Magneto-thermal properties of the Heisenberg-Ising orthogonal-dimer chain with triangular XXZ-clusters

TL;DR

This paper investigates the magneto-thermal properties of a spin-1/2 orthogonal-dimer chain with triangular XXZ-clusters, providing exact solutions for some ground states and numerical analysis for the quantum model, relevant to experimental magnetocaloric effects.

Contribution

It introduces an exactly solvable classical model with triangular XXZ-clusters and compares its properties with the quantum Heisenberg model, revealing qualitative and quantitative similarities.

Findings

Multiple ground states at fractional magnetizations

Spontaneous translational symmetry breaking and unit cell doubling

Qualitative agreement between simplified and quantum models

Abstract

We study a spin-1/2 model with triangular XXZ-clusters on the orthogonal-dimer chain in the presence of an external magnetic field. First, we discuss the case where the triangular clusters are coupled via intermediate "classical" Ising spins. Diagonalization of the triangular XXZ-clusters yields the exact ground states; finite-temperature properties are computed exactly by an additional transfer-matrix step. A detailed analysis reveals a large variety of ground states at magnetization M equal to fractions 0, 1/4, and 1/2 of the saturation magnetization M=1. Some of these ground states break translational symmetry spontaneously and give rise to doubling of the unit cell. In a second part we present complementary numerical data for the spin-1/2 Heisenberg model on the orthogonal-dimer chain. We analyze several examples of T=0 magnetization curves, entropy as a function of temperature T and magnetic field, and the associated magnetic cooling rate. Comparison of the two models shows that in certain situations the simplified exactly solvable model yields a qualitatively or sometimes even quantitatively accurate description of the more challenging quantum model, including a case which may be relevant to experimental observations of an enhanced magnetocaloric effect in the two-dimensional compound SrCu2(BO3)2.