On the Remarkable Thermodynamic Properties of the Helical Multiferroic Quantum Spin Chain — Oak Academic Publishing
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On the Remarkable Thermodynamic Properties of the Helical Multiferroic Quantum Spin Chain
Nonlinear and Complex Systems Physics, Department of Physics, Ecole Normale Superieure, University of Yaounde 1, Yaounde, Cameroon
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Laboratoire d’Etude et de Recherche en Techniques Industrielles, Université de N’DJAMENA, N’Djamena, Tchad
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Nonlinear and Complex Systems Physics, Department of Physics, Ecole Normale Superieure, University of Yaounde 1, Yaounde, Cameroon
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Laboratoire d’Etude et de Recherche en Techniques Industrielles, Université de N’DJAMENA, N’Djamena, Tchad
,
Nonlinear and Complex Systems Physics, Department of Physics, Ecole Normale Superieure, University of Yaounde 1, Yaounde, Cameroon
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UNESCO-UNISA-iTLABS/NRF Africa Chair in Nano-Sciences and Nanotechnology, CGS, Department of Physics, University of South Africa, Muckleneuk Ridge, Pretoria, South Africa
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Department of Physics, Faculty of Science, Laboratoire de Matière Condensée, d’Electronique et de Traitement de Signal, University of Dschang, Dschang, Cameroon
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Laboratoire d’Etude et de Recherche en Techniques Industrielles, Université de Doyaba, Sarh, Tchad
1 Nonlinear and Complex Systems Physics, Department of Physics, Ecole Normale Superieure, University of Yaounde 1, Yaounde, Cameroon
2 Laboratoire d’Etude et de Recherche en Techniques Industrielles, Université de N’DJAMENA, N’Djamena, Tchad
3 Nonlinear and Complex Systems Physics, Department of Physics, Ecole Normale Superieure, University of Yaounde 1, Yaounde, Cameroon
4 Laboratoire d’Etude et de Recherche en Techniques Industrielles, Université de N’DJAMENA, N’Djamena, Tchad
5 Nonlinear and Complex Systems Physics, Department of Physics, Ecole Normale Superieure, University of Yaounde 1, Yaounde, Cameroon
6 UNESCO-UNISA-iTLABS/NRF Africa Chair in Nano-Sciences and Nanotechnology, CGS, Department of Physics, University of South Africa, Muckleneuk Ridge, Pretoria, South Africa
7 Department of Physics, Faculty of Science, Laboratoire de Matière Condensée, d’Electronique et de Traitement de Signal, University of Dschang, Dschang, Cameroon
8 Laboratoire d’Etude et de Recherche en Techniques Industrielles, Université de Doyaba, Sarh, Tchad
The flexibility of magnetoelectric coupling in RMnO 3 is enhanced by the sensitivity of such materials to diverse interactions. This complicates the straightforward comprehension of its various physicochemical properties, such as magnetoelectric properties. The present study measures the impact of the simultaneous action of Dzyaloshinsky-Moriya (DM) and Kaplan-Shekhtman-Entin-Wohlman-Aharony (KSEA) interactions on the thermodynamic ability to induce phase transition in a rare-earth (R) Mn perovskite of TbMnO 3 (TMO) helical compound at thermal equilibrium using entropy, heat capacity, and magnetoelectric (ME) coupling factor. We found that the behaviour of entropy is similar to that of the ME coupling factor, which emphasizes the metamagnetoelectric properties for ferric transition points of this order. The intrinsic physics of transition points, which is accurately described in terms of entropy, reveals a muddle caused by a rearrangement of magnetic moments. The magnetic rearrangement at the corresponding critical points of entropy shows a different loop than the heat capacity. Under the influence of the DM interaction, the KSEA interaction accelerates the decrease of specific heat and entropy as the ME coupling increases. However, the KSEA interaction reduces transition dynamics and opposes symmetrical inversion caused by DM interaction. The observed thermodynamic capacity changes caused by the simultaneous action of DM and KSEA interactions are the signature of a system attempting to minimize the possible distortions that are primarily responsible for the loss of quantum property.
Uhlenbeck, G.E. (1976) Fifty Years of Spin: Personal Reminiscences. Physics Today , 29, 43-48. https://doi.org/10.1063/1.3023519
Ohanian, H.C. (1986) What Is Spin? American Journal of Physics , 54, 500-505. https://doi.org/10.1119/1.14580
Fouokeng, G.C., Fodouop, F.K., Tchoffo, M., Fai, L.C. and Randrianantoandro, N. (2018) “Metamagnetoelectric” Effect in Multiferroics. Journal of Magnetism and Magnetic Materials , 453, 118-124. https://doi.org/10.1016/j.jmmm.2017.12.104
Xu, Y. (2013) Ferroelectric Materials and Their Applications. Elsevier.
Fodouop, F.K., Fouokeng, G.C., Tchoffo, M., Fai, L.C. and Randrianantoandro, N. (2019) Thermodynamics of Metamagnetoelectric Effect in Multiferroics. Journal of Magnetism and Magnetic Materials , 474, 456-461. https://doi.org/10.1016/j.jmmm.2018.10.080
Salje, E.K.H. (2012) Ferroelastic Materials. Annual Review of Materials Research , 42, 265-283. https://doi.org/10.1146/annurev-matsci-070511-155022
Smolenskiĭ, G.A. and Chupis, I.E. (1982) Ferroelectromagnets. Soviet Physics Uspekhi , 25, 475-493. https://doi.org/10.1070/pu1982v025n07abeh004570
Schmid, H. (1994) Multi-Ferroic Magnetoelectrics. Ferroelectrics , 162, 317-338. https://doi.org/10.1080/00150199408245120
Harris, A.B., Kenzelmann, M., Aharony, A. and Entin-Wohlman, O. (2008) Effect of Inversion Symmetry on the Incommensurate Order in Multiferroic R Mn 2 O 5 (R = Rare Earth). Physical Review B , 78, Article ID: 014407. https://doi.org/10.1103/physrevb.78.014407
Zhu, J.L., Yang, H.X., Feng, S.M., Wang, L.J., Liu, Q.Q., Jin, C.Q., et al. (2013) The Multiferroic Properties of Bi(Fe 1/2 Cr 1/ 2 )O 3 Compound. International Journal of Modern Physics B , 27, Article ID: 1362023. https://doi.org/10.1142/s0217979213620233
Li, B., Zhou, J., Li, L., Wang, X.J., Liu, X.H. and Zi, J. (2003) Ferroelectric Inverse Opals with Electrically Tunable Photonic Band Gap. Applied Physics Letters , 83, 4704-4706. https://doi.org/10.1063/1.1631737
Shimakawa, Y., Azuma, M. and Ichikawa, N. (2011) Multiferroic Compounds with Double-Perovskite Structures. Materials , 4, 153-168. https://doi.org/10.3390/ma4010153
Harris, A.B., Aharony, A. and Entin-Wohlman, O. (2008) Order Parameters and Phase Diagram of Multiferroic R Mn 2 O 5 . Physical Review Letters , 100, Article ID: 217202. https://doi.org/10.1103/physrevlett.100.217202
Kimura, T., Kawamoto, S., Yamada, I., Azuma, M., Takano, M. and Tokura, Y. (2003) Magnetocapacitance Effect in Multiferroic BiMnO 3 . Physical Review B , 67, Article ID: 180401. https://doi.org/10.1103/physrevb.67.180401
Cheng, Z., Wang, X., Dou, S., Kimura, H. and Ozawa, K. (2008) Improved Ferroelectric Properties in Multiferroic BiFeO 3 Thin Films through La and Nb Codoping. Physical Review B , 77, Article ID: 092101. https://doi.org/10.1103/physrevb.77.092101
Park, S., Choi, Y.J., Zhang, C.L. and Cheong, S. (2007) Ferroelectricity in an S = 1/2 Chain Cuprate. Physical Review Letters , 98, Article ID: 057601. https://doi.org/10.1103/physrevlett.98.057601
Seki, S., Yamasaki, Y., Soda, M., Matsuura, M., Hirota, K. and Tokura, Y. (2008) Correlation between Spin Helicity and an Electric Polarization Vector in Quantum-Spin Chain Magnet LiCu 2 O 2 . Physical Review Letters , 100, Article ID: 127201. https://doi.org/10.1103/physrevlett.100.127201
Katsura, H., Nagaosa, N. and Balatsky, A.V. (2005) Spin Current and Magnetoelectric Effect in Noncollinear Magnets. Physical Review Letters , 95, Article ID: 057205. https://doi.org/10.1103/physrevlett.95.057205
Smolenskii, G.A. and Bokov, V.A. (1964) Coexistence of Magnetic and Electric Ordering in Crystals. Journal of Applied Physics , 35, 915-918. https://doi.org/10.1063/1.1713535
Sahu, J.R., Serrao, C.R., Ray, N., Waghmare, U.V. and Rao, C.N.R. (2007) Rare Earth Chromites: A New Family of Multiferroics. Journal of Materials Chemistry , 17, 42-44. https://doi.org/10.1039/b612093h
Khomskii, D. (2009) Classifying Multiferroics: Mechanisms and Effects. Physics , 2, Article 20. https://doi.org/10.1103/physics.2.20
Tagantsev, A.K., Cross, L.E. and Fousek, J. (2010) Domains in Ferroic Crystals and Thin Films. Springer. https://doi.org/10.1007/978-1-4419-1417-0
Fouokeng, G.C., Fodouop, F.K., Tchoffo, M., Fai, L.C. and Randrianantoandro, N. (2018) “Metamagnetoelectric” Effect in Multiferroics. Journal of Magnetism and Magnetic Materials , 453, 118-124. https://doi.org/10.1016/j.jmmm.2017.12.104
Mochizuki, M. and Furukawa, N. (2009) Microscopic Model and Phase Diagrams of the Multiferroic Perovskite Manganites. Physical Review B , 80, Article ID: 134416. https://doi.org/10.1103/physrevb.80.134416
Matsuda, M., Fishman, R.S., Hong, T., Lee, C.H., Ushiyama, T., Yanagisawa, Y., et al. (2012) Magnetic Dispersion and Anisotropy in Multiferroic BiFeO 3 . Physical Review Letters , 109, Article ID: 067205. https://doi.org/10.1103/physrevlett.109.067205
Kenzelmann, M., Harris, A.B., Jonas, S., Broholm, C., Schefer, J., Kim, S.B., et al. (2005) Magnetic Inversion Symmetry Breaking and Ferroelectricity in TbMnO 3 . Physical Review Letters , 95, Article ID: 087206. https://doi.org/10.1103/physrevlett.95.087206
Blasco, J., Ritter, C., García, J., de Teresa, J.M., Pérez-Cacho, J. and Ibarra, M.R. (2000) Structural and Magnetic Study of Tb 1−x Ca x MnO 3 Perovskites. Physical Review B , 62, 5609-5618. https://doi.org/10.1103/physrevb.62.5609
Yasui, Y., Yanagisawa, Y., Okazaki, R. and Terasaki, I. (2013) Dielectric Anomaly in the Quasi-One-Dimensional Frustrated Spin-1/2 System Rb 2 (Cu 1−x M x ) 2 Mo 3 O 12 (M = Ni and Zn). Physical Review B , 87, Article ID: 054411. https://doi.org/10.1103/physrevb.87.054411
Reynolds, N., Mannig, A., Luetkens, H., Baines, C., Goko, T., Scheuermann, R., et al. (2019) Magnetoelectric Coupling without Long-Range Magnetic Order in the Spin-1/2 Multiferroic Rb 2 Cu 2 Mo 3 O 12 . Physical Review B , 99, Article ID: 214443. https://doi.org/10.1103/physrevb.99.214443
Jia, C., Onoda, S., Nagaosa, N. and Han, J.H. (2007) Microscopic Theory of Spin-Polarization Coupling in Multiferroic Transition Metal Oxides. Physical Review B , 76, Article ID: 144424. https://doi.org/10.1103/physrevb.76.144424
Arima, T., Tokunaga, A., Goto, T., Kimura, H., Noda, Y. and Tokura, Y. (2006) Collinear to Spiral Spin Transformation without Changing the Modulation Wavelength Upon Ferroelectric Transition in Tb 1−x Dy x MnO 3 . Physical Review Letters , 96, Article ID: 097202. https://doi.org/10.1103/physrevlett.96.097202
Jia, C. and Berakdar, J. (2011) Electric Field Effects on the Thermodynamics of Multiferroic Chains. Journal of Superconductivity and Novel Magnetism , 25, 2679-2681. https://doi.org/10.1007/s10948-011-1241-2
Cheong, S. and Mostovoy, M. (2007) Multiferroics: A Magnetic Twist for Ferroelectricity. Nature Materials , 6, 13-20. https://doi.org/10.1038/nmat1804
Fodouop, F.K., Fouokeng, G.C., Ateuafack, M.E., Tchoffo, M. and Fai, L.C. (2020) Metamagnetoelectric Effect in Multiferroics A 2 Cu 2 Mo 3 O 12 (A = Rb and Cs) Quantum Spin Chain. Physica B : Condensed Matter , 598, Article ID: 412455. https://doi.org/10.1016/j.physb.2020.412455
Alonso, J.A., Martínez-Lope, M.J., Casais, M.T. and Fernández-Díaz, M.T. (2000) Evolution of the Jahn-Teller Distortion of MnO 6 Octahedra in RmNo 3 Perovskites (R = Pr, Nd, Dy, Tb, Ho, Er, Y): A Neutron Diffraction Study. Inorganic Chemistry , 39, 917-923. https://doi.org/10.1021/ic990921e
Tchoffo, M., Fodouop, F.K., Fouokeng, G.C., Randrianantoandro, N. and Fai, L.C. (2019) Temperature-Dependent Interplay of Anisotropic Exchange Coupling and External Fields on Metamagnetoelectric Multiferroics. Materials Research Express , 6, Article ID: 096102. https://doi.org/10.1088/2053-1591/ab2a64
Vopson, M.M. (2015) Fundamentals of Multiferroic Materials and Their Possible Applications. Critical Reviews in Solid State and Materials Sciences , 40, 223-250. https://doi.org/10.1080/10408436.2014.992584
Rahman, A.U., Yang, M., Zangi, S.M. and Qiao, C. (2023) Probing a Hybrid Channel for the Dynamics of Non-Local Features. Symmetry , 15, Article 2189. https://doi.org/10.3390/sym15122189