Fermion pairing in mixed-dimensional atomic mixtures

Abstract

We investigate the quantum phases of mixed-dimensional cold atom mixtures. In particular, we consider a mixture of a Fermi gas in a two-dimensional lattice, interacting with a bulk Fermi gas or a Bose-Einstein condensate in a three-dimensional lattice. The effective interaction of the two-dimensional system mediated by the bulk system is determined. We perform a functional renormalization group analysis, and demonstrate that by tuning the properties of the bulk system, a subtle competition of several superconducting orders can be controlled among $s$-wave, $p$-wave, $d_{x^2-y^2}$-wave, and $g_{xy(x^2-y^2)}$-wave pairing symmetries. Other instabilities such as a charge-density wave order are also demonstrated to occur. In particular, we find that the critical temperature of the $d$-wave pairing induced by the next-nearest-neighbor interactions can be an order of magnitude larger than that of the same pairing induced by doping in the simple Hubbard model. We expect that by combining the nearest-neighbor interaction with the next-nearest-neighbor hopping (known to enhance $d$-wave pairing), an even higher critical temperature may be achieved.

10 pages, 10 figures

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Cited by in corpus (9)

• Induced $p$-wave pairing in Bose-Fermi mixtures
• Interactions mediated by atoms, photons, electrons, and excitons
• Enhanced visibility of the Fulde-Ferrell-Larkin-Ovchinnikov state in one dimensional Bose-Fermi mixtures near the immiscibility point
• A mixed dimensional Bose polaron
• Tunable boson-assisted finite-range interaction and engineering Majorana corner modes in optical lattices
• Anomalous Quasiparticle Reflection from the Surface of a ${}^3$He-${}^4$He Dilute Solution
• Effective p-wave Fermi-Fermi Interaction Induced by Bosonic Superfluids
• Weak three-dimensional mediators of two-dimensional triplet pairing
• Effect of mediated interactions on a Hubbard chain in mixed-dimensional fermionic cold atoms