Exact results for a generalized spin-1/2 Ising-Heisenberg diamond chain with the second-neighbor interaction between nodal spins

Abstract

The ground state and thermodynamics of a generalized spin-1/2 Ising-Heisenberg diamond chain with the second-neighbor interaction between nodal spins are calculated exactly using the mapping method based on the decoration-iteration transformation. Rigorous results for the magnetization, susceptibility, and heat capacity are investigated in dependence on temperature and magnetic field for the frustrated diamond spin chain with the antiferromagnetic Ising and Heisenberg interactions. It is demonstrated that the second-neighbor interaction between nodal spins gives rise to a greater diversity of low-temperature magnetization curves, which may include an intermediate plateau at two-third of the saturation magnetization related to the classical ferrimagnetic (up-up-up-down-up-up-...) ground state with translationally broken symmetry besides an intermediate one-third magnetization plateau reflecting the translationally invariant quantum ferrimagnetic (monomer-dimer) spin arrangement.

14 pages, 8 figures

References in corpus (12)

• 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
• 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
• Phase diagram of the asymmetric tetrahedral Ising-Heisenberg chain
• Successive phase transitions to antiferromagnetic and weak-ferromagnetic long-range orders in quasi-one-dimensional antiferromagnet Cu${}_3$Mo${}_2$O${}_9$
• Magnetization non-rational quasi-plateau and spatially modulated spin order in the model of the single-chain magnet, [{(CuL)_2 Dy}{Mo(CN)_8}] 2CH_3CN H_2O
• Magnetic properties of the spin-1/2 Ising-Heisenberg diamond chain with the four-spin interaction
• Magnetocaloric effect in the spin-1/2 Ising-Heisenberg diamond chain with the four-spin interaction
• Ferrimagnetic spin-1/2 chain of alternating Ising and Heisenberg spins in arbitrarily oriented magnetic field

Cited by in corpus (13)

• Vigorous thermal excitations in a double-tetrahedral chain of localized Ising spins and mobile electrons mimic a temperature-driven first-order phase transition
• Universality and quasicritical exponents of one-dimensional models displaying a quasitransition at finite temperatures
• Magnetization plateaus of an exactly solvable spin-1 Ising-Heisenberg diamond chain
• Spin frustration and fermionic entanglement in an exactly solved hybrid diamond chain with the localized Ising spins and mobile electrons
• On the absence of actual plateaus in zero-temperature magnetization curves of quantum spin clusters and chains
• Thermal entanglement in a spin-1/2 Ising-XYZ distorted diamond chain with the second-neighbor interaction between nodal Ising spins
• Ground-state and magnetocaloric properties of a coupled spin-electron double-tetrahedral chain (exact study at the half filling)
• Exactly solved mixed spin-(1,1/2) Ising-Heisenberg distorted diamond chain
• Transforming Generalized Ising Model into Boltzmann Machine
• Effective low-energy description of almost Ising-Heisenberg diamond chain
• Exactly solvable spin-1 Ising-Heisenberg diamond chain with the second-neighbor interaction between nodal spins
• The transverse field XY model on the diamond chain
• Spin-1/2 Ising-Heisenberg distorted diamond chain with antiferromagnetic Ising and ferromagnetic Heisenberg interactions