Thermodynamic properties of a tetramer Ising-Heisenberg bond-alternating chain as a model system forCu(3−Chloropyridine)2(N3

Abstract

Thermodynamic properties of a tetramer ferro-ferro-antiferro-antiferromagnetic Ising-Heisenberg bond alternating chain are investigated by the use of an exact mapping transformation technique. Exact results for the magnetization, susceptibility and specific heat in the zero as well as nonzero magnetic field are presented and discussed in detail. The results obtained from the mapping are compared with the relevant experimental data of Cu(3-Clpy)2(N3)2 (3-Clpy=3-Chloropyridine).

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.…”

Fractional magnetization plateaus of the spin-12Heisenberg orthogonal-dimer chain: Strong-coupling approach developed from the exactly solved Ising-Heisenberg model

“…From the experimental point of view, the fractional plateaux have been detected in magnetization curves of a variety of insulating magnetic materials, which mostly provide real-world representatives of zero-dimensional Heisenberg spin clusters 4-10 , one-dimensional Heisenberg spin chains [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27] or twodimensional Heisenberg spin lattices [28][29][30][31][32][33][34][35][36] . The fractional magnetization plateaux of onedimensional quantum Heisenberg chains should satisfy the quantization condition p(S u − m u ) ∈ Z (p is a period of the ground state, S u and m u are the total spin and total magnetization per elementary unit, Z is a set of the integer numbers), which has been derived by Oshikawa, Yamanaka, Affleck (OYA) by extending the Lieb-SchultzMattis theorem [37][38][39] .…”

“…To the best of our knowledge, all intermediate plateaux of the quantum Heisenberg chains observed to date experimentally are in agreement with the OYA rule when assuming either simple period p = 1 or just the period doubling p = 2. For instance, the experimental representatives of the spin-1/2 Heisenberg diamond chain [11][12][13] , the trimerized spin-1/2 Heisenberg chain [14][15][16] and the mixed spin-(1/2,1) Heisenberg chain 17 display one-third plateau, the experimental realizations of the tetramerized spin-1/2 Heisenberg chain [18][19][20] , the spin-1/2 Heisenberg bond alternating chain 21 as well as the spin-1 Heisenberg bond alternating chain 22 exhibit one-half plateau, the experimental realization of the spin-1 Heisenberg ladder 23,24 shows one-quarter plateau, etc.…”

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.…”