Classical correlation and quantum entanglement in the mixed-spin Ising-XY model with Dzyaloshinskii–Moriya interaction

Abstract

In the present work, initially a mixed-three-spin (1/2,1,1/2) cell of a mixed-N -spin chain with Ising-XY model is introduced, for which pair spins (1,1/2) have Ising-type interaction and pair spins (1/2,1/2) have both XY-type and Dzyaloshinskii-Moriya(DM) interactions together. An external homogeneous magnetic field B is considered for the system in thermal equilibrium. Integer-spins have a single-ion anisotropy property with coefficient ζ. Then, we investigate the quantum entanglement between half-spins (1/2,1/2), by means of the concurrence. Classical correlation(CC) for this pair of spins is investigated as well as the concurrence and some interesting the temperature, the magnetic field and the DM interaction properties are expressed. Moreover, single-ion anisotropy effects on the correlation between half-spins is verified. According to the verifications based on the communication channels category by D. Rossini, V. Giovannetti and R. Fazio 63 , we theoretically consider such tripartite spin model as an ideal quantum channel, then calculate its information transmission rate and express some differences in behaviour between this suggested model and introduced simple models in the previous works(chains without spin integer and DM interaction) from information transferring protocol point of view. March 15, 2018 0:19 WSPC/INSTRUCTION FILE ws-ijmpb 2 H. ARIAN ZAD AND H. MOVAHHEDIAN the concurrence 16,17,18 , negativity 22,23,24 , quantum discord 25,26,27,28,29,30 , quantum disorder 31 , correlation functions 3,28 and von Neumann entropies 11,32,33,34 . Somewhere, spin models have been studied with the DM interaction 4,35,36,37,38,39 , that such interaction arises naturally in the perturbation theory due to the spinorbit coupling in magnetic systems.Straightforward researches have been caried out to investigate interaction between the next-nearest-neighbour sites of a Heisenberg spin model in Refs. 40,41,42,43 . Such interaction may has an essential role to generate a Heisenberg model with diamond chain topology by organizing mixture of particles that have different spins. Motivated by this issue, several studies have been done on the mixture of different spins with various models and many interesting results have been reported 44,45,46 . Diamond chains as attractive structures among these spin models were exactly investigated from quantum entanglement, quantum correlation, phase transitions etc. view points 47,48,49,50,51,52 .The motivation for the study of a diamond chain with the Ising-XXZ model is that it can describes real materials such as natural mineral azurite Cu 3 (CO 3 ) 2 (OH) 2 , where according to experimental results, theoretical calculations are interestingly reasonable in this case 53 (another polymeric coordination compounds such as M 3 (OH) 2 with spin-1 Heisenberg diamond chain were investigated in the literature 54 ). Another quantum spin models consisting of diamond-shaped cells can be theoretically suggested and solved. In this regard, we here are interested to introduce a few body diamond c...

Quantum steering in Heisenberg models with Dzyaloshinskii–Moriya interactions

“…In the strong magnetic field regime, as demonstrated in Ref. [35], the field influence on the concurrence behavior will overcome the DM interaction, such that the concurrence drops again and all the lines shown in Fig. 4(a) tend to overlap.…”

“…Previous studies [34] demonstrated that the DM interaction can delay the quantum phase transition, where the concurrence suddenly drops to zero at a finite magnetic field in the regime 0 < |B| < 5, i.e., the critical value |B c | ≈ 2 for D z = 1.5 as shown by the red line labeled with '+' in the figure. In addition, previous investigation [35] showed that the concurrence has a maximum at a low temperature and with a weak magnetic field applied. As we can see, there is an additional peak in the regime 0 < |B| < 5.…”

Pairwise Entanglement in Double-Tetrahedral Chain with Different Landé g-Factors of the Ising and Heisenberg Spins

“…In condensed-matter physics, this phenomenon provides a new perspective in understanding collective features of quantum many-body systems [3]. Regarding to novel aspects of the quantum entanglement, quantum spin chains are of particular interest, since they provide a suitable playground for exact study of the phenomenon [4].…”

Thermal entanglement in the mixed-spin Ising-Heisenberg double sawtooth frustrated ladder

“…There are quite lots of reasons to investigate the entanglement [1,2,3,4,5,6,7,8,9] and bipartite correlations [10,11,12] for the Heisenberg models, Email addresses: arianzad.hamid@mshdiau.ac.ir (H. Arian Zad), ananik@mail.yerphi.am (N. Ananikian) where they have been the main subject of numerous papers for a long period of time. for instance, There are many applications of the entanglement in quantum teleportation [3], quantum NMR and quantum information processing [13,14,15,16].…”

“…In solid state physics and condensed matter science, the main goal of numerous papers is providing the exact solution for the various generalized versions of the mixed-spin (1,1/2) Ising-Heisenberg chains, which bring a deep insight into how the thermal and the magnetic properties are dependent on the spins-1/2 and spin-1 ordering [9,19,22,28,29]. Recently, we investigated fermionic Ising-XXZ Heisenberg double sawtooth ladder in Ref.…”