Magnetization Process of the Spin-1/2 Triangular-Lattice Heisenberg Antiferromagnet with Next-Nearest-Neighbor Interactions -- Plateau or Nonplateau

Abstract

An $S=1/2$ triangular-lattice Heisenberg antiferromagnet with next-nearest-neighbor interactions is investigated under a magnetic field by the numerical-diagonalization method. It is known that, in both cases of weak and strong next-nearest-neighbor interactions, this system reveals a magnetization plateau at one-third of the saturated magnetization. We examine the stability of this magnetization plateau when the amplitude of next-nearest-neighbor interactions is varied. We find that a nonplateau region appears between the plateau phases in the cases of weak and strong next-nearest-neighbor interactions.

arXiv comment6pages, 7figures, to be published in J. Phys. Soc. Jpn

References in corpus (43)

• Fidelity, dynamic structure factor, and susceptibility in critical phenomena
• Exact spectra, spin susceptibilities and order parameter of the quantum Heisenberg antiferromagnet on the triangular lattice
• Spin Liquid Ground State of the Spin-1/2 Square $J_1$-$J_2$ Heisenberg Model
• Experimental Realization of Spin-1/2 Triangular-Lattice Heisenberg Antiferromagnet
• Plaquette Ordered Phase and Quantum Phase Diagram in the Spin-1/2 J1-J2 Square Heisenberg Model
• Unusual ordered phases of highly frustrated magnets: a review
• Resonating Valence Bond Wave Functions for Strongly Frustrated Spin Systems
• Quantum Critical Scaling of Fidelity Susceptibility
• Two spin liquid phases in the spatially anisotropic triangular Heisenberg model
• Dimer Order with Striped Correlations in the J_1-J_2 Heisenberg Model
• Direct evidence for a gapless $Z_2$ spin liquid by frustrating Néel antiferromagnetism
• Spontaneous plaquette dimerization in the $J_1-J_2$ Heisenberg model
• Quantum Phase Diagram of the Triangular-Lattice XXZ Model in a Magnetic Field
• Phase diagram for a class of spin-half Heisenberg models interpolating between the square-lattice, the triangular-lattice and the linear chain limits
• New valence bond crystal phase of a frustrated spin-1/2 square lattice antiferromagnet
• Quantum spin-liquid behavior in the spin-1/2 random Heisenberg antiferromagnet on the triangular lattice
• Numerical-Diagonalization Study of Spin Gap Issue of the Kagome Lattice Heisenberg Antiferromagnet
• Ordering in spatially anisotropic triangular antiferromagnets
• Quantum Spin Liquid in Spin 1/2 J1-J2 Heisenberg Model on Square Lattice: Many-Variable Variational Monte Carlo Study Combined with Quantum-Number Projections
• Functional renormalization group for the anisotropic triangular antiferromagnet
• Quantum magnetism in two dimensions: From semi-classical Néel order to magnetic disorder
• Quantum stabilization of 1/3-magnetization plateau in Cs_2CuBr_4
• Magnetization Process of the S=1 and 1/2 Uniform and Distorted Kagome Heisenberg Antiferromagnets
• A tensor product state approach to spin-1/2 square $J_1$-$J_2$ antiferromagnetic Heisenberg model: evidence for deconfined quantum criticality
• Critical magnetization behaviors of the triangular and Kagome lattice quantum antiferromagnets
• Static and dynamical spin correlations of the S=1/2 random-bond antiferromagnetic Heisenberg model on the triangular and the kagome lattices
• Theory of a competitive spin liquid state for weak Mott insulators on the triangular lattice
• Bold Diagrammatic Monte Carlo Method Applied to Fermionized Frustrated Spins
• Reexamination of Finite-Lattice Extrapolation of Haldane Gaps
• Incommensurate correlations in the anisotropic triangular Heisenberg lattice
• The spin-1/2 square-lattice J_1-J_2 model: The spin-gap issue
• Gapped spin liquid phase in the J1-J2 Heisenberg model by a Bosonic resonating valence-bond ansatz
• Magnetization Process of Kagome-Lattice Heisenberg Antiferromagnet
• Quantum Magnetization Plateau in Spin-1 Triangular-Lattice Antiferromagnet Ba${}_3$NiSb${}_2$O${}_9$
• $J_1-J_2$ quantum Heisenberg antiferromagnet on the triangular lattice: a group symmetry analysis of order by disorder
• Anomalous Behavior of the Magnetization Process of the S = 1/2 Kagome-Lattice Heisenberg Antiferromagnet at One-Third Height of the Saturation
• Magnetization Jump in the Magnetization Process of the spin-1/2 Heisenberg Antiferromagnet on a Distorted Square-Kagome Lattice
• Order in a Spatially Anisotropic Triangular Antiferromagnet
• Magnetization Process of the Spin-S Kagome-Lattice Heisenberg Antiferromagnet
• Long-Range Order of the Three-Sublattice Structure in the S = 1 Heisenberg Antiferromagnet on a Spatially Anisotropic Triangular Lattice
• Magnetization Process of the S=1/2 Heisenberg Antiferromagnet on the Cairo Pentagon Lattice
• Spin-Flop Phenomenon of Two-Dimensional Frustrated Antiferromagnets without Anisotropy in Spin Space
• Numerical study of incommensurability of the spiral state on spin-1/2 spatially anisotropic triangular antiferromagnets using entanglement renormalization

Cited by in corpus (14)

• The nature of spin excitations in the one-third magnetization plateau phase of Ba${}_3$CoSb${}_2$O${}_9$
• TMDs as a platform for spin liquid physics: A strong coupling study of twisted bilayer WSe${}_2$
• Metamagnetic jump in the spin-1/2 antiferromagnetic Heisenberg model on the square-kagome lattice
• Third boundary of the Shastry-Sutherland Model by Numerical Diagonalization
• From kagome strip to kagome lattice: Realizations of frustrated S=1/2 antiferromagnets in Ti(III) fluorides
• Exact diagonalization study of the anisotropic Heisenberg model related to YbMgGaO${}_4$
• Haldane Gaps of Large-S Heisenberg Antiferromagnetic Chains and Asymptotic Behavior
• Magnetization plateau and supersolid phases in the spin-1/2 antiferromagnetic Heisenberg model on a tetragonally distorted fcc lattice
• Precise estimation of the S = 2 Haldane gap by numerical diagonalization
• Magnetization process of the S=1/2 Heisenberg antiferromagnet on the floret pentagonal lattice
• Unusual dynamics of spin-1/2 antiferromagnets on the triangular lattice in magnetic field
• Ground state with nonzero spontaneous magnetization of the two-dimensional spin-1/2 Heisenberg antiferromagnet with frustration
• Frustrated quantum spin systems in small triangular lattices studied with a numerical method
• Strongly frustrated 2D magnetism in a 3D hexagonal perovskite