Competing supersolids of Bose-Bose mixtures in a triangular lattice

Abstract

We study the ground state properties of a frustrated two-species mixture of hard-core bosons on a triangular lattice, as a function of tunable amplitudes for tunnelling and interactions. By combining three different methods, a self-consistent cluster mean-field, exact diagonalizations and effective theories, we unravel a very rich and complex phase diagram. More specifically, we discuss the existence of three original mixture supersolids: (i) a commensurate with frozen densities and supersolidity in spin degrees of freedom, in a regime of strong interspecies interactions; and (ii) when this interaction is weaker, two mutually competing incommensurate supersolids. Finally, we show how these phases can be stabilized by a quantum fluctuation enhancement of peculiar insulating parent states.

6 pages, 9 figures

References in corpus (20)

• Strongly correlated 2D quantum phases with cold polar molecules: controlling the shape of the interaction potential
• Supersolid hardcore bosons on the triangular lattice
• Degenerate Bose-Bose mixture in a three-dimensional optical lattice
• Supersolids versus phase separation in two-dimensional lattice bosons
• Absence of supersolidity in solid helium in porous Vycor glass
• Superfluidity of Interacting Bosonic Mixtures in Optical Lattices
• Strong coupling theory of the spinless charges on the triangular lattices: possibility of a new quantum liquid
• Self-consistent slave rotor mean field theory for strongly correlated systems
• Mott-insulator phases of non-locally coupled 1D dipolar Bose gases
• Mixtures of strongly interacting bosons in optical lattices
• Variational wavefunction study of the triangular lattice supersolid
• Supersolidity of cold-atom Bose-Fermi mixtures in optical lattices
• Supersolid phases of dipolar bosons in optical lattices with a staggered flux
• Exotic Superconducting Phases of Ultracold Atom Mixtures on Triangular Lattices
• Emergent Heavy Fermion Behavior at the Wigner-Mott Transition
• Quantum phases of Bose-Bose mixtures on a triangular lattice
• Magnon Supersolid and Anomalous Hysteresis in Spin Dimers on a Triangular Lattice
• Magnetic field-induced transition in a quantum magnet described by the Quantum Dimer Model
• Effective field theories for two-component repulsive bosons on lattice and their phase diagrams
• Complex phases in the doped two-species bosonic Hubbard Model

Cited by in corpus (4)

• Excitonic condensation in systems of strongly correlated electrons
• Phase diagram of the 1/3-filled extended Hubbard model on the Kagome lattice
• Quantum mean-field approximation for lattice quantum models: truncating quantum correlations, and retaining classical ones
• Ferromagnetic phase in the polarized two-species bosonic Hubbard Model