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arXiv · 2004.13387

Effect of mediated interactions on a Hubbard chain in mixed-dimensional fermionic cold atoms

Junichi Okamoto·Wen-Min Huang·Kyle Irwin·David K. Campbell·Shan-Wen Tsai
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Abstract

Cold atom experiments can now realize mixtures where different components move in different spatial dimensions. We investigate a fermion mixture where one species is constrained to move along a one-dimensional lattice embedded in a two-dimensional lattice populated by another species of fermions, and where all bare interactions are contact interactions. By focusing on the one-dimensional fermions, we map this problem onto a model of fermions with non-local interactions on a chain. The effective interaction is mediated by the two-dimensional fermions and is both attractive and retarded, the form of which can be varied by changing the density of the two-dimensional fermions. By using the functional renormalization group in the weak-coupling and adiabatic limit, we show that the one-dimensional fermions can be controlled to be in various density-wave, or spin-singlet or triplet superconducting phases.

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Junichi Okamoto, Wen-Min Huang, Kyle Irwin, David K. Campbell, Shan-Wen Tsai. 2020-04-28. Effect of mediated interactions on a Hubbard chain in mixed-dimensional fermionic cold atoms. https://doi.org/10.1103/physrevresearch.2.033054

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