Exact solution for quantum spin-1/2 Ising-Heisenberg orthogonal-dimer chain with the Heisenberg intra-dimer and Ising inter-dimer interactions

Abstract

The quantum spin-1/2 orthogonal-dimer chain with the Heisenberg intra-dimer and Ising inter-dimer interactions in a magnetic field is considered by a rigorous approach. The model conserves the z-component of total spin on vertical Heisenberg bonds and this property is used to calculate exactly the partition function using the transfer-matrix method. We have found the ground-state phase diagram of the given model in a magnetic field as well as the macroscopic degeneracy along field-induced transitions accompanied with the magnetization jumps. The model exhibits two intermediate fractional plateaux at one-quarter and one-half of the saturation magnetization. We have examined the effect of the exchange anisotropy in the XXZ Heisenberg intra-dimer interaction on the ground state. It is shown that the one-quarter and one-half plateaux may disappear from the magnetization curve for the ferromagnetic Heisenberg intra-dimer interaction. We have also rigorously studied the effect of frustrated interactions on the thermodynamic and magnetic properties of the model and show how the macroscopic degeneracy of the ground state is reflected in the low-temperature behavior of the magnetization, entropy and specific heat. A possibility of observing enhanced magnetocaloric effect during the adiabatic demagnetization is discussed in detail.

10 pages, 7 figures

References in corpus (8)

• Magnetization of SrCu2(BO3)2 in ultrahigh magnetic fields up to 118 T
• Magnetocaloric effect in one-dimensional antiferromagnets
• Incomplete devil's staircase in the magnetization curve of SrCu2(BO3)2
• Dysprosium-based experimental representatives of an Ising-Heisenberg chain and a decorated Ising ring
• Magneto-thermal properties of the Heisenberg-Ising orthogonal-dimer chain with triangular XXZ-clusters
• Ferrimagnetic spin-1/2 chain of alternating Ising and Heisenberg spins in arbitrarily oriented magnetic field
• Unconventional magnetization plateaus in a Shastry-Sutherland spin tube
• Interplay between spin frustration and thermal entanglement in the exactly solved Ising-Heisenberg tetrahedral chain

Cited by in corpus (16)

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• Ground-state and magnetocaloric properties of a coupled spin-electron double-tetrahedral chain (exact study at the half filling)
• Non-conserved magnetization operator and `fire-and-ice' ground states in the Ising-Heisenberg diamond chain
• Magnetization plateaus and bipartite entanglement of an exactly solved spin-1/2 Ising-Heisenberg orthogonal-dimer chain
• Local Hilbert space fragmentation and weak thermalization in Bose-Hubbard diamond necklaces
• Geometrically frustrated Cairo pentagonal lattice stripe with Ising and Heisenberg exchange interactions
• Conventional and inverse magnetocaloric and electrocaloric effects of a mixed spin-(1/2, 1) Heisenberg dimer
• Effects of staggered Dzyaloshinskii-Moriya interactions in a quasi-two-dimensional Shastry-Sutherland model
• Insight into ground-state spin arrangement and bipartite entanglement of the polymeric coordination compound [Dy${}_2$Cu${}_2$]${}_n$ through the symmetric spin-1/2 Ising-Heisenberg orthogonal-dimer chain
• Reentrant phenomenon and inverse magnetocaloric effect in a generalized spin-(1/2,s) Fisher's super-exchange antiferromagnet
• Insights into nature of a magnetization plateau of 3$d$-4$f$ coordination polymer [Dy${}_2$Cu${}_2$]${}_n$ from a spin-1/2 Ising-Heisenberg orthogonal-dimer chain
• Low-temperature thermodynamics of spin-1/2 orthogonal-dimer chain with Ising and Heisenberg interactions
• Tunable zero modes and quantum interferences in flat-band topological insulators
• Quantum phase with spontaneous translational symmetry breaking in an extended diamond chain
• Tree-Graph Based Construction of Quantum Spin Models with Exact Ground State