK Ghosh, T Nag - Physical Review B, 2022 - APS
Being motivated by intriguing phenomena, such as the breakdown of conventional bulk
boundary correspondence and the emergence of skin modes in the context of non-Hermitian …

Driving-induced multiple -symmetry breaking transitions and reentrant localization transitions in non-Hermitian Floquet quasicrystals

L Zhou, W Han - Physical Review B, 2022 - APS
The cooperation between time-periodic driving fields and non-Hermitian effects could
endow systems with distinctive spectral and transport properties. In this paper, we uncover …

Systematic generation of the cascade of anomalous dynamical first-and higher-order modes in Floquet topological insulators

AK Ghosh, T Nag, A Saha - Physical Review B, 2022 - APS
After extensive investigation of the Floquet second-order topological insulator (FSOTI) in two
dimensions, here we propose two driving schemes to systematically engineer the hierarchy …

Topological invariants for anomalous floquet higher-order topological insulators

B Huang - Frontiers of Physics, 2023 - Springer
We review the recent development in constructing higher-order topological band insulators
under strong periodic drivings. In particular, we focus on various approaches in formulating …

Topological space-time crystal

Y Peng - Physical Review Letters, 2022 - APS
We introduce a new class of out-of-equilibrium noninteracting topological phases: the
topological space-time crystals. These are time-dependent quantum systems that do not …

Space-time symmetry and nonreciprocal parametric resonance in mechanical systems

A Melkani, J Paulose - Physical Review E, 2024 - APS
Linear mechanical systems with time-modulated parameters can harbor oscillations with
amplitudes that grow or decay exponentially with time due to the phenomenon of parametric …

Dynamical construction of quadrupolar and octupolar topological superconductors

AK Ghosh, T Nag, A Saha - Physical Review B, 2022 - APS
We propose a three-step periodic drive protocol to engineer two-dimensional (2D) Floquet
quadrupole superconductors and three-dimensional (3D) Floquet octupole superconductors …

Floquet second-order topological Anderson insulator hosting corner localized modes

AK Ghosh, T Nag, A Saha - Physical Review B, 2024 - APS
The presence of random disorder in a metallic system accounts for the localization of
extended states in general. On the contrary, the presence of disorder can induce topological …

Floquet higher-order Weyl and nexus semimetals

W Zhu, M Umer, J Gong - Physical Review Research, 2021 - APS
This work reports the general design and characterization of two exotic, anomalous
nonequilibrium gapless topological phases. In equilibrium systems, the Weyl nodes or the …

Dynamic bulk-boundary correspondence for anomalous Floquet topology

DD Vu - Physical Review B, 2022 - APS
Periodically driven systems with internal and spatial symmetries can exhibit a variety of
anomalous boundary behaviors at both the zero and π quasienergies despite the trivial bulk …