Exact description of the magnetoelectric effect in the spin-1/2 XXZ-chain with Dzyaloshinskii-Moriya interaction

Abstract

We consider a simple integrable model of a spin chain exhibiting the Magnetoelectric Effect (MEE). Starting from the periodic S=1/2 XXZ-chain with Dzyaloshinskii-Moriya terms, which we consider as a local electric polarization in the spirit of the Katsura-Nagaosa-Baladsky (KNB) mechanism, we perform the mapping onto the conventional XXZ-chain with twisted boundary conditions. Using the techniques of Quantum Transfer Matrix (QTM) and Non-Linear Integral Equations (NLIE) we obtain the magnetization, electric polarization and magnetoelectric tensor as functions of magnetic and electric field for arbitrary temperatures. We investigate these dependencies as well as the thermal behavior of the above mentioned physical quantities, especially in the low-temperature regime. We found several regimes of polarization. Adjusting the magnetic field one can switch the system from one regime to another. The features of the critical properties connected with the MEE are also illustrated.

11 pages; 6 figures

References in corpus (17)

• Spin current and magneto-electric effect in non-collinear magnets
• Role of the Dzyaloshinskii-Moriya interaction in multiferroic perovskites
• Magnetically driven ferroelectric order in Ni${}_3$V${}_2$O${}_8$
• Ferroelectric polarization flop in a frustrated magnet MnWO${}_4$ induced by magnetic fields
• Spin-polarization coupling in multiferroic transition-metal oxides
• Correlation between spin helicity and electric polarization vector in quantum-spin chain magnet LiCu${}_2$O${}_2$
• Switching the Ferroelectric Polarization by External Magnetic Fields in the Spin = 1/2 Chain Cuprate LiCuVO4
• Cupric chloride CuCl2 as an S=1/2 chain multiferroic
• Hidden Grassmann Structure in the XXZ Model III: Introducing Matsubara direction
• Dynamic probes of quantum spin chains with the Dzyaloshinskii-Moriya interaction
• Dynamic properties of the spin-1/2 XY chain with three-site interactions
• A note on the spin-1/2 XXZ chain concerning its relation to the Bose gas
• Magnetocaloric effect in spin-1/2 $XX$ chains with three-spin interactions
• Spinons and helimagnons in the frustrated Heisenberg chain
• Thermodynamics of antiferromagnetic alternating spin chains
• Quantum phase transitions and thermodynamics of quantum antiferromagnets with competing interactions
• Dynamic structure factors of the spin-1/2 XX chain with Dzyaloshinskii-Moriya interaction

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• Conventional and inverse magnetocaloric and electrocaloric effects of a mixed spin-(1/2, 1) Heisenberg dimer
• Enhanced magnetoelectric effect near a field-driven zero-temperature quantum phase transition of the spin-1/2 Heisenberg-Ising ladder
• Magnetocaloric effect in the spin-$1/2$ chain with competing interactions
• Influence of $XY$ anisotropy on a magnetoelectric effect in spin-1/2 $XY$ chain in a transverse magnetic field
• Conventional and rotating magnetoelectric effect of a half-filled spin-electron model on a doubly decorated square lattice
• Reciprocal Floquet thermalization in one-dimensional Rydberg atom array
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