Frustration effect and possibility of spin quantum liquid state in a tetrahedral spin ½ molecule |
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| Institution: | 1. Department of Mathematics, Faculty of Basic Sciences University of Wah, Wah Cantt, Pakistan;2. Department of Mathematics, Faculty of Natural Sciences, HITEC University, Taxila Cantt, Pakistan;3. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, Shandong, 266590, China;1. Laboratoire de Physique de la Matière Condensée, Faculté des Sciences Ben M''sik, Université Hassan II, B. P. 7955, Casablanca, Maroc;2. ERMAM, Faculté Polydisciplinaire de Ouarzazate, Université Ibn Zohr Agadir, Maroc |
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| Abstract: | In this work, we studied the magnetic properties of a regularly tetrahedral molecule made of four spin-½, interconnected by exchange. For this purpose, we used the Heisenberg model and performed an exact resolution. In the case of a ferromagnetic coupling among the spins, the system orders itself under a magnetic field without displaying any net spontaneous magnetization. It behaves as a high spin-2 unique magnet.Under antiferromagnetic exchange, some exotic behaviour has been revealed due to the frustration governing the spin edifice. Thus, the magnetization is quantized into plateaus, which are separated by quantum phase transitions. In particular, we have argued the possibility of a quantum spin liquid (QSL) state that can occur at low temperature.This contribution intends mainly to bring single-molecular magnets to the front line of innovative nanoscale applications. |
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