Effect of mediated interactions on a Hubbard chain in mixed-dimensional fermionic cold atoms
Campbell, David K.
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Citation (published version)Junichi Okamoto, Wen-Min Huang, Kyle Irwin, David K Campbell, Shan-Wen Tsai. "Effect of mediated interactions on a Hubbard chain in mixed-dimensional fermionic cold atoms." Physical Review Research, Volume 2, Issue 3, https://doi.org/10.1103/physrevresearch.2.033054
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 nonlocal 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 limit and ignoring the retardation effect, we show that the one-dimensional fermions can be controlled to be in various density-wave, or spin-singlet or spin-triplet superconducting phases.
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