Quantum stabilization of classically unstable plateau structures

Abstract

Motivated by the intriguing report, in some frustrated quantum antiferromagnets, of magnetization plateaus whose simple collinear structure is {\it not} stabilized by an external magnetic field in the classical limit, we develop a semiclassical method to estimate the zero-point energy of collinear configurations even when they do not correspond to a local minimum of the classical energy. For the spin-1/2 frustrated square-lattice antiferromagnet, this approach leads to the stabilization of a large 1/2 plateau with "up-up-up-down" structure for J_2/J_1>1/2, in agreement with exact diagonalization results, while for the spin-1/2 anisotropic triangular antiferromagnet, it predicts that the 1/3 plateau with "up-up-down" structure is stable far from the isotropic point, in agreement with the properties of Cs_2CuBr_4.

6 pages, 4 figures

References in corpus (9)

• Magnetization plateaus in frustrated antiferromagnetic quantum spin models
• Ordering in spatially anisotropic triangular antiferromagnets
• Quantum stabilization of 1/3-magnetization plateau in Cs_2CuBr_4
• Effective Theory of Magnetization Plateaux in the Shastry-Sutherland Lattice
• Incommensurate correlations in the anisotropic triangular Heisenberg lattice
• Quantum vs. Classical Magnetization Plateaus of S=1/2 Frustrated Heisenberg Chains
• Thermodynamics of the Up-Up-Down Phase of the S = 1/2 Triangular-Lattice Antiferromagnet Cs${}_2$CuBr${}_4$
• Frustrated antiferromagnets at high fields: the Bose-Einstein condensation in degenerate spectra
• Evidence of columnar order in the fully frustrated transverse field Ising model on the square lattice

Cited by in corpus (35)

• The nature of spin excitations in the one-third magnetization plateau phase of Ba${}_3$CoSb${}_2$O${}_9$
• Frustrated two dimensional quantum magnets
• Are multiphase competition & order-by-disorder the keys to understanding Yb2Ti2O7?
• Novel phases in a square-lattice frustrated ferromagnet : 1/3-magnetisation plateau, helicoidal spin-liquid and vortex crystal
• Observation of a 1/3 Magnetisation Plateau Phase as Evidence for the Kitaev Interaction in a Honeycomb-Lattice Antiferromagnet
• Degenerate manifolds, helimagnets, and multi-$\mathbf{Q}$ chiral phases in the classical Heisenberg antiferromagnet on the face-centered-cubic lattice
• Field-enhanced quantum fuctuation in S=1/2 frustrated square lattice
• Semiclassical theory of the magnetization process of the triangular lattice Heisenberg model
• Magnetic phase diagrams and magnetization plateaus of the spin-1/2 antiferromagnetic Heisenberg model on square-kagome lattice with three nonequivalent exchange interactions
• Half-magnetization plateau in a Heisenberg antiferromagnet on a triangular lattice
• Spin-current order in anisotropic triangular antiferromagnets
• Metamagnetic jump in the spin-1/2 antiferromagnetic Heisenberg model on the square-kagome lattice
• Quantum Phases in the Honeycomb-Lattice $J_1$--$J_3$ Ferro-Antiferromagnetic Model
• Phase Diagram of the Easy-Axis Triangular-Lattice $J_1-J_2$ Model
• Quantum phase transitions in Heisenberg $J_1-J_2$ triangular antiferromagnet in a magnetic field
• Multiple Magnetization Plateaus and the Magnetic Structures in $S=1/2$ Heisenberg Model on the Checkerboard Lattice
• Magnon interactions in the quantum paramagnetic phase of CoNb${}_2$O${}_6$
• Ground state phase diagram of twisted three-leg spin tube in magnetic field
• Field Induced Quantum Phase Transitions in $S=1/2$ $J_1$-$J_2$ Heisenberg Model on the Square Lattice
• Magnetization plateau and supersolid phases in the spin-1/2 antiferromagnetic Heisenberg model on a tetragonally distorted fcc lattice
• Emergent 1/3 magnetization plateaus in pyroxene CoGeO${}_3$
• Color ice states, weathervane modes, and order by disorder in the bilinear-biquadratic pyrochlore Heisenberg antiferromagnet
• Insights into nature of magnetization plateaus of a nickel complex [Ni4(CO3)2(aetpy)8](ClO4)4 from a spin-1 Heisenberg diamond cluster
• Isothermal and adiabatic magnetization processes of the spin-$\frac{1}{2}$ Heisenberg model on an anisotropic triangular lattice
• Magnetization process and ordering of the $S=1/2$ pyrochlore magnet in a field
• Non-Coplanar Model States in Quantum Magnetism Applications of the High-Order Coupled Cluster Method
• Roller-Coaster in a Flatland: Magnetoresistivity in Eu-intercalated Graphite
• Magnetization Plateaus in the Two-dimensional S = 1/2 Heisenberg Model with a 3$\times$3 Checkerboard Structure
• Low-energy spin dynamics in a Kitaev material Na3Ni2BiO6 investigated by NMR
• Quantum selection of order and dynamic properties of Kitaev-Heisenberg ferromagnet on a triangular lattice
• Magnetic phases of orbital bipartite optical lattices
• Demystifying quantum escapism on the honeycomb lattice
• Stabilization of zigzag order in NiPS${}_3$ via positive biquadratic interaction
• Field-induced states and thermodynamics of the frustrated Heisenberg antiferromagnet on a square lattice
• Quantum effects in nanosystems: good reasons to use phase-space Weyl symbols