ﻻ يوجد ملخص باللغة العربية
Off-diagonal Aubry-Andr{e} (AA) model has recently attracted a great deal of attention as they provide condensed matter realization of topological phases. We numerically study a generalized off-diagonal AA model with p-wave superfluid pairing in the presence of both commensurate and incommensurate hopping modulations. The phase diagram as functions of the modulation strength of incommensurate hopping and the strength of the p-wave pairing is obtained by using the multifractal analysis. We show that with the appearance of the p-wave pairing, the system exhibits mobility-edge phases and critical phases with various number of topologically protected zero-energy modes. Predicted topological nature of these exotic phases can be realized in a cold atomic system of incommensurate bichromatic optical lattice with induced p-wave superfluid pairing by using a Raman laser in proximity to a molecular Bose-Einstein condensation.
We study a one-dimensional quasiperiodic system described by the off-diagonal Aubry-Andr{e} model and investigate its phase diagram by using the symmetry and the multifractal analysis. It was shown in a recent work ({it Phys. Rev. B} {bf 93}, 205441
We investigate the nonequilibrium dynamics of the one-dimension Aubry-Andr{e}-Harper model with $p$-wave superconductivity by changing the potential strength with slow and sudden quench. Firstly, we study the slow quench dynamics from localized phase
Using synthetic lattices of laser-coupled atomic momentum modes, we experimentally realize a recently proposed family of nearest-neighbor tight-binding models having quasiperiodic site energy modulation that host an exact mobility edge protected by a
We study a class of off-diagonal quasiperiodic hopping models described by one-dimensional Su-Schrieffer-Heeger chain with quasiperiodic modulations. We unveil a general dual-mapping relation in parameter space of the dimerization strength $lambda$ a
We study a non-Hermitian AA model with the long-range hopping, $1/r^a$, and different choices of the quasi-periodic parameters $beta$ to be the member of the metallic mean family. We find that when the power-law exponent is in the $a<1$ regime, the s