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(a-b) The magnitude of the components of the pairing potential |∆j,x| and |∆j,y|, (c) the particle density, (d) the low energy quasiparticle bands for the skyrmion lattice solution with U = 4.05 and µ = −3.4. Panels (e)-(h) show the same but for the vortex lattice solution with U = 5.25 and µ = −3.8. Panels (i)-(l) show the same but for the dimer lattice solution with U = 5 and µ = −3.8. The red dashed lines denote the boundary of the MUC.
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An interplay between pairing and topological orders has been predicted to give rise to superconducting states supporting exotic emergent particles, such as Majorana particles obeying non-Abelian braid statistics. We consider a system of spinless electrons on a Hofstadter lattice with nearest neighbor attractive interaction, and solve the mean-field...
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Context 1
... domain wall [41,43,45,46,48,49]. As shown below, these configurations have a skyrmionic texture in a suitable pseudospin representation and carry a non-zero topological charge. The magnitudes of the two components of the order parameter, |∆ j,x | and |∆ j,y |, the particle density, and the low energy BdG quasiparticle band structure are shown in Fig. 3 Note that the discontinuous changes in the spatially averaged pairing potential and the average density at the (first order) phase transition are too small to be visible in the plots; for example, for µ = −3.6, at the vortex lattice -skyrmion lattice phase boundary, the former is 0.006 (reflecting a 4% change in the magnitude) and the ...
Context 2
... magnitudes of the two components of the order parameter, |∆ j,x | and |∆ j,y |, the particle density, and the low energy BdG quasiparticle band structure for the vortex lattice phase are shown in Fig. 3 (e)-(h). The vortices in each component occur at the same location and form a square lattice. Note that the "total gap" |∆ j,x | 2 + |∆ j,y | 2 almost vanishes at the locations of the vortices. The vortex lattice phase has a low-energy band structure (shown in (h)) which is consistent with the findings of previous studies of Majorana bands ...