Okamoto, JunichiHuang, Wen-MinIrwin, KyleCampbell, David K.Tsai, Shan-Wen2021-01-272021-01-272020-07-10Junichi 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.2.0330542643-1564https://hdl.handle.net/2144/41920Cold 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.en-USPublished by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.http://creativecommons.org/licenses/by/4.0/Charge density wavesCold gases in optical latticesFermi gasesPairing mechanismsSpin density wavesMixtures of atomic and/or molecular quantum gasesArticle10.1103/physrevresearch.2.0330540000-0002-4502-5629 (Campbell, David K)555237