Two-dimensional (2D) transition-metal dichalcogenide superconductors have unique and desirable properties for integration with conventional superconducting circuits. However, fully contact must be made between the 2D material three-dimensional (3D) in order to employ standard microwave drive readout of qubits such Here, we present a method creating zero-resistance contacts NbSe$_2$ 3D aluminum ...

A central focus of Ginzburg-Landau theory is the understanding and characterization vortex configurations. On a bounded domain Ω ⊆ ℝ 2 , global minimizers, critical states in general, corresponding energy functional have been studied thoroughly limit ϵ → 0 where > inverse parameter. notable open problem whether there are solutions equation for any number vortices below h e x ∣ / π external fiel...

Abstract The Landau-Ginzburg-Higgs (LGH) equation explains the ocean engineering models, superconductivity and drift cyclotron waves in radially inhomogeneous plasma for coherent ion-cyclotron waves. In this paper, with a simple modification of Ablowitz-Kaup-Newell-Segur (AKNS) formalism, integrability LGH is proved by deriving Lax pair. Hence that, inverse scattering transformation (IST) appli...

A bstract pair of the 2D non-unitary minimal models M (2 , 5) is known to be equivalent a variant (3 10) model. We discuss RG flow from this model another model, 8). This provides new evidence for its previously proposed Ginzburg-Landau description, which ℤ 2 symmetric theory two scalar fields with cubic interactions. also point out that 8) superconformal diagonal modular invariant. Using 5-loo...

We introduce a model which integrates the complex Ginzburg-Landau equation in two dimensions (2Ds) with the linear-cubic-quintic combination of loss and gain terms, self-defocusing nonlinearity, and a periodic potential. In this system, stable 2D dissipative gap solitons (DGSs) are constructed, both fundamental and vortical ones. The soliton families belong to the first finite band gap of the s...

For a finite abelian group G and a positive integer k, let sk(G) denote the smallest integer l ∈ N such that any sequence S of elements of G of length |S| ≥ l has a zerosum subsequence with length k. The celebrated Erdős-Ginzburg-Ziv theorem determines sn(Cn) = 2n−1 for cyclic groups Cn, while Reiher showed in 2007 that sn(C 2 n) = 4n−3. In this paper we prove for a p-group G with exponent exp(...

We study the oxygen doping dependence of the equilibrium first-order melting and second-order glass transitions of vortices in Bi2Sr2CaCu2O 8+delta. Doping affects both anisotropy and disorder. Anisotropy scaling is shown to collapse the melting lines only where thermal fluctuations are dominant. Yet, in the region where disorder breaks that scaling, the glass lines are still collapsed. A quant...

We present a spatiotemporal mechanism for producing 2D optical rogue waves in the presence of a turbulent state with creation, interaction, and annihilation of optical vortices. Spatially periodic structures with bound phase lose stability to phase unbound turbulent states in complex Ginzburg-Landau and Swift-Hohenberg models with external driving. When the pumping is high and the external driv...

We study a topological string description of the c < 1 non-critical string whose matter part is defined by the time-like linear dilaton CFT. We show that the topologically twisted N = 2 SL(2, R)/U(1) model (or supersymmetric 2D black hole) is equivalent to the c < 1 non-critical string compactified at a specific radius by comparing their physical spectra and correlation functions. We examine an...