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Dynamic of bipartite and tripartite quantum coherence of a polarized 1/2-XXZ Heisenberg spin chain with modulated Dzyaloshinskii-Moriya interaction

Georges Collince Fouokeng, C. Tahabo Ngueldjou, Martin Tchoffo

Published Jun 29, 2023• 0 citations

Abstract

Abstract The dynamic analysis of quantum coherence of a polarized 1/2 − XXZ Heisenberg spins chain model with modulated Dzyaloshinskii-Moriya interaction and applied magnetic field, is investigated using quantum renormalization group approaches. In a thermodynamic limits, we derived the coherence factor and the monogamy of entanglement of a bipartite and tripartite states of the modulated system. We find that with increasing the anisotropy factor and decreasing the Dzyaloshinsky-Moriya factor Dz, the quantum coherence and the monogamy of entanglement decrease for the considered model of antiferromagnetic materials and exhibits non-analyticity around the critical point △ = 1 of the anisotropy factor. Note that, the decreasing is more important in the weak regime of the external magnetic field when applied. In addition, we perceive that the non-analytical behavior around the critical value of the anisotropy factor translate quantum phase transition from spin liquid to Néel phase and vice-versa depending on whether spin is localised on an even or odd site in the chain. The application of an external electric tens play a role in stabilizing the spins in preferred orientations and reenforce correlations beneficial for ferroelectricity that opens a route to switch magnetoelectricity with electric polarazation and vice-versa.

DOI: 10.21203/rs.3.rs-3102047/v1

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We study the interplay of electric and magnetic order in the one-dimensional Heisenberg spin-

\frac{1}{2}

XXZ chain with large Ising anisotropy in the presence of the Dzyaloshinskii-Moriya (DM) interaction and with longitudinal and transverse magnetic fields, interpreting the DM interaction as a coupling between the local electric polarization and an external electric field. We obtain the ground state phase diagram using the density matrix renormalization group method and compute various ground state quantities like the magnetization, staggered magnetization, electric polarization and spin correlation functions, etc. In the presence of both longitudinal and transverse magnetic fields, there are three different phases corresponding to a gapped N\'eel phase with antiferromagnetic (AF) order, gapped saturated phase, and a critical incommensurate gapless phase. The external electric field modifies the phase boundaries but does not lead to any new phases. Both external magnetic fields and electric fields can be used to tune between the phases. We also show that the transverse magnetic field induces a vector chiral order in the N\'eel phase (even in the absence of an electric field) which can be interpreted as an electric polarization in a direction parallel to the AF order.

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Quantum entanglement represents a fundamental feature of quantum many-body systems. We combine tripartite entanglement with quantum renormalization group theory to study the quantum critical phenomena. The Ising model and the Heisenberg X X Z model in the presence of the Dzyaloshinskii–Moriya interaction are adopted as the research objects. We identify that the tripartite entanglement can signal the critical point. The derivative of tripartite entanglement shows singularity as the spin chain size increases. Furthermore, the intuitive scaling behavior of the system selected is studied and the result allows us to precisely quantify the correlation exponent by utilizing the power law .