Easy-axis Heisenberg model on the triangular lattice: from supersolid to gapped solid

Abstract

We investigate the easy-axis Heisenberg model on the triangular lattice by numerically studying excitations and the dynamical spin structure factor $S^{\mu \mu }(\mathbf{q},\omega )$. Results are analyzed within the supersolid scenario, characterized by the translation-symmetry-breaking parameter $m_z$ and the supersolid offdiagonal order parameter $m_{\perp }$. We find very robust $m_z>0$ in the whole easy-axis anisotropy regime $\alpha =J_{\perp }/J_z>0$, even enhanced by the magnetic field $h>0$, as well as $m_{\perp }>0$ for intermediate $\alpha <1$ and $h>0$. Still, at small $\alpha \lesssim 0.2$, relevant for recent experiments on the magnetic material K${}_2$Co(SeO${}_3$)${}_2$, we find at $h=0$ rather vanishing $m_{\perp }\sim 0$, which appears compatible with the numerically established finite magnon excitation gap ${\Delta }_1\sim 0.25\alpha J$.

References in corpus (28)

• Linear spin wave theory for single-Q incommensurate magnetic structures
• Long range Neel order in the triangular Heisenberg model
• Supersolids: what and where are they ?
• Exact spectra, spin susceptibilities and order parameter of the quantum Heisenberg antiferromagnet on the triangular lattice
• Supersolid hardcore bosons on the triangular lattice
• Neel order in square and triangular lattice Heisenberg models
• Spin-waves in triangular lattice antiferromagnet: decays, spectrum renormalization, and singularities
• Persistent supersolid phase of hard-core bosons on the triangular lattice
• Quantum Phase Diagram of the Triangular-Lattice XXZ Model in a Magnetic Field
• Supersolid phase of hardcore bosons on triangular lattice
• Giant Magnetocaloric Effect in Spin Supersolid Candidate Na${}_2$BaCo(PO${}_4$)${}_2$
• Magnetization plateaus in frustrated antiferromagnetic quantum spin models
• Magnetic excitation spectrum of dimerized antiferromagnetic chains
• Excitation spectra of the spin-1/2 triangular-lattice Heisenberg antiferromagnet
• Possible itinerant excitations and quantum spin state transitions in the effective spin-1/2 triangular-lattice antiferromagnet Na${}_2$BaCo(PO${}_4$)${}_2$
• Dynamical structure factor of the $J_1-J_2$ Heisenberg model on the triangular lattice: magnons, spinons, and gauge fields
• Quantum spin liquid in the Ising triangular-lattice antiferromagnet neodymium heptatantalate
• The phase diagram of the antiferromagnetic XXZ model on the triangular lattice
• Extended supersolid phase of frustrated hard-core bosons on a triangular lattice
• Spin Supersolidity in Nearly Ideal Easy-axis Triangular Quantum Antiferromagnet Na${}_2$BaCo(PO${}_4$)${}_2$
• Supersolid Order of Frustrated Hard-Core Bosons in a Triangular Lattice System
• Continuum excitations in a spin-supersolid on a triangular lattice
• Finite-temperature properties of the easy-axis Heisenberg model on frustrated lattices
• Double Magnon-Roton Excitations in the Triangular-Lattice Spin Supersolid
• Continuum of spin excitations in an ordered magnet
• Phase Diagram of the Easy-Axis Triangular-Lattice $J_1-J_2$ Model
• Simulating Spin Dynamics of Supersolid States in a Quantum Ising Magnet
• On the Magnetization of the $120^{\circ }$ order of the Spin-1/2 Triangular Lattice Heisenberg Model: a DMRG revisit

Cited by in corpus (7)

• Short-range order and hidden energy scale in geometrically frustrated magnets
• Emergent Spin Supersolids in Frustrated Quantum Materials
• The anisotropic Heisenberg model close to the Ising limit: triangular lattice vs. effective models
• Dissipationless dynamics of spin supersolid states in a spin-1/2 triangular antiferromagnet with impurities
• Non-linear spin wave theory in the strong easy-axis limit of the triangular XXZ model
• Nontrivial three-sublattice magnetization in the easy-axis spin-1/2 XXZ antiferromagnet on the triangular lattice
• Competing states in the $S=1/2$ triangular-lattice $J_1$-$J_2$ Heisenberg model: a dynamical density-matrix renormalization group study