Exactly solvable spin-1 Ising–Heisenberg diamond chain with the second-neighbor interaction between nodal spins

Abstract

Abstract.The spin-1 Ising-Heisenberg diamond chain with the second-neighbor interaction between the nodal spins is rigorously solved using the transfer-matrix method. Exact results for the ground state, magnetization process and specific heat are presented and discussed in particular. It is shown that the further-neighbor interaction between the nodal spins gives rise to three novel ground states with a translationally broken symmetry, but at the same time, it does not increases the total number of intermediate plateaus in a zero-temperature magnetization curve compared with the simplified model without this interaction term. The zero-field specific heat displays interesting thermal dependencies with a single-or double-peak structure.

Exactly solved mixed spin-(1,1/2) Ising–Heisenberg distorted diamond chain

“…7(a) that the susceptibility times temperature product increases over the whole 28 temperature range when the distortion parameter δĨ increases from zero up toĨ AF|QAF . Contrary to this, the susceptibility 29 times temperature product increases only at relatively higher temperatures upon further strengthening of the distortion 30 parameter fromĨ AF|QAF to 1, while the reverse trend is generally observed at lower temperatures (see Fig. 7(b)).…”

“…27 28 Now, let us proceed to a discussion of the most interesting results obtained for the mixed spin-(1,1/2) Ising-Heisenberg 29 distorted diamond chain with the antiferromagnetic Ising interactions I 1 > 0 and I 2 > 0. To reduce number of free 30 parameters, we will further assume the XXZ Heisenberg interaction J 1 = J 2 = J∆, J 3 = J, which may be either 31 antiferromagnetic or ferromagnetic in character (∆ determines a spatial anisotropy in this interaction). Without loss of 32 generality, we may also assume that one of two considered Ising couplings is stronger than the other one I 1 ≥ I 2 and to 33 introduce the difference between both Ising coupling constants δI = I 1 − I 2 > 0.…”

“…The physical origin of all observed low-temperature peaks of 28 the specific-heat has been clarified on the grounds of preferred thermal excitations. It is worthwhile to remark that the 29 investigated spin system reduces to the mixed spin-(1,1/2) Ising-Heisenberg doubly decorated chain in the particular case 30 I 2 = 0 (δĨ = 1) and the symmetric mixed spin-(1,1/2) Ising-Heisenberg diamond chain in the other particular case I 1 = I 2…”

Non-conserved magnetization operator and ‘fire-and-ice’ ground states in the Ising-Heisenberg diamond chain

“…(31) and (38) are the examples of Eqs. (41) and (40) respectively. Taking, g 3 > 0 and the rest g-factors negative one can obtain the same interfaces given by the Eqs.…”

Magnetic and thermodynamic properties of the octanuclear nickel phosphonate-based cage

“…Therefore quantum phase transitions in various spin models [31,32,33,34,35,36,37,38,39] have been amongst the most interesting topics to study in statistical mechanics. Further studies of quantum spin models have provided precise predictions for ground-state phase transitions in the presence of external magnetic fields, which can be induced through exchange couplings [40,41,42,43]. Research attention currently focuses on zero-and lowtemperature magnetization curves of small spin clusters consisting of transitionmetals and intriguing features such as fractional magnetization (quasi)plateaus, magnetization jumps and magnetization ramps [25,26,27,28,29] add to the interest.…”