Magnetism-driven ferroelectricity in spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac><mml:mi> </mml:mi><mml:mrow><mml:mi>X</mml:mi><mml:mi>Y</mml:mi></mml:mrow></mml:math>chains

Menchyshyn, O.; Ohanyan, Vadim; Verkholyak, Taras; Krokhmalskii, Taras; Derzhko, Oleg

doi:10.1103/physrevb.92.184427

Cited by 28 publications

(37 citation statements)

References 49 publications

(71 reference statements)

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“…One is the (XZX+YZY)-type of three-site interactions [11][12][13][14][15][16], where the exchange interaction for next nearest neighbor sites takes on XX form. The other form of three-site interactions is the (XZY−YZX) type [14][15][16][17]. It has been proven that the XX chain with the (XZX+YZY)-type of threesite interactions can be transformed to the one with the (XZY−YZX)-type and Dzyaloshinskii-Moriya (DM) interaction by a local spin rotation [11,16].…”

Section: Introductionmentioning

confidence: 99%

Emergent phases in a compass chain with multisite interactions

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Zhang

et al. 2017

Phys. Rev. B

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We study a dimerised spin chain with biaxial magnetic interacting ions in the presence of an externally induced three-site interactions out of equilibrium. In the general case, the three-site interactions play a role in renormalizing the effective uniform magnetic field. We find that the existence of zero-energy Majorana modes is intricately related to the sign of Pfaffian of the Bogoliubov-de Gennes Hamiltonian and the relevant Z2 topological invariant. In contrast, we show that an exotic spin liquid phase can emerge in the compass limit through a Berezinskii-Kosterlitz-Thouless (BKT) quantum phase transition. Such a BKT transition is characterized by a large dynamic exponent z = 4, and the spin-liquid phase is robust under a uniform magnetic field. We find the relative entropy and the quantum discord can signal the BKT transitions. We also uncover a few differences in deriving the correlation functions for the systems with broken reflection symmetry.

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Section: Introductionmentioning

confidence: 99%

Emergent phases in a compass chain with multisite interactions

You

Zhang

et al. 2017

Phys. Rev. B

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“…Another contribution of electric polarization may come from the spin current triggered by the three-site interac- tions in the following way [39]:…”

Section: Magnetoelectric Effectmentioning

confidence: 99%

“…which defines the current j The electric polarization has two sources [39]. The first term originates from the spin-current model, given by…”

Section: Magnetoelectric Effectmentioning

confidence: 99%

“…Experimentally, it can be realized in NMR quantum simulators [43,44] or optical lattices [45]. Three-site spin interactions have been exhibited the multiferroics [46] and the magnetoelectric effect [33,39].…”

Section: Introductionmentioning

confidence: 99%

“…Recently three-site interactions received considerable attention in a bit diverse context [28][29][30][31][32][33][34][35][36][37][38][39][40][41]. They also occur in an effective spin model in a magnetic field obtained from a 1D plaquette orbital model by an exact transformation, with spin dimers that replace plaquettes.…”

Section: Introductionmentioning

confidence: 99%

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Quantum phase transitions in a generalized compass chain with three-site interactions

2016

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We consider a class of one-dimensional compass models with XYZ−YZX-type of three-site exchange interaction in an external magnetic field. We present the exact solution derived by means of Jordan-Wigner transformation, and study the excitation gap, spin correlations, and establish the phase diagram. Besides the canted antiferromagnetic and polarized phases, the three-site interactions induce two distinct chiral phases, corresponding to gapless spinless-fermion systems having two or four Fermi points. We find that the z component of scalar chirality operator can act as an order parameter for these chiral phases. We also find that the thermodynamic quantities including the Wilson ratio can characterize the liquid phases. Finally, a nontrivial magnetoelectric effect is explored, and we show that the polarization can be manipulated by the magnetic field in the absence of electric field. Published in Physical Review B 93, 214417 (2016).

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Magnetic phase transition induced by an electric field in coupled spin chains with magnetoelectric interaction

Sznajd

2019

Journal of Magnetism and Magnetic Materials

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Magnetism-driven ferroelectricity in spin-12 XYchains

Cited by 28 publications

References 49 publications

Emergent phases in a compass chain with multisite interactions

Emergent phases in a compass chain with multisite interactions

Quantum phase transitions in a generalized compass chain with three-site interactions

Magnetic phase transition induced by an electric field in coupled spin chains with magnetoelectric interaction

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