Chiral spin liquids in triangular lattice SU(N) fermionic Mott insulators with artificial gauge fields

Abstract

We show that, in the presence of a $\pi /2$ artificial gauge field per plaquette, Mott insulating phases of ultra-cold fermions with $SU(N)$ symmetry and one particle per site generically possess an extended chiral phase with intrinsic topological order characterized by a multiplet of $N$ low-lying singlet excitations for periodic boundary conditions, and by chiral edge states described by the $SU(N{)}_1$ Wess-Zumino-Novikov-Witten conformal field theory for open boundary conditions. This has been achieved by extensive exact diagonalizations for $N$ between $3$ and $9$, and by a parton construction based on a set of $N$ Gutzwiller projected fermionic wave-functions with flux $\pi /N$ per triangular plaquette. Experimental implications are briefly discussed.

5+2 pages, 4 figures, 2 tables

References in corpus (23)

• Non-Abelian Anyons and Topological Quantum Computation
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• A one-dimensional liquid of fermions with tunable spin
• Spectroscopic observation of SU(N)-symmetric interactions in Sr orbital magnetism
• Observation of two-orbital spin-exchange interactions with ultracold SU(N)-symmetric fermions
• An SU(N) Mott insulator of an atomic Fermi gas realized by large-spin Pomeranchuk cooling
• Ultracold Fermi Gases with Emergent SU(N) Symmetry
• Ultracold fermions and the SU(N) Hubbard model
• Ultracold Gases of Ytterbium: Ferromagnetism and Mott States in an SU(6) Fermi System
• The quadrupolar phases of the S=1 bilinear-biquadratic Heisenberg model on the triangular lattice
• Mott Insulators of Ultracold Fermionic Alkaline Earth Atoms: Underconstrained Magnetism and Chiral Spin Liquid
• Spin-orbital quantum liquid on the honeycomb lattice
• Direct probing of the Mott crossover in the SU($N$) Fermi-Hubbard model
• Spin Hamiltonian for which the Chiral Spin Liquid is the Exact Ground State
• Entanglement entropy of critical spin liquids
• Nature of chiral spin liquids on the kagome lattice
• Exact Diagonalization of Heisenberg SU(N) models
• Paired chiral spin liquid with a Fermi surface in S=1 model on the triangular lattice
• Quantum spin models for the SU(n)_1 Wess-Zumino-Witten model
• Synthetic gauge fields stabilize a chiral spin liquid phase
• Establishing non-Abelian topological order in Gutzwiller projected Chern insulators via Entanglement Entropy and Modular S-matrix
• Infinite Matrix Product States for long range SU(N) spin models
• Modular matrices from universal wave function overlaps in Gutzwiller-projected parton wave functions

Cited by in corpus (43)

• A Short Introduction to Topological Quantum Computation
• Chiral Spin Liquid and Quantum Criticality in Extended $S=1/2$ Heisenberg Models on the Triangular Lattice
• Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
• SU(4) chiral spin liquid, exciton supersolid and electric detection in moiré bilayers
• Doping the chiral spin liquid -- topological superconductor or chiral metal?
• SU$(3{)}_1$ Chiral Spin Liquid on the Square Lattice: a View from Symmetric PEPS
• Phase Separation Dynamics Induced by an Interaction Quench of a Correlated Fermi-Fermi Mixture in a Double Well
• Tensor network representations of parton wave functions
• Non-Abelian SU(N-1)-singlet fractional quantum Hall states from coupled wires
• DMRG simulations of SU(N) Heisenberg chains using standard Young tableaux: fundamental representation and comparison with finite-size Bethe ansatz
• Abelian SU$(N{)}_1$ Chiral Spin Liquids on the Square Lattice
• Correlated Tunneling Dynamics of an Ultracold Fermi-Fermi Mixture Confined in a Double-Well
• Quantum Electrodynamics in 2+1 Dimensions as the Organizing Principle of a Triangular Lattice Antiferromagnet
• Mott transition in the $\pi$-flux SU($4$) Hubbard model on a square lattice
• Topological chiral spin liquids and competing states in triangular lattice SU($N$) Mott insulators
• Interaction-driven topological phase transitions in fermionic SU($3$) systems
• Structure of Spin Correlations in High Temperature SU($N$) Quantum Magnets
• Interorbital Interactions in an SU(2)xSU(6)-Symmetric Fermi-Fermi Mixture
• Dimensional crossover in the SU(4) Heisenberg model in the six-dimensional antisymmetric self-conjugate representation revealed by quantum Monte Carlo and linear flavor-wave theory
• Time-reversal symmetry breaking Abelian chiral spin liquid in Mott phases of three-component fermions on the triangular lattice
• Exact diagonalization of $\mathrm{SU}(N)$ Heisenberg and AKLT chains using the full $\mathrm{SU}(N)$ symmetry
• Unveiling a critical stripy state in the triangular-lattice SU(4) spin-orbital model
• Collective modes of ultracold fermionic alkaline-earth gases with SU(N) symmetry
• Quantum phase diagram and chiral spin liquid in the extended spin-$\frac{1}{2}$ honeycomb XY model
• Emergence of Competing Orders and Possible Quantum Spin Liquid in SU(N) Fermions
• Chiral Spin Order in Kondo-Heisenberg systems
• Engineering infinite-range SU($n$) interactions with spin-orbit-coupled fermions in an optical lattice
• Deconfined criticalities and dualities between chiral spin liquid, topological superconductor and charge density wave Chern insulator
• A gapped SU(3) spin liquid with Z_3 topological order
• Twisting the Dirac cones of the SU(4) spin-orbital liquid on the honeycomb lattice
• Possible SU(3) Chiral Spin Liquid on the Kagome Lattice
• Even-odd effects in the $J_1-J_2$ SU($N$) Heisenberg spin chain
• Projective symmetry group classification of $Z_3$ parafermion spin liquids on a honeycomb lattice
• Bridging conformal field theory and parton approaches to SU(n)_k chiral spin liquids
• Anomalous Bloch oscillation and electrical switching of edge magnetization in bilayer graphene nanoribbon
• Entanglement spectra of non-chiral topological (2+1)-dimensional phases with strong time-reversal breaking, Li-Haldane state counting, and PEPS
• Fermi-Hubbard model on non-bipartite lattices: flux problem and emergent chirality
• Entanglement Spectrum as a diagnostic of chirality of Topological Spin Liquids: Analysis of an $\mathrm{SU}(3)$ PEPS
• Chiral spin liquid in a generalized Kitaev honeycomb model with ${\mathbb{Z}}_4$ 1-form symmetry
• Density Matrix Renormalization Group simulations of the SU(N) Fermi-Hubbard chain implementing the full SU(N) symmetry via Semi-Standard Young Tableaux and Unitary Group Subduction Coefficients
• Schwinger-Boson mean-field study of spin-1/2 $J_1$-$J_2$-$J_{\chi }$ model in honeycomb lattice: thermal Hall signature
• The dynamical structure factor of the SU(3) Heisenberg chain: The variational Monte Carlo approach
• The algebraic spin liquid in the SU(6) Heisenberg model on the kagome lattice