Competing phases and intertwined orders in coupled wires near the self-dual point
arXiv:2307.13169 · doi:10.1103/PhysRevB.108.245138
Abstract
The interplay between different quantum phases plays an important role in strongly correlated systems, such as high- cuprates, quantum spin systems, and ultracold atoms. In particular, the application of effective field theory model and renormalization group analysis suggested that the coexistence of density wave (DW) and superfluid (SF) orders can lead to a supersolid phase of ultracold bosons. Here we revisit the problem by considering weakly coupled wires, where we treat the intra-wire interactions exactly via bosonization and inter-wire couplings using a mean-field theory which becomes asymptotically exact in the limit of high dimensionality. We obtain and solve the mean-field equations for the system near the self-dual point, where each wire has the Luttinger parameter and the inter-wire DW and SF coupling strengths are identical. This allows us to find explicit solutions for the possible supersolid order. An energy comparison between different possible solutions shows that the supersolid order is energetically unfavorable at zero temperature. This suggests that the density wave and superfluid phases are connected by a first order transition near the self-dual point. We also discuss the relation between our work and the intertwining of charge density wave and superconducting orders in cuprates.
Accepted version by PRB. A new appendix is added
References in corpus (19)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Theory of Intertwined Orders in High Temperature Superconductors
- Observation of the supersolid stripe phase in spin-orbit coupled Bose-Einstein condensates
- Supersolid formation in a quantum gas breaking continuous translational symmetry
- Transient supersolid properties in an array of dipolar quantum droplets
- Long-lived and transient supersolid behaviors in dipolar quantum gases
- Low Temperature Shear Modulus Changes in Solid 4-He and Connection to Supersolidity
- Order by disorder and spiral spin liquid in frustrated diamond lattice antiferromagnets
- A superfluid-droplet crystal and a free-space supersolid in a dipole-blockaded gas
- Ring exchanges and the supersolid phase of 4He
- What makes a crystal supersolid ?
- Evidence for a Superglass State in Solid 4He
- Birth, life, and death of a dipolar supersolid
- Supersolidity in Two-Dimensional Trapped Dipolar Droplet Arrays
- A Gross-Pitaevskii Treatment for Supersolid He
- Supersolid phases of cold atom assemblies
- Bose Fluids Above Tc: Incompressible Vortex Fluids and "Supersolidity"
- Ginsburg-Landau theory of supersolid
- Charge-Density-Wave and Superconductor Competition in Stripe Phases of High Temperature Superconductors