Fractional magnetization plateaux of the spin-1/2 Heisenberg orthogonal-dimer chain revisited: strong-coupling approach developed from the exactly solved Ising-Heisenberg model

Abstract

The spin-1/2 Heisenberg orthogonal-dimer chain is considered within the perturbative strong-coupling approach, which is developed from the exactly solved spin-1/2 Ising-Heisenberg orthogonal-dimer chain with the Heisenberg intradimer and the Ising interdimer couplings. Although the spin-1/2 Ising-Heisenberg orthogonal-dimer chain exhibits just intermediate plateaux at zero, one-quarter and one-half of the saturation magnetization, the perturbative treatment up to second order stemming from this exactly solvable model additionally corroborates the fractional one-third plateau as well as the gapless Luttinger spin-liquid phase. It is evidenced that the approximate results obtained from the strong-coupling approach are in an excellent agreement with the state-of-the-art numerical data obtained for the spin-1/2 Heisenberg orthogonal-dimer chain within the exact diagonalization and density-matrix renormalization group method. The nature of individual quantum ground states is comprehensively studied within the developed perturbation theory.

arXiv comment15 pages, 4 figures

References in corpus (32)

• Magnetization plateaus in spin chains: ``Haldane gap'' for half-integer spins
• The ALPS project release 2.0: Open source software for strongly correlated systems
• Magnetization Process and Collective Excitations in the S=1/2 Triangular-Lattice Heisenberg Antiferromagnet Ba3CoSb2O9
• Magnetization plateaus in frustrated antiferromagnetic quantum spin models
• Magnetization of SrCu2(BO3)2 in ultrahigh magnetic fields up to 118 T
• Magnetostriction and magnetic texture to 97.4 Tesla in frustrated SrCu2(BO3)2
• One-Third Magnetization Plateau with a Preceding Novel Phase in Volborthite
• Incomplete devil's staircase in the magnetization curve of SrCu2(BO3)2
• Generalized algebraic transformations and exactly solvable classical-quantum models
• Quantum phase diagram of the $S=1/2$ triangular-lattice antiferromagnet Ba${}_3$CoSb${}_2$O${}_9$
• Rigorous results on a first-order phase transition in antiferromagnetic spin-1/2 coupled chains
• Thermodynamic properties of a tetramer ferro-ferro-antiferro-antiferromagnetic Ising-Heisenberg bond alternating chain as a model system for Cu(3-Clpy)${}_2$(N${}_3$)${}_2$
• Magnetization Plateaus in the Spin-1/2 Kagome Antiferromagnets: Volborthite and Vesignieite
• First-order quantum phase transition in the orthogonal-dimer spin chain
• Infinite series of magnetization plateaus in the frustrated dimer-plaquette chain
• Singlet Ground State and Magnetization Plateaus in Ba${}_3$Mn${}_2$O${}_8$
• Magnetization process, bipartite entanglement and enhanced magnetocaloric effect of the exactly solved spin-1/2 Ising-Heisenberg tetrahedral 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
• A microscopic approach to the dimerization in the frustrated spin-1/2 antiferromagnetic chains
• Frustrated quantum Heisenberg antiferromagnets at high magnetic fields: Beyond the flat-band scenario
• Exact ground states of a spin-1/2 Ising-Heisenberg model on the Shastry-Sutherland lattice in a magnetic field
• Magnetic behavior of a spin-1 dimer: model system for homodinuclear nickel (II) complexes
• Diagonal Ladders: A New Class of Models for Strongly Coupled Electron Systems
• Exact solution for quantum spin-1/2 Ising-Heisenberg orthogonal-dimer chain with the Heisenberg intra-dimer and Ising inter-dimer interactions
• Sequence of first-order quantum phase transitions in a frustrated spin half dimer-plaquette chain
• Thermal entanglement in an orthogonal dimer-plaquette chain with alternating Ising-Heisenberg coupling
• Alternating-Spin Ladders in a Magnetic Field: New Magnetization Plateaux
• Low Energy Properties of Ferrimagnetic 2-leg Ladders: a Lanczos study
• Effective low-energy description of almost Ising-Heisenberg diamond chain
• Breakdown of an intermediate plateau in the magnetization process of anisotropic spin-1 Heisenberg dimer: theory vs. experiment
• Low-temperature thermodynamics of spin-1/2 orthogonal-dimer chain with Ising and Heisenberg interactions

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