We show that the local in-gap Green's function of a band insulator G 0 (ε, k∥, r⊥= 0), with
r⊥ the position perpendicular to a codimension-1 or codimension-2 impurity, reveals the …

We present an overview of the statistical properties of turbulence in two-dimensional (2D)
fluids. After a brief recapitulation of well-known results for statistically homogeneous and …

Despite the prominence of Onsager's point-vortex model as a statistical description of 2D
classical turbulence, a first-principles development of the model for a realistic superfluid has …

An inverse turbulent cascade in a restricted two-dimensional periodic domain creates a
condensate—a pair of coherent system-size vortices. We perform extensive numerical …

We examine the steady state of turbulent flows in thin layers using direct numerical
simulations. It is shown that when the layer thickness is smaller than a critical height, an …

Two-dimensional (2D) turbulence features an inverse energy cascade that produces large-
scale flow structures such as large-scale vortices (LSVs) and unidirectional jets. We …

Instabilities of fluid flows often generate turbulence. Using extensive direct numerical
simulations, we study two-dimensional turbulence driven by a wavenumber-localised …

We study structure formation in two-dimensional turbulence driven by an external force,
interpolating between linear instability forcing and random stirring, subject to nonlinear …

We analyze the topological transition and localization evolution of disordered two-
dimensional systems with nontrivial topology based on bipartite lattices. Chern insulators …

We demonstrate that relativistic conformal hydrodynamics in 2+ 1 dimensions displays a
turbulent behavior which cascades energy to longer wavelengths on both flat and spherical …