A stable Algebraic Spin Liquid in a Hubbard model

Abstract

We show the existence of a stable Algebraic Spin Liquid (ASL) phase in a Hubbard model defined on a honeycomb lattice with spin-dependent hopping that breaks time-reversal symmetry. The effective spin model is the Kitaev model for large on-site repulsion. The gaplessness of the emergent Majorana fermions is protected by the time reversal (TR) invariance of this model. We prove that the effective spin model is TR invariant in the entire Mott phase thus ensuring the stability of the ASL. The model can be physically realized in cold atom systems and we propose experimental signals of the ASL.

Published in PRL

References in corpus (25)

• Anyons in an exactly solved model and beyond
• Spin Liquid State in an Organic Mott Insulator with Triangular Lattice
• Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
• Kitaev-Heisenberg Model on Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides $A_2$IrO${}_3$
• Quantum Orders and Symmetric Spin Liquids
• Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice
• Z_2 Gauge Theory of Electron Fractionalization in Strongly Correlated Systems
• Quantum spin-liquid emerging in two-dimensional correlated Dirac fermions
• Theory of Underdoped Cuprates
• The spectral weight of the Hubbard model through cluster perturbation theory
• Exact results for spin dynamics and fractionization in the Kitaev Model
• Self-energy-functional approach to systems of correlated electrons
• Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice
• Electron spectral function and algebraic spin liquid for the normal state of underdoped high $T_c$ superconductors
• Nature of the spin liquid state of the Hubbard model on honeycomb lattice
• Algebraic spin liquid in an exactly solvable spin model
• Spin-Dependent Hubbard Model and a Quantum Phase Transition in Cold Atoms
• Speckle Imaging of Spin Fluctuations in a Strongly Interacting Fermi Gas
• SU(2) gauge theory of the Hubbard model and application to the honeycomb lattice
• Spin liquids on a honeycomb lattice: Projective Symmetry Group study of Schwinger fermion mean-field theory
• $Z_2$ spin liquid and chiral antiferromagnetic phase in Hubbard model on the honeycomb lattice: duality between Schwinger-fermion and Schwinger-boson representations
• Anyonic Braiding in Optical Lattices
• Power-law spin correlations in a perturbed honeycomb spin model
• Cuprates as doped U(1) spin liquids
• Spin correlations and phase diagram of the perturbed Kitaev model

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• Non-local spin correlation as a signature of Ising anyons trapped in vacancies of the Kitaev spin liquid
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• Phase diagram and topological phases in the triangular lattice Kitaev-Hubbard model
• Generating an effective magnetic lattice for cold atoms
• Quarter-filled Kitaev-Hubbard Model: A Quantum Hall State in an Optical Lattice
• CP and other Symmetries of Symmetries
• Spin waves and stability of zigzag order in the Hubbard model with spin-dependent hopping terms - Application to the honeycomb lattice compounds $\mathrm{N}{\mathrm{a}}_2\mathrm{Ir}{\mathrm{O}}_3$ and $\alpha -\mathrm{RuC}{\mathrm{l}}_3$
• Perturbed Kitaev model: excitation spectrum and long-ranged spin correlations
• Topological transitions in a model with Particle-Hole symmetry, Pancharatnam-Berry Curvature and Dirac Points
• Distinct-symmetry spin liquid states and phase diagram of Kitaev-Hubbard model
• Striped critical spin liquid in a spin-orbital entangled RVB state in a projected entangled-pair state representation
• Phase diagram of the Kitaev-Hubbard model: ${\mathbb{Z}}_2$ slave-spin and QMC approaches
• Long-range spin correlations in a honeycomb spin model with magnetic field
• Emergent Kitaev materials in synthetic Fermi-Hubbard bilayers