Quantum and Thermal Phase Transitions of the Triangular SU(3) Heisenberg Model under Magnetic Fields

Abstract

We study the quantum and thermal phase transition phenomena of the SU(3) Heisenberg model on triangular lattice in the presence of magnetic fields. Performing a scaling analysis on large-size cluster mean-field calculations endowed with a density-matrix-renormalization-group solver, we reveal the quantum phases selected by quantum fluctuations from the massively degenerate classical ground-state manifold. The magnetization process up to saturation reflects three different magnetic phases. The low- and high-field phases have strong nematic nature, and especially the latter is found only via a nontrivial reconstruction of symmetry generators from the standard spin and quadrupolar description. We also perform a semiclassical Monte Carlo simulations to show that thermal fluctuations prefer the same three phases as well. Moreover, we find that exotic topological phase transitions driven by the binding-unbinding of fractional (half-)vortices take place, due to the nematicity of the low- and high-field phases. Possible experimental realization with alkaline-earth-like cold atoms is also discussed.

6+6 pages, 4+4 figures

References in corpus (51)

• Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
• Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
• Two-orbital SU(N) magnetism with ultracold alkaline-earth atoms
• Spin and Charge Resolved Quantum Gas Microscopy of Antiferromagnetic Order in Hubbard Chains
• Evidence for a Field-induced Quantum Spin Liquid in $\alpha$-RuCl${}_3$
• An SU(N) Mott insulator of an atomic Fermi gas realized by large-spin Pomeranchuk cooling
• Observation of Spatial Charge and Spin Correlations in the 2D Fermi-Hubbard Model
• Site-resolved measurement of the spin-correlation function in the Hubbard model
• Degenerate Fermi Gases of Ytterbium
• Ultracold fermions and the SU(N) Hubbard model
• Experimental Realization of Spin-1/2 Triangular-Lattice Heisenberg Antiferromagnet
• 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
• SU(4) Theory for Spin Systems with Orbital Degeneracy
• Spin Nematic Phase in S=1 Triangular Antiferromagnets
• Controlling frustrated liquids and solids with an applied field in a kagome Heisenberg antiferromagnet
• Degenerate Fermi Gas of ${}^{87}$Sr
• Revealing Hidden Antiferromagnetic Correlations in Doped Hubbard Chains via String Correlators
• Efficient numerical diagonalization of hermitian 3x3 matrices
• Quantum Phase Diagram of the Triangular-Lattice XXZ Model in a Magnetic Field
• Direct probing of the Mott crossover in the SU($N$) Fermi-Hubbard model
• Observation of canted antiferromagnetism with ultracold fermions in an optical lattice
• Quantum degenerate mixtures of alkali and alkaline-earth-like atoms
• Observation of the SU(4) Kondo state in a double quantum dot
• An ytterbium quantum gas microscope with narrow-line laser cooling
• Double-degenerate Bose-Fermi mixture of strontium
• Controlling and Detecting Spin Correlations of Ultracold Atoms in Optical lattices
• Three-sublattice order in the SU(3) Heisenberg model on the square and triangular lattice
• Antiferromagnetic spin correlation of SU($\mathcal{N}$) Fermi gas in an optical super-lattice
• Possible ferro-spin nematic order in NiGa2S4
• Quadrupolar correlations and spin freezing in S = 1 triangular lattice antiferromagnets
• Topological defects and the superfluid transition of the $s=1$ spinor condensate in two dimensions
• Phase diagram of the classical Heisenberg antiferromagnet on a triangular lattice in applied magnetic field
• Waves in the unseen : theory of spin excitations in a quantum spin nematic
• Site-resolved imaging of ytterbium atoms in a two-dimensional optical lattice
• Z_2-vortex ordering of the triangular-lattice Heisenberg antiferromagnet
• Search for a spin-nematic phase in the quasi-one-dimensional frustrated magnet LiCuVO${}_4$
• Exact Diagonalization of Heisenberg SU(N) models
• Magnetic phase diagrams of classical triangular and kagome antiferromagnets
• Quantum phases of hardcore bosons with long-range interactions on a square lattice
• Competition between two- and three-sublattice ordering for S=1 spins on the square lattice
• Anisotropic spin fluctuations in the quasi one-dimensional frustrated magnet LiCuVO_4
• Emergent Haldane phase in the $S=1$ bilinear-biquadratic Heisenberg model on the square lattice
• Phases of triangular lattice antiferromagnet near saturation
• Local density approximation for confined bosons in an optical lattice
• A ground state study of the spin-1 bilinear-biquadratic Heisenberg model on the triangular lattice using tensor networks
• Phase transitions in the antiferromagnetic XY model with a kagome lattice
• Exact diagonalization and cluster mean-field study of triangular-lattice XXZ antiferromagnets near saturation
• Quantum solitons with emergent interactions in a model of cold atoms on the triangular lattice
• Quantum Critical Spin-2 Chain with Emergent SU(3) Symmetry
• Emergent SU(N) symmetry in disordered SO(N) spin chains

Cited by in corpus (23)

• Observation of antiferromagnetic correlations in an ultracold SU($N$) Hubbard model
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Universal thermodynamics of an SU($N$) Fermi-Hubbard Model
• Emergent SU(3) magnons and thermal Hall effect in the antiferromagnetic skyrmion lattice
• Metal-insulator transition and quantum magnetism in the SU(3) Fermi-Hubbard Model: Disentangling Nesting and the Mott Transition
• $\mathbb{C}{P}^2$ Skyrmion Crystals in an SU(3) Magnet with a Generalized Dzyaloshinskii-Moriya Interaction
• Phase transitions of the anisotropic Dicke model
• Double magnetic transitions and exotic field induced phase in the triangular lattice antiferromagnets Sr${}_3$Co(Nb,Ta)${}_2$O${}_9$
• Many-body Physics of Ultracold Alkaline-Earth atoms with SU($N$)-symmetric interactions
• Multipolar exchange interaction and complex order in insulating lanthanides
• Linear Flavor-Wave Analysis of SU(4)-Symmetric Tetramer Model with Population Imbalance
• The frustrated Ising model on the body-centered cubic lattice
• Cluster Mean Field plus Density Matrix Renormalization theory for the Bose Hubbard Model
• A generalized effective spin-chain formalism for strongly interacting spinor gases in optical lattice
• Relation between the noise correlations and the spin structure factor for Mott-insulating states in SU$(N)$ Hubbard models
• Theory of Fractionally-magnetized Quantum Ferromagnet
• Engineering of a Low-Entropy Quantum Simulator for Strongly Correlated Electrons Using SU($\mathcal{N}$)-Symmetric Cold Atom Mixtures
• Phase transitions in the decomposition of $SU(N)$ representations
• Thermal Ising transition in two-dimensional SU(3) Fermi lattice gases with population imbalance
• Nonabelian ferromagnets with three-body interactions
• Ground-state phase diagram of the SU($4$) Heisenberg model on a plaquette lattice
• Nematic correlations and nematic Berezinskii-Kosterlitz-Thouless transition in spin-1 kagome lattice antiferromagnets
• Adjoint ferromagnets