Multiple frustration-induced plateaus in a magnetization process of the mixed spin-1/2 and spin-3/2 Ising-Heisenberg diamond chain

Abstract

Magnetization process of the mixed spin-1/2 and spin-3/2 Ising-Heisenberg diamond chain is examined by combining three exact analytical techniques: Kambe projection method, decoration-iteration transformation and transfer-matrix method. Multiple frustrationinduced plateaus in a magnetization process of this geometrically frustrated system are found provided that a relative ratio between the antiferromagnetic Heisenberg-and Ising-type interactions exceeds some particular value. By contrast, there is just a single magnetization plateau if the frustrating Heisenberg interaction is sufficiently small compared to the Ising one.

Antiferromagnetic sawtooth chain with Heisenberg and Ising bonds

“…Namely, we considered the pairs of S = 1/2 quantum spins interacting with XXZ interaction arranged in the sawtooth chain in such a way which allows one to use transfer-matrix technique for exact calculations. This result continues the series of investigations of the subject performed earlier for other onedimensional spin systems with Ising and Heisenberg bonds [13][14][15][16][17][18][19][20][21][22][23][24]. These results are not only of academic interest.…”

“…One can mention a formal approach to these problem which is not justified properly yet but in some particular cases demonstrates rather good agreement with experimental data and numerical calculations. The approximation consists in replacement of some or all interaction bonds with Ising ones [13][14][15][16][17][18][19][20][21][22][23][24]. As a result one can obtain an interacting spin system which allows one to calculate all thermodynamic functions analytically.…”

Quantum decoration transformation for spin models

“…The decoration transformation can also be applied to classical-quantum spin models, such as Ising-Heisenberg models. Several quasi-one-dimensional models have been investigated, similar to that diamond-like chain [12,13,14,15,16,17,18,19,20] and references therein, as well as two-dimensional lattice spin models [21,22,23,24,25,26,27,28,29]. Furthermore, it can be applied even for three-dimensional decorated systems [30], this approach can also be applied combining with Monte Carlo simulation for 3D systems [31,32].…”

Lattice distortions in a sawtooth chain with Heisenberg and Ising bonds

“…Despite great successes in exact describing of thermodynamic functions for integrable models by TBA and especially by QTM 25,26 , for many other physically and principally important low-dimensional strongly correlated lattice models only laborious numerical calculations provide more or less reliable results for finite T thermodynamics. Recently, many papers have been devoted to exact solution of the low-dimensional lattice spin models with mixed Ising and Heisenberg bonds [27][28][29][30][31][32][33][34][35][36][37] or just to pure Ising counterparts of known Heisenberg models with various one-dimensional topologies of bonds [38][39][40][41][42] . These exact solutions for modified models have much in common with the numerical and experimental results obtained for their Heisenberg counterparts.…”

“…[27] as the model of magnetic structure of the compound Cu(3-Clpy) 2 (N 3 ) 2 , where 3-Clpy indicates 3-Chloropyridine. These two examples are the simplest cases of various onedimensional spin lattice models with clusters of spins interacting with Heisenberg interaction and interacting to each other only through Ising bonds, which have been investigated intensively during last decade [27][28][29][30][31][32][33][34][35][36][37] . Partition function and, thus, all thermodynamic functions for such models can be obtained analytically.…”