Topological supersolidity of dipolar Fermi gases in a spin-dependent optical lattice

Abstract

We investigate topological supersolidity of dipolar Fermi gases in a spin-dependent 2D optical lattice. Numerical results show that the topological supersolid states can be synthesized via the combination of topological superfluid states with the stripe order, where the topological superfluid states generated with dipolar interaction possess the ∆x + i∆y order, and it is of D class topological classification. By adjusting the ratio between hopping amplitude tx/ty and interaction strength U with dipole orientation φ ≈ π 4 , the system will undergo phase transitions among the px + ipy-wave topological superfluid state, the p-wave superfluid state, and the topological supersolid state. The topological supersolid state is proved to be stable by the positive sign of the inverse compressibility. We design an experimental protocol to realize the staggered next-next-nearest-neighbor hopping via the laser assisted tunneling technique, which is the key to synthesize topological supersolid states.

Topology of a parity–time symmetric non-Hermitian rhombic lattice

“…Topological systems are of great significance in the condensed-matter physics. [48][49][50][51][52][53][54][55][56][57][58][59][60][61][62][63][64][65][66] The researches on non-Hermitian Su-Schrieffer-Heeger (SSH) chain, Chern insulator, and nodal-line semimetals have received great interests. [67][68][69][70][71][72][73][74][75] As the progress on optical realization of the topological systems, the field of topological photonics has been stimulated.…”

Novel topological end modes and breaking of bulk boundary correspondence in skin-effect absent superconductive chain

“…Topological nontrivial systems feature isolated gapless edge modes [1][2][3][4][5][6] , and play a key role in advancing our understanding of quantum matter [7][8][9][10][11][12][13][14][15][16][17][18] . A most profound way to characterize edge modes above is through bulk topological invariants, which is known as bulk boundary correspondence [19][20][21][22][23] .…”