Magnetic and electric order in the spin-1/2 XX model with three-spin interactions

Thakur, Pradeep; Durganandini, P.

doi:10.1063/1.4948157

Cited by 3 publications

(4 citation statements)

References 9 publications

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“…We do not discuss this here but one can also show that the various orders can be tuned by external electric and magnetic fields as discussed earlier in Refs. [12,13]. We again mention here that the existence of a non-trivial MEE and the tunability of magnetization by external electric fields in the JAE model was discussed in Ref.…”

Section: Magnetization Electric Polarization Scalar Chirality and Vec...mentioning

confidence: 82%

“…A natural question to ask is -whether spontaneous magnetic and/or electric order can exist in such systems in absence of external fields (and without explicit breaking of parity through lattice geometry). We have partially answered this question in our earlier studies [12,13] where we considered a spin-1/2 XX chain with additional three-spin interactions: one of the type S x n S z n+1 S x n+2 + S y n S z n+1 S y n+2 denoted XZX + Y ZY , along with one of the type S x n S z n+1 S y n+2 −S y n S z n+1 S x n+2 , denoted XZY − Y ZX, and showed that there is a phase with spontaneous magnetic and electric order, i.e. in the absence of any external electric or magnetic fields.…”

Section: Introductionmentioning

confidence: 79%

“…In this paper, we revisit the model and show that when both the types XZX + Y ZY and XZY − Y ZX are present, the model exhibits exotic ground state behaviour, with a novel higher dimensional magnetoelectric order even in the absence of external fields. In earlier studies, we showed that when both the types XZX + Y ZY and XZY − Y ZX are present, the model shows a phase with spontaneous magnetic and electric order [12]. In this paper, we elaborate on the rich properties of this phase.…”

Section: Introductionmentioning

confidence: 83%

“…We also consider an external electric field which couples, within the KNB mechanism [9], to the electric polarization operator, ˆ P n,m = e nm × ˆ j n,m , where ˆ j n,m is the spin current operator between sites n and m, given by ĵn,m = S n × S m (2) and all material-dependent constants have been absorbed in the corresponding electric field. The spin current operator can be obtained from the equation of motion for the S z n operator as [12,24]:…”

Section: The Modelmentioning

confidence: 99%

See 3 more Smart Citations

Orbital antiferroelectricity and higher dimensional magnetoelectric order in the spin-$1/2$ XX chain extended with three-spin interactions

Thakur¹,

Durganandini²

2023

Preprint

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We study the spin-1/2 XX model extended with three-spin interactions of the XZX+YZY and XZY-YZX types. We solve the model exactly and obtain the ground state phase diagram as a function of the two three-spin coupling strengths. We show that even in absence of external electric and magnetic fields there is a phase which exhibits spontaneous magnetoelectric order when both XZX+YZY and XZY-YZX interactions are present. Specifically, in this regime, we show that there exists not only a non-zero magnetization and a scalar chirality but also a vector chiral order. Further, we show the existence of a plaquette vector chirality, or circulating chiral spin current loops, in the plaquettes n, n+1, n+2 with the sense of the current being opposite in adjacent plaquettes. Analogous to charge current loops giving rise to orbital magnetic dipole moments, the circulating spin current loops give rise to orbital electric dipole moments -a novel orbital antiferroelectricity. We characterize this phase by a higher-dimensional scalar and vector toroidal order. Such a novel phase with higher dimensional order arises because of the non-trivial topological connectivity resulting from the presence of both the three-spin interactions. We also study the combined effect of both types of three-spin interactions on the entanglement entropy.

show abstract

Section: Magnetization Electric Polarization Scalar Chirality and Vec...mentioning

confidence: 82%

Section: Introductionmentioning

confidence: 79%

Section: Introductionmentioning

confidence: 83%

Section: The Modelmentioning

confidence: 99%

See 2 more Smart Citations

Orbital antiferroelectricity and higher dimensional magnetoelectric order in the spin-$1/2$ XX chain extended with three-spin interactions

Thakur¹,

Durganandini²

2023

Preprint

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Spin chirality driven by the Dzyaloshinskii–Moriya interaction in one-dimensional antiferromagnetic chain

Guo

Zimeng

et al. 2023

AIP Advances

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Dzyaloshinskii–Moriya (DM) interactions cause many interesting physical features, such as topologically nontrivial magnetic skyrmions and chiral domain walls. These interactions become more pronounced in low-dimensional systems. We investigated a one-dimensional Heisenberg spin-1/2 chain with an asymmetric DM interaction. The results show that, upon applying a nonzero DM interaction, the Néel ground state transitions to a spin chiral phase. Moreover, using the mean-field approximation, we obtain the dispersion of the energy spectrum, from which the z-axis spin chirality is calculated as a function of the strength of the DM interaction for low-lying excitations. The results indicate that the DM interaction facilitates chirality for D z ≤ J and induces a spin-gapped chiral state.

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Orbital antiferroelectricity and higher dimensional magnetoelectric order in the spin-1/2 XX chain extended with three-spin interactions

Thakur

Durganandini

2023

Eur. Phys. J. B

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Magnetic and electric order in the spin-1/2 XX model with three-spin interactions

Cited by 3 publications

References 9 publications

Orbital antiferroelectricity and higher dimensional magnetoelectric order in the spin-$1/2$ XX chain extended with three-spin interactions

Orbital antiferroelectricity and higher dimensional magnetoelectric order in the spin-$1/2$ XX chain extended with three-spin interactions

Spin chirality driven by the Dzyaloshinskii–Moriya interaction in one-dimensional antiferromagnetic chain

Orbital antiferroelectricity and higher dimensional magnetoelectric order in the spin-1/2 XX chain extended with three-spin interactions

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