On the absence of actual plateaus in zero-temperature magnetization curves of quantum spin clusters and chains

Abstract

We examine the general features of the non-commutativity of the magnetization operator and Hamiltonian for the small quantum spin clusters. The source of this non-commutativity can be a difference in the Landé g-factors for different spins in the cluster, XY-anisotropy in the exchange interaction and the presence of the Dzyaloshinskii-Moriya term in the direction different for the direction of the magnetic field. As a result, a zero-temperature magnetization curve for the small spin clusters mimics that for the macroscopic systems with the band(s) of magnetic excitations, i.e. for the given eigenstate of the spin cluster the corresponding magnetic moment can be an explicit function of the external magnetic field yielding the non-constant (non-plateau) form of the magnetization curve within the given eigenstate. Also, the XY-anisotropy makes the saturated magnetization (the eigenstate when all spins in cluster are aligned along the magnetic field) inaccessible for finite magnetic field magnitude (asymptotical saturation). We demonstrate all these features on three examples: spin-1/2 dimer, mixed spin-(1/2,1) dimer, spin-1/2 ring trimer. We consider the simplest Ising-Heisenberg chain, the XYZ-Ising diamond chain with four different g-factors as well. In the chain model the magnetization curve has more complicated and non trivial structure with than that for clusters.

15 pages, 11 figures

References in corpus (19)

• Magnetization plateaus in frustrated antiferromagnetic quantum spin models
• Nature of the spin dynamics and 1/3 magnetization plateau in azurite
• Geometric frustration in the class of exactly solvable Ising-Heisenberg diamond chains
• Thermal entanglement in exactly solvable Ising-XXZ diamond chain structure
• Dynamic and thermodynamic properties of the generalised diamond chain model for azurite
• Thermodynamic properties of a tetramer ferro-ferro-antiferro-antiferromagnetic Ising-Heisenberg bond alternating chain as a model system for Cu(3-Clpy)${}_2$(N${}_3$)${}_2$
• Exactly solvable mixed-spin Ising-Heisenberg diamond chain with the biquadratic interactions and single-ion anisotropy
• Dysprosium-based experimental representatives of an Ising-Heisenberg chain and a decorated Ising ring
• Exactly solvable Ising--Heisenberg chain with triangular XXZ-Heisenberg plaquettes
• Uniform and staggered magnetizations induced by Dzyaloshinskii-Moriya interactions in isolated and coupled spin 1/2 dimers in a magnetic field
• Phase diagram of the asymmetric tetrahedral Ising-Heisenberg chain
• Magneto-thermal properties of the Heisenberg-Ising orthogonal-dimer chain with triangular XXZ-clusters
• Spin Configuration in the 1/3 Magnetization Plateau of Azurite Determined by NMR
• Magnetization plateaus of an exactly solvable spin-1 Ising-Heisenberg diamond chain
• Entanglement, magnetic and quadrupole moments properties of the mixed spin Ising-Heisenberg diamond chain
• Ising phases of Heisenberg ladders in a magnetic field
• Interplay between spin frustration and thermal entanglement in the exactly solved Ising-Heisenberg tetrahedral chain
• Quantum correlations in Ising-XYZ diamond chain structure under an external magnetic field
• Torque anomalies at magnetization plateaux in quantum magnets with Dzyaloshinskii-Moriya interactions

Cited by in corpus (21)

• Enhanced magnetocaloric effect in a proximity of magnetization steps and jumps of spin-1/2 XXZ Heisenberg regular polyhedra
• Unconventional strengthening of a bipartite entanglement of a mixed spin-(1/2,1) Heisenberg dimer achieved through Zeeman splitting
• Thermal entanglement and sharp specific-heat peak in an exactly solved spin-1/2 Ising-Heisenberg ladder with alternating Ising and Heisenberg inter-leg couplings
• Zero temperature non-plateau magnetization and magnetocaloric effect in an Ising-XYZ diamond chain structure
• Breakdown of intermediate one-half magnetization plateau of spin-1/2 Ising-Heisenberg and Heisenberg branched chains at triple and Kosterlitz-Thouless critical points
• Exactly solved mixed spin-(1,1/2) Ising-Heisenberg distorted diamond chain
• Influence of intermolecular interactions on magnetic observables
• Non-conserved magnetization operator and `fire-and-ice' ground states in the Ising-Heisenberg diamond chain
• Conventional and inverse magnetocaloric and electrocaloric effects of a mixed spin-(1/2, 1) Heisenberg dimer
• Spin Frustration and a `Half Fire, Half Ice' Critical Point from Nonuniform $g$-Factors
• Magnetization plateau as a result of the uniform and gradual electron doping in a coupled spin-electron double-tetrahedral chain
• The specific heat and magnetic properties of a spin-1/2 ladder including butterfly-shaped unit blocks
• Quantum entanglement in mixed-spin trimer: Effects of a magnetic field and heterogeneous g-factors
• Spin-1/2 $XXZ$ Heisenberg cupolae: magnetization process and related enhanced magnetocaloric effect
• Spin-1/2 Ising-Heisenberg Cairo pentagonal model in the presence of an external magnetic field: Effect of Landé g-factors
• Room-temperature entanglement of the nickel-radical molecular complex (Et3NH)[Ni(hfac)2L]
• Spin-1/2 $XX$ chain in a transverse field with regularly alternating $g$-factors: Static and dynamic properties
• Electrocaloric effect in the two spin-1/2 XXZ Heisenberg edge-shared tetrahedra and spin-1/2 XXZ Heisenberg octahedron with Dzyaloshinskii-Moriya interaction
• Pair entanglement in dimerized spin-s chains
• Spin-1/2 Ising-Heisenberg distorted diamond chain with antiferromagnetic Ising and ferromagnetic Heisenberg interactions
• Tripartite entanglement in mixed-spin triangle trimmer