Magneto-elastic phase transition in a linear chain within the double and super-exchange model |
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| Authors: | JR Suárez E Vallejo O Navarro M Avignon |
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| Institution: | 1. Instituto de Investigaciones en Materiales, Universidad Nacional Autónoma de México, Apartado Postal 70-360, 04510 México D.F., Mexico;2. Institut Néel, Centre National de la Recherche Scientifique (CNRS) and Université Joseph Fourier, BP 166, 38042 Grenoble Cedex 9, France;1. Escuela Superior de Apan, Universidad Autónoma del Estado de Hidalgo, Carretera Apan-Calpulalpan Km. 8, Col. Chimalpa, C.P. 43920 Apan, Hidalgo, Mexico;2. Institut Néel, Centre National de la Recherche Scientifique (CNRS) and Université Joseph Fourier, BP 166, 38042 Grenoble Cedex 9, France;1. A.N. Nesmeyanov Institute of Organoelement Compounds, Russian Academy of Sciences, Vavilova St. 28, 119991 Moscow, Russia;2. Boreskov Institute of Catalysis, Siberian Branch of Russian Academy of Sciences, Lavrentieva Ave. 5, 630090 Novosibirsk, Russia;3. Novosibirsk State University, Pirogova St. 2, 630090 Novosibirsk, Russia;4. N.S. Kurnakov Institute of General and Inorganic Chemistry, Leninskii Prosp. 31, 119991 Moscow, Russia;1. College of Chemistry and Chemical Engineering, Jiangxi Normal University, Nanchang, Jiangxi 330022, China;2. College of Chemistry, Fuzhou University, Fuzhou, Fujian, 350108, China;3. State Key Laboratory of Photocatalysis on Energy and Environment, Fuzhou, Fujian, 350002, China;1. Department of Physics, Himachal Pradesh University, Shimla 171005, India;2. CSIR-National Physical Laboratory, Dr. K.S. Krishnan Road, New Delhi 110012, India;3. Department of Physics, IEC University, Atal Nagar, Kallujhanda, Baddi, India |
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| Abstract: | In this work a magneto-elastic phase transition in a linear chain was obtained due the interplay between magnetism and lattice distortion in a double and super-exchange model. We consider a linear chain consisting of classical localized spins interacting with itinerant electrons. Due to the double exchange interaction, localized spins align ferromagnetically. This ferromagnetic tendency is expected to be frustrated by the anti-ferromagnetic super-exchange interaction between neighbor localized spins. Additionally, the lattice parameter is allowed to have small changes, which contributes harmonically to the energy of the system. The phase diagram is obtained as a function of the electron density and the super-exchange interaction using a Monte Carlo minimization. At low super-exchange interaction energy phase transition between electron-full ferromagnetic distorted and electron-empty anti-ferromagnetic undistorted phases occurs. In this case all electrons and lattice distortions were found within the ferromagnetic domain. For high super-exchange interaction energy, phase transition between two site distorted periodic arrangement of independent magnetic polarons ordered anti-ferromagnetically and the electron-empty anti-ferromagnetic undistorted phase was found. For this high interaction energy, Wigner crystallization, lattice distortion and charge distribution inside two-site polarons were obtained. |
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