Topological d-wave superconductor

Topological phase diagram and saddle point singularity in a tunable topological crystalline insulator

“…Furthermore, we explore the robustness of the TCI phase with VHS in Pb 1−x Sn x Se, which shows a variety of distinct topological phase transitions driven by either thermal instability or broken crystalline symmetry, and thus revealing a rich topological phase diagram in Pb 1−x Sn x Se material which was previously unknown. Our observation of a saddle point singularity on the topological surface of Pb 0.70 Sn 0.30 Se opens the door for testing the interplay between topological order and strong electron-electron correlation phenomena, which can potentially host exotic superconductivity [16], topological Kondo insulator [17], and other correlated topological phases [18,19].…”

New Rogue Wave Solutions of (1+2)-Dimensional Non-Isospectral KP-II Equation

“…The lump solutions for KP-II equation have been obtained by binary Darboux transformation [30−31] and inverse scattering method. [32] The multipole lump solutions for KP-II equation have been studied by inverse scattering method, [33−34] bilinear method [35] and binary Darboux transformation. [36] It is well known that the non-isospectral integrable system is an important aspect in the integrable system.…”

The Vortex Core Excitation Spectrum in Gapped Topological d-wave Superconductors

“…Balatsky [11] pointed out that, in the presence of magnetic impurities, the d x 2 −y 2 superconductor can exhibit a transition exactly into the d + id state due to a coupling between the impurity magnetization and the d xy component of the order parameter. Topologically nontrivial superconducting state of two-dimensional electron system was discussed by Kopaev et al [12] in connection with the problem of pairing with large center-of-mass pair momentum under predominant repulsive screened Coulomb interaction. Direct numerical solution of the self-consistency equation exhibits two nearly degenerate order parameters d x 2 −y 2 and d xy .…”