Manmana, Salvatore R.Möller, MarcelGezzi, RiccardoHazzard, Kaden R.A.2017-11-172017-11-172017Manmana, Salvatore R., Möller, Marcel, Gezzi, Riccardo, et al.. "Correlations and enlarged superconducting phase of t−J⊥ chains of ultracold molecules on optical lattices." <i>Physical Review A,</i> 96, no. 4 (2017) American Physical Society: https://doi.org/10.1103/PhysRevA.96.043618.https://hdl.handle.net/1911/98836We compute physical properties across the phase diagram of the t−J⊥ chain with long-range dipolar interactions, which describe ultracold polar molecules on optical lattices. Our results obtained by the density-matrix renormalization group indicate that superconductivity is enhanced when the Ising component Jz of the spin-spin interaction and the charge component V are tuned to zero and even further by the long-range dipolar interactions. At low densities, a substantially larger spin gap is obtained. We provide evidence that long-range interactions lead to algebraically decaying correlation functions despite the presence of a gap. Although this has recently been observed in other long-range interacting spin and fermion models, the correlations in our case have the peculiar property of having a small and continuously varying exponent. We construct simple analytic models and arguments to understand the most salient features.engArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.Journal articlePhysRevA-96-043618https://doi.org/10.1103/PhysRevA.96.043618