Stripes, spin resonance and d_(x²-y²)-pairing symmetry in FeSe-based layered superconductors

We calculate RPA-BCS based spin resonance spectra of newly discovered iron-selenide superconductor using two orbitals tight-binding (TB) model. The slightly squarish electron pocket Fermi surfaces (FSs) at $(\pi,0)/(0,\pi)-$momenta produce leading interpocket nesting instability at incommensurate vector $q\sim(\pi,0.5\pi)$ in the normal state static susceptibility, pinning a strong stripe-like spin-density wave (SDW) or antiferromagnetic (AFM) order at some critical value of $U$. The same nesting also induces $d_{x^2-y^2}-$pairing. The superconducting (SC) gap is nodeless and isotropic on the FSs as they are concentric to the four-fold symmetry point of the $d-$wave gap maxima, in agreement with various measurements. This induces an slightly incommensurate spin resonance with `hour-glass'-like dispersion feature, in close agreement with neutron data of chalcogenides. We also calculate $T$ pendence of the SC gap solving BCS gap equations and find that the spin resonance follows the same $T$ evolution of $\Delta(T)$ both in energy and intensity, suggesting that an itinerant weak or intermediate pair coupling theory is relevant in this system.