Magnetic phase diagram of a spin-1/2 
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 chain with modulated Dzyaloshinskii-Moriya interaction

Japaridze, G. I.; Cheraghi, Hadi; Mahdavifar, S.

doi:10.1103/physreve.104.014134

Cited by 9 publications

(3 citation statements)

References 130 publications

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“…is the strength of interactions between the nearestneighbor spins, γ is the anisotropic parameter, and h is the external transverse field. The model can be transformed to the XY chain in the alternating field h h h 1 [61][62][63][64][65] via the duality transformation [56,66]. For convenience, we set the parameter…”

Section: Modelsmentioning

confidence: 99%

Relaxation dynamics in the alternating XY chain following a quantum quench

Cao,

Hu,

Tong

et al. 2024

Phys. Scr.

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We investigate the relaxation dynamics of the fermion two-point correlation function $C_{mn}(t)=\langle\psi(t)|c_{m}^{\dag}c_{n}|\psi(t)\rangle$ in the XY chain with alternating nearest-neighbor hopping interaction after a quench. We find that the deviation $\delta C_{mn}(t)=C_{mn}(t)-C_{mn}(\infty)$ decays with time following the power law behavior $t^{-\mu}$, where the exponent $\mu$ depends on whether the quench is to the commensurate phase ($\mu=1$) or incommensurate phase ($\mu=\frac{1}{2}$). This decay of $\delta C_{mn}(t)$ arises from the transient behavior of the double-excited quasiparticle occupations and the transitions between different excitation spectra. Furthermore, we find that the steady value $C_{mn}(\infty)$ only involves the average fermion occupation numbers (i.e. the average excited single particle) over the time-evolved state, which are different from the ground state expectation values. We also observe nonanalytic singularities in the steady value $C_{mn}(\infty)$ for the quench to the critical points of the quantum phase transitions (QPTs), suggesting its potential use as a signature of QPTs.

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Section: Modelsmentioning

confidence: 99%

Relaxation dynamics in the alternating XY chain following a quantum quench

Cao,

Hu,

Tong

et al. 2024

Phys. Scr.

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show abstract

“…However, this study only concerned systems whose interactions are limited to the first neighbors, but with vector spin variables on each site of the network. This is how the modulation effects coming from the competition between the usual Heisenberg exchange, scalar in nature, and an additional exchange associated with the vector products of DM interactions have been taken into account [30,32,33].…”

Section: Introductionmentioning

confidence: 99%

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

Fouokeng,

Ngueldjou,

Tchoffo

2023

Preprint

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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.

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“…The roles of spatial anisotropy, DM interactions and quantum fluctuations on the magnetization process of a triangular antiferromagnet were considered [30]. The ground-state phase diagram of a one-dimensional XXZ chain with a spatially modulated DMI in the presence of an alternating magnetic field was calculated [31]. The steady-state phase diagram of the dissipative XYZ model on a two-dimensional triangular lattice by means of cluster mean-field approximation was constructed [32].…”

Section: Introductionmentioning

confidence: 99%

Ferromagnetic Heisenberg model with the Dzyaloshinskii-Moriya interaction

Albayrak¹

2022

Condens. Matter Phys.

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The spin-1/2 Heisenberg model is formulated in terms of a mean-field approximation (MFA) by using the matrix forms of spin operators Ŝx, Ŝy and Ŝz in three-dimensions. The considered Hamiltonian consists of bilinear exchange interaction parameters (Jx, Jy, Jz), Dzyaloshinskii-Moriya interactions (Δx, Δy, Δz) and external magnetic field components (Hx, Hy, Hz). The magnetization and its components are obtained in the MFA with the general anisotropic case with Jx ≠ Jy ≠ Jz for various values of coordination numbers q. Then, the thermal variations of magnetizations are investigated in detail to obtain the phase diagrams of the model for the isotropic case with Jx = Jy = Jz > 0. It is found that the model exhibits ferromagnetic, paramagnetic, random phase regions and an extra ferromagnetic phase at which the components of magnetizations present branching.

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Magnetic phase diagram of a spin-1/2 XXZ chain with modulated Dzyaloshinskii-Moriya interaction

Cited by 9 publications

References 130 publications

Relaxation dynamics in the alternating XY chain following a quantum quench

Relaxation dynamics in the alternating XY chain following a quantum quench

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

Ferromagnetic Heisenberg model with the Dzyaloshinskii-Moriya interaction

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