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Abstract: We consider the possibility of topological quantum phase transitions ofultracold fermions in optical lattices, which can be studied as a function ofinteraction strength or atomic filling factor density. The phase transitionsare connected to the topology of the elementary excitation spectrum, and occuronly for non-zero angular momentum pairing p-wave, d-wave and f-wave, whilethey are absent for s-wave. We construct phase diagrams for the specificexample of highly anisotropic optical lattices, where the proposed topologicalphase transitions are most pronounced. To characterize the existence of thesetopological transitions, we calculate several measurable quantities includingmomentum distribution, quasi-particle excitation spectrum, atomiccompressibility, superfluid density, and sound velocities.



Author: R. W. Cherng, C. A. R. Sá de Melo

Source: https://arxiv.org/



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