Correlations and enlarged superconducting phase of $t$-$J_{\perp }$ chains of ultracold molecules on optical lattices

Abstract

We compute physical properties across the phase diagram of the $t$-$J_{\perp }$ chain with long-range dipolar interactions, which describe ultracold polar molecules on optical lattices. Our results obtained by the density-matrix renormalization group (DMRG) indicate that superconductivity is enhanced when the Ising component $J_z$ 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.

arXiv commentpublished version with minor modifications

References in corpus (48)

• Many-Body Physics with Ultracold Gases
• The density-matrix renormalization group in the age of matrix product states
• The density-matrix renormalization group
• Correlated Electrons in High Temperature Superconductors
• A High Phase-Space-Density Gas of Polar Molecules
• Cold and Ultracold Molecules: Science, Technology, and Applications
• One-Dimensional Fermi liquids
• A toolbox for lattice spin models with polar molecules
• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Realizing a lattice spin model with polar molecules
• Quantum-State Controlled Chemical Reactions of Ultracold KRb Molecules
• Formation of ultracold polar molecules in the rovibrational ground state
• Spectral Gap and Exponential Decay of Correlations
• Dipolar collisions of polar molecules in the quantum regime
• Ultracold dense samples of dipolar RbCs molecules in the rovibrational and hyperfine ground state
• Optical Production of Ultracold Polar Molecules
• Ultracold Dipolar Gas of Fermionic ${}^{23}$Na${}^{40}$K Molecules in their Absolute Ground State
• Creation of ultracold ${}^{87}$RbCs molecules in the rovibrational ground state
• Controlling the quantum stereodynamics of ultracold bimolecular reactions
• Ultracold Molecules in the Ro-Vibrational Triplet Ground State
• Creation of an ultracold gas of ground-state ${}^{23}{\mathrm{Na}}^{87}\mathrm{Rb}$ molecules
• Tunable Superfluidity and Quantum Magnetism with Ultracold Polar Molecules
• Manipulation of Molecules with Electromagnetic Fields
• Controlling the hyperfine state of rovibronic ground-state polar molecules
• Long-lived dipolar molecules and Feshbach molecules in a 3D optical lattice
• Kitaev chains with long-range pairing
• Many-body dynamics of dipolar molecules in an optical lattice
• Quantum Magnetism with Polar Alkali Dimers
• Effective Spin Quantum Phases in Systems of Trapped Ions
• Suppressing the loss of ultracold molecules via the continuous quantum Zeno effect
• Statistical Aspects of Ultracold Resonant Scattering
• Dynamical crystal creation with polar molecules or Rydberg atoms in optical lattices
• Topological phases in ultracold polar-molecule quantum magnets
• Far from equilibrium quantum magnetism with ultracold polar molecules
• Strongly interacting ultracold polar molecules
• Tomonaga-Luttinger parameters for doped Mott insulators
• Coherent Microwave Control of Ultracold ${}^{23}$Na${}^{40}$K Molecules
• Quantum states on Harmonic lattices
• Kitaev honeycomb and other exotic spin models with polar molecules
• Designing spin-1 lattice models using polar molecules
• Ground-State Phase Diagram of the 1D t-J model
• Quantum Phase Diagram of the t-Jz Chain Model
• Phase diagram and continuous pair-unbinding transition of the bilinear-biquadratic S=1 Heisenberg chain in a magnetic field
• Spin Gap and Superconductivity in the One-Dimensional t-J Model with Coulomb Repulsion
• Ultracold nonreactive molecules in an optical lattice: connecting chemistry to many-body physics
• Frustration induced plateaux in S>=1/2 Heisenberg spin ladders
• Microscopic derivation of multi-channel Hubbard models for ultracold nonreactive molecules in an optical lattice
• Lattice model parameters for ultracold nonreactive molecules: chaotic scattering and its limitations

Cited by in corpus (12)

• Quantum control of molecular rotation
• Synthetic dimensions in ultracold molecules: quantum strings and membranes
• Detecting superconductivity out-of-equilibrium
• Phase diagram of the quantum Ising model with long-range interactions on an infinite-cylinder triangular lattice
• Strings of ultracold molecules in a synthetic dimension
• Interaction induced fractionalization and topological superconductivity in the polar molecules anisotropic $t-J$ model
• Spin and density self-ordering in dynamic polarization gradients fields
• Lifshitz transition in the phase diagram of two-leg $t$-$J$ ladder systems at low filling
• Asymptotic behavior of correlation functions of one-dimensional polar-molecules on optical lattices
• Phase diagram of the SU$(3)$ Fermi-Hubbard model with next-neighbor interactions
• Suppression of the horizon effect in pairing correlation functions of $t$-$J$ chains after a quantum quench
• Metastable ferromagnetic clusters in dissipative many-body systems of polar molecules