Magnetocaloric effect in spin-1/2 XX chains with three-spin interactions

Exact description of the magnetoelectric effect in the spin-1/2 XXZ-chain with DzyaloshinskiiMoriya interaction Brockmann, M.; Kluemper, A.; Ohanyan, V. Published in:Physical Review B DOI:10.1103/PhysRevB.87.054407 Link to publicationCitation for published version (APA): Brockmann, M., Kluemper, A., & Ohanyan, V. (2013). Exact description of the magnetoelectric effect in the spin-1/2 XXZ-chain with Dzyaloshinskii-Moriya interaction. Physical Review B, 87(5), 054407. https://doi.org/10.1103/PhysRevB.87.054407 General rightsIt is not permitted to download or to forward/distribute the text or part of it without the consent of the author(s) and/or copyright holder(s), other than for strictly personal, individual use, unless the work is under an open content license (like Creative Commons). Disclaimer/Complaints regulationsIf you believe that digital publication of certain material infringes any of your rights or (privacy) interests, please let the Library know, stating your reasons. In case of a legitimate complaint, the Library will make the material inaccessible and/or remove it from the website. Please Ask the Library: http://uba.uva.nl/en/contact, or a letter to: Library of the University of Amsterdam, Secretariat, Singel 425, 1012 WP Amsterdam, The Netherlands. You will be contacted as soon as possible. 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 and nonlinear integral equations 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.

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“…45). So, one gets for the free energy f per spin, the magnetization M, the polarization P , and the magnetoelectric tensor α:…”

Section: A Free-fermion Casementioning

confidence: 99%

Exact description of magnetoelectric effect in the spin-12XXZ chain with Dzyaloshinskii-Moriya interaction

2013

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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

You

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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“…There are several studies which explore the phase transition in similar or slightly different three site interacting Hamiltonians using tools like zero and finite temperature magnetization and magnetization susceptibility 29,30 and transport properties like spin Drude weight and thermal Drude weight 30,31 . The effect of three site interaction has also been studied using magnetocaloric effect 32 or by using dynamic structure factors of the ground state 33 . On the other hand, the effect of three site interacting Hamiltonian is relatively less explored using quantum information theoretic measures which is the focus of the present paper.…”

mentioning

confidence: 99%

Three-site interacting spin chain in a staggered field: Fidelity versus Loschmidt echo

Divakaran

2013

Phys. Rev. E

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We study the the ground state fidelity and the ground state Loschmidt echo of a three site interacting XX chain in presence of a staggered field which exhibits special types of quantum phase transitions due to change in the topology of the Fermi surface, apart from quantum phase transitions from gapped to gapless phases. We find that on one hand, the fidelity is able to detect only the boundaries separating the gapped from the gapless phase; it is completely insensitive to the phase transition from two Fermi points region to four Fermi points region lying within this gapless phase. On the other hand, Loschmidt echo shows a dip only at a special point in the entire phase diagram and hence fails to detect any quantum phase transition associated with the present model. We provide appropriate arguments in support of this anomalous behavior.

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Magnetocaloric effect in spin-1/2 XX chains with three-spin interactions

Cited by 36 publications

References 41 publications

Exact description of magnetoelectric effect in the spin-12XXZ chain with Dzyaloshinskii-Moriya interaction

Exact description of magnetoelectric effect in the spin-12XXZ chain with Dzyaloshinskii-Moriya interaction

Emergent phases in a compass chain with multisite interactions

Three-site interacting spin chain in a staggered field: Fidelity versus Loschmidt echo

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