Factorization, coherence, and asymmetry in the Heisenberg spin-
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 XXZ chain with Dzyaloshinskii-Moriya interaction in transverse magnetic field

Thakur, Pradeep; Durganandini, P.

doi:10.1103/physrevb.102.064409

Cited by 16 publications

(3 citation statements)

References 37 publications

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“…It is well known that external magnetic fields drive quantum phase transitions in the Heisenberg spin model. In previous studies, we showed that the spin-orbit coupling or the DMI can also drive phase transitions [10,11]. Interpreting the DMI as an electric field coupling to the polarization operator, we observed two types of MEE.…”

Section: Introductionmentioning

confidence: 50%

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.

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Section: Introductionmentioning

confidence: 50%

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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“…When magnetic field competes with a dominant J , the role of Dzyaloshinskii–Moriya and transverse coupling becomes increasingly important. There are several models in which a noncollinear spin configuration created by the Dzyaloshinskii-Moriya interaction becomes a mechanism for electric polarization. − …”

Section: Introductionmentioning

confidence: 99%

High Field Electrical Polarization and Magnetoelectric Coupling in Chiral Magnet [Cu(pym)(H₂O)₄]SiF₆·H₂O

Blockmon,

Lee,

Zhang

et al. 2024

Inorg. Chem.

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“…In fact, a variety of quantum coherence measures are introduced includ-ing the l 1 norm of coherence [47], the relative entropy of coherence [47], and the quantum Jensen-Shannon divergence [54]. Such various quantum coherence measures have been studied in detecting and characterizing quantum phase transitions for several spin chain models such as the transverse-field Ising model [55], the spin-1/2 anisotropic XY chain [56], the two-dimensional Kitaev honeycomb model [57], the anisotropic spin-1/2 Heisenberg XYZ chain with the Dzyaloshinskii-Moriya (DM) interaction in magnetic fields [58,59], the spin-1/2 XY chain with DM interaction under magnetic fields [54], the spin-1/2 XY model with three-spin interaction [60,61] and a transverse magnetic field [62], the compass chain under an alternating magnetic field [52], and the spin-1 XXZ chain [63,64] and bilinear-biquadratic chain [63]. Accordingly, as an example, the continuous (or secondorder) quantum phase transition belonging to the Ising universality class in the spin-1/2 XY model has shown to be captured by using quantum coherence measures such as the derivative of quantum coherence quantified by the l 1 norm of coherence [60], the relative entropy [55], the quantum Jensen-Shannon divergence [54], and the skew information [56].…”

Section: Introductionmentioning

confidence: 99%

Quantum coherence and spin nematic to nematic quantum phase transitions in biquadratic spin-1 and -2 XY chains with rhombic single-ion anisotropy

Mao,

Dai,

Cho

et al. 2020

Preprint

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We investigate quantum phase transitions and quantum coherence in infinite biquadratic spin-1 and -2 XY chains with rhombic single-ion anisotropy. All considered coherence measures such as the l1 norm of coherence, the relative entropy of coherence, and the quantum Jensen-Shannon divergence, and the quantum mutual information show consistently that singular behaviors occur for the spin-1 system, which enables to identity quantum phase transitions. For the spin-2 system, the relative entropy of coherence and the quantum mutual information properly detect no singular behavior in the whole system parameter range, while the l1 norm of coherence and the quantum Jensen-Shannon divergence show a conflicting singular behavior of their first-order derivatives. Examining local magnetic moments and spin quadrupole moments lead to the explicit identification of novel orderings of spin quadrupole moments with zero magnetic moments in the whole parameter space. We find the three uniaxial spin nematic quadrupole phases for the spin-1 system and the two biaxial spin nematic phases for the spin-2 system. For the spin-2 system, the two orthogonal biaxial spin nematic states are connected adiabatically without an explicit phase transition, which can be called quantum crossover. The quantum crossover region is estimated by using the quantum fidelity. Whereas for the spin-1 system, the two discontinuous quantum phase transitions occur between three distinct uniaxial spin nematic phases. We discuss the quantum coherence measures and the quantum mutual information in connection with the quantum phase transitions including the quantum crossover.

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Factorization, coherence, and asymmetry in the Heisenberg spin- 12 XXZ chain with Dzyaloshinskii-Moriya interaction in transverse magnetic field

Cited by 16 publications

References 37 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

High Field Electrical Polarization and Magnetoelectric Coupling in Chiral Magnet [Cu(pym)(H₂O)₄]SiF₆·H₂O

Quantum coherence and spin nematic to nematic quantum phase transitions in biquadratic spin-1 and -2 XY chains with rhombic single-ion anisotropy

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Factorization, coherence, and asymmetry in the Heisenberg spin- 12 XXZ chain with Dzyaloshinskii-Moriya interaction in transverse magnetic field

Cited by 16 publications

References 37 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

High Field Electrical Polarization and Magnetoelectric Coupling in Chiral Magnet [Cu(pym)(H2O)4]SiF6·H2O

Quantum coherence and spin nematic to nematic quantum phase transitions in biquadratic spin-1 and -2 XY chains with rhombic single-ion anisotropy

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High Field Electrical Polarization and Magnetoelectric Coupling in Chiral Magnet [Cu(pym)(H₂O)₄]SiF₆·H₂O