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arXiv:1811.12020 · Communications in Mathematical Physics

Thermodynamics of the Spin-1/2 Heisenberg–Ising Chain at High Temperatures: a Rigorous Approach

Frank Göhmann, Salvish Goomanee, Karol Kajetan Kozlowski, Junji Suzuki

Published Apr 3, 2020• 17 citations
arXivHTMLPDF
DOI
10.1007/s00220-020-03749-6

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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.
We consider an exactly solvable version of the quantum spin-1/2 orthogonal-dimer chain with the Heisenberg intra-dimer and Ising inter-dimer couplings.The investigated quantum spin system exhibits at zero temperature fractional plateaux at 1/4 and 1/2 of the saturation magnetization and it has a highly degenerate ground state at critical elds where the magnetization jumps.We study the eld dependence of the specic heat at low temperature.The lattice-gas description is formulated in a vicinity of critical elds to explain the low-temperature behaviour of specic heat.