Spin-Induced Orbital Frustration in a Hexagonal Optical Lattice

Abstract

Complex lattices provide a versatile ground for fascinating quantum many-body physics. Here, we propose an exotic mechanics for generating orbital frustration in hexagonal lattices. We study two-component (pseudospin-$1/2$) Bose gases in $p$-orbital bands of two-dimensional hexagonal lattices, and find that the system exhibits previously untouched orbital frustration as a result of the interplay of spin and orbital degrees of freedom, in contrast to normal Ising-type orbital ordering of spinless $p$-orbital band bosons in two-dimensional hexagonal lattices. Based on the classification by symmetry analysis, we find the interplay of orbital frustration and strong interaction leads to exotic Mott and superfluid phases with spin-orbital intertwined orders, in spite of the complete absence of spin-orbital interaction in the Hamiltonian. Our study implies many-body correlations in a multi-orbital setting could induce rich spin-orbital intertwined physics in complex lattice structures.

arXiv comment6 pages, 4 figures, with supplementary materials

References in corpus (46)

• Many-Body Physics with Ultracold Gases
• Feshbach Resonances in Ultracold Gases
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Artificial gauge potentials for neutral atoms
• Light-induced gauge fields for ultracold atoms
• Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
• Theory of Intertwined Orders in High Temperature Superconductors
• Production of cold molecules via magnetically tunable Feshbach resonances
• Topological Bands for Ultracold Atoms
• Quantum simulation of frustrated magnetism in triangular optical lattices
• Flat bands and Wigner crystallization in the honeycomb optical lattice
• Colloquium: Artificial spin ice: Designing and imaging magnetic frustration
• Non-standard Hubbard models in optical lattices: a review
• Phase diagram of two-component bosons on an optical lattice
• Orbital superfluidity in the $P$-band of a bipartite optical square lattice
• The $p_{x,y}$-orbital counterpart of graphene: cold atoms in the honeycomb optical lattice
• Orbital analogue of quantum anomalous Hall effect in $p$-band systems
• Atomic matter of non-zero momentum Bose-Einstein condensation and orbital current order
• Orbital ordering and frustration of $p$-band Mott-insulators
• Magnetic phases of two-component ultracold bosons in an optical lattice
• Physics of higher orbital bands in optical lattices: a review
• Correlated bosons on a lattice: Dynamical mean-field theory for Bose-Einstein condensed and normal phases
• Unconventional Bose-Einstein Condensations Beyond the "No-node" Theorem
• Orbital order in Mott insulators of spinless p-band fermions
• Universal Signatures of Fractionalized Quantum Critical Points
• Dynamical mean field solution of the Bose-Hubbard model
• Proposed realization of itinerant ferromagnetism in optical lattices
• Lattice supersolid phase of strongly correlated bosons in an optical cavity
• Prediction of quantum stripe ordering in optical lattices
• Unconventional strongly interacting Bose-Einstein condensates in optical lattices
• Dirac and Chiral Quantum Spin Liquids on the Honeycomb Lattice in a Magnetic Field
• Interaction-induced chiral p_x \pm i p_y superfluid order of bosons in an optical lattice
• Observing Chiral Superfluid Order by Matter-Wave Interference
• Chiral Bosonic Phases on the Haldane Honeycomb Lattice
• Evidence of Potts-Nematic Superfluidity in a Hexagonal $s{p}^2$ Optical Lattice
• Observation of a dynamical sliding phase superfluid with P-band bosons
• Chiral Induced Spin Selectivity as a Spontaneous Intertwined Order
• Tunable anisotropic magnetism in trapped two-component Bose gases
• $F$-wave pairing of cold atoms in optical lattices
• Exotic phases of interacting p-band bosons
• Pomeranchuk effect and spin-gradient cooling of Bose-Bose mixtures in an optical lattice
• Emergent Chiral Spin State in the Mott Phase of a Bosonic Kane-Mele-Hubbard Model
• Bose-Bose Mixtures with Synthetic Spin-Orbit Coupling in Optical Lattices
• Magnetic phase transitions of spin-1 ultracold bosons in a cubic optical lattice
• Rotation-symmetry-enforced coupling of spin and angular momentum for p-orbital bosons
• Chiral orbital magnetism of $p$-orbital bosons in optical lattices

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