Dynamical Signatures of Symmetry Broken and Liquid Phases in an $S=1/2$ Heisenberg Antiferromagnet on the Triangular Lattice

Abstract

We present the dynamical spin structure factor of the antiferromagnetic spin-$\frac{1}{2}$ $J_1-J_2$ Heisenberg model on a triangular lattice obtained from large-scale matrix-product state simulations. The high frustration due to the combination of antiferromagnetic nearest and next-to-nearest neighbour interactions yields a rich phase diagram. We resolve the low-energy excitations both in the $120^{\circ }$-ordered phase and in the putative spin liquid phase at $J_2/J_1=0.125$. In the ordered phase, we observe an avoided decay of the lowest magnon-branch, demonstrating the robustness of this phenomenon in the presence of gapless excitations. Our findings in the spin-liquid phase chime with the field-theoretical predictions for a gapless Dirac spin liquid, in particular the picture of low-lying monopole excitations at the corners of the Brillouin zone. We comment on possible practical difficulties of distinguishing proximate liquid and solid phases based on the dynamical structure factor.

References in corpus (24)

• The density-matrix renormalization group in the age of matrix product states
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Time-evolving a matrix product state with long-ranged interactions
• Tensor network states and algorithms in the presence of a global U(1) symmetry
• Spin liquid phase of the $S=\frac{1}{2}$ $J_1-J_2$ Heisenberg model on the triangular lattice
• Algebraic spin liquid as the mother of many competing orders
• Imaging spinon density modulations in a 2D quantum spin liquid
• Spectral Function for the S=1 Heisenberg Antiferromagetic Chain
• Excitation spectra of the spin-1/2 triangular-lattice Heisenberg antiferromagnet
• Quantum spin liquid ground state in the disorder free triangular lattice NaYbS${}_2$
• Spinon Fermi surface spin liquid in a triangular lattice antiferromagnet NaYbSe${}_2$
• Magnon Decay in Noncollinear Quantum Antiferromagnets
• Flat spin wave dispersion in a triangular antiferromagnet
• Witnessing quantum criticality and entanglement in the triangular antiferromagnet KYbSe${}_2$
• Avoided quasiparticle decay and enhanced excitation continuum in the spin-1/2 near-Heisenberg triangular antiferromagnet Ba3CoSb2O9
• Spin Excitation Spectra of Anisotropic Spin-$1/2$ Triangular Lattice Heisenberg Antiferromagnets
• Spectral function of the $J_1-J_2$ Heisenberg model on the triangular lattice
• Efficient MPS methods for extracting spectral information on rings and cylinders
• Hole Spectral Function of a Chiral Spin Liquid in the Triangular Lattice Hubbard Model
• Evidence of Two-Spinon Bound States in the Magnetic Spectrum of Ba${}_3$CoSb${}_2$O${}_9$
• Gapless spin liquids in disguise
• Nature of quantum spin liquids of the S=1/2 Heisenberg antiferromagnet on the triangular lattice: A parallel DMRG study
• Magnetic excitations, phase diagram and order-by-disorder in the extended triangular-lattice Hubbard model
• Spectra of a Gapped Quantum Spin Liquid with a Strong Chiral Excitation on the Triangular Lattice

Cited by in corpus (27)

• Evidence of Dirac Quantum Spin Liquid in YbZn2GaO5
• Quantum Electrodynamics in 2+1 Dimensions as the Organizing Principle of a Triangular Lattice Antiferromagnet
• Spin-Peierls instability of the U(1) Dirac spin liquid
• Phase Diagram of the Easy-Axis Triangular-Lattice $J_1-J_2$ Model
• Cavity Moiré Materials: Controlling Magnetic Frustration with Quantum Light-Matter Interaction
• Evidence of quantum spin liquid state in a Cu${}^{2+}$-based $S=1/2$ triangular lattice antiferromagnet
• Simulating Spin Dynamics of Supersolid States in a Quantum Ising Magnet
• Quantum phase transitions and composite excitations of antiferromagnetic spin trimer chains in a magnetic field
• Dynamical response theory of interacting Majorana fermions and its application to generic Kitaev quantum spin liquids in a field
• Exciton interacting with a moiré lattice: Polarons, strings, and optical probing of spin correlations
• Modified large-$N$ approach to gapless spin liquids, magnetic orders, and dynamics: Application to triangular lattice antiferromagnets
• Spin-charge bound states and emerging fermions in a quantum spin liquid
• Emergent Spin Supersolids in Frustrated Quantum Materials
• Dynamics and thermodynamics of the S = 5/2 almost Heisenberg triangular lattice antiferromagnet K2Mn(SeO3)2
• Spectroscopy and complex-time correlations using minimally entangled typical thermal states
• High-temperature series expansion of the dynamic Matsubara spin correlator
• Emergent Quantum Phenomena of Noncentrosymmetric Charge-Density Wave in 1T-Transition Metal Dichalcogenides
• Dissipationless dynamics of spin supersolid states in a spin-1/2 triangular antiferromagnet with impurities
• Scalable hybrid quantum Monte Carlo simulation of U(1) gauge field coupled to fermions on GPU
• Keldysh pseudo-fermion functional renormalization group for quantum magnetism
• Quantum decay of magnons in the unfrustrated honeycomb Heisenberg model
• Stability of algebraic spin liquids coupled to quantum phonons
• Topical review: the nature of the ground state and possibility of a quantum spin liquid in 1T metal dichalcogenides
• Unconventional Spin Dynamics and Supersolid Excitations in the Triangular-Lattice XXZ Model
• Optimized Gutzwiller Projected States for Doped Antiferromagnets in Fermi-Hubbard Simulators
• Competing states in the $S=1/2$ triangular-lattice $J_1$-$J_2$ Heisenberg model: a dynamical density-matrix renormalization group study
• Single-hole spectral functions in one-dimensional quantum magnets with different ground states