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Phase diagrams of spin-3/2 Ising model in the presence of random crystal field within the effective field theory based on two approximations

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Chinese Physics B 2013年第10期22卷 186-191页

作者： Ali Yigit Erhan Albayrak Department of Physics anklrl Karatekin University Department of Physics Erciyes University

The bimodal random crystal field （A） effects are investigated on the phase diagrams of spin-3/2 Ising model by using the effective-field theory with correlations based on two approximations： the general van der Waerden identity and the approximated van der Waerden identity. In our approach, the crystal field is either turned on or turned off randomly for a given probability p or q = 1 -p, respectively. Then the phase diagrams are constructed on the （A,kT/J） and （p,kT/J） planes for given p and A, respectively, when the coordination number is z = 3. Furthermore, the effect of randomization of the crystal field is illustrated on the （△,kT/J） plane for p = 0.5 when z - 3,4, and 6. All these are carried out for both approximations and then the results are compared to point out the differences. In addition to the lines of second-order phase transitions, the model also exhibits first-order phase transitions and the lines of which terminate at the isolated critical points for high p values.

关键词： spin-3/2 random crystal field effective-field theory isolated critical point

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spin reorientation in easy-plane kagome ferromagnet Li_9Cr_3(P_2O_7)_3(PO_4)_2

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Chinese Physics B 2023年第5期32卷 153-157页

作者：董元浩付盈刘以轩郝占阳王乐刘才邓可梅佳伟 Shenzhen Institute for Quantum Science and Engineering and Department of PhysicsSouthern University of Science and TechnologyShenzhen 518055China School of Physics Xi’an Jiaotong UniversityXi’an 710049China Department of Physics Southern University of Science and TechnologyShenzhen 518055China Shenzhen Key Laboratory of Advanced Quantum Functional Materials and Devices Southern University of Science and TechnologyShenzhen 518055China

We report the successful growth and characterization of Li_9Cr_3(P_2O_7)_3(PO_4)_2single crystal,and investigate its magnetic properties under external magnetic fields via magnetization and heat capacity *** study reveals that Li_9Cr_3(P_2O_7)_3(PO_4)_2 is an easy-plane kagome ferromagnet with S=3/2,as evidenced by the Curie–Weiss temperature of 6 K which implies a ferromagnetic exchange coupling in the *** zero magnetic field,Li_9Cr_3(P_2O_7)_3(PO_4)_2 undergoes a magnetic transition at TC=2.7 K from a paramagnetic state to a ferromagnetically ordered state with the magnetic moment lying in the kagome *** applying a c-axis directional magnetic field to rotate the spin alignment from the kagome plane to the c-axis,we observe a reduction in the magnetic transition temperature as the field is *** construct a magnetic phase diagram as a function of temperature and magnetic field applied parallel to the c-axis of Li_9Cr_3(P_2O_7)_3(PO_4)_2 and find that the phase boundary is linear over a certain temperature *** that theoretically,the field-induced phase transition of the spin reorientation in the easy-plane ferromagnet can be viewed as the ferromagnetic magnon Bose–Einstein condensation(BEC),the phase boundary scaling of field-induced(B c)magnetic transition in Li_9Cr_3(P_2O_7)_3(PO_4)_2 can be described as the quasi-2D magnon BEC,which has been observed in other ferromagnetic materials such as K_2CuF_4.

关键词： kagome lattice flux method magnetic material spin-3/2

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spin density matrix forΩ−and its polarization alignment in ψ(3686)→Ω−Ω¯^(+)

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Chinese Physics C 2023年第9期47卷 27-42页

作者：张哲宋娇娇 Key Laboratory of Particle Physics and Particle Irradiation(MOE) Institute of Frontier and Interdisciplinary ScienceShandong UniversityQingdao 266237China School of Physics He’nan Normal UniversityXinxiang 453007China

We investigate the spin density matrix of Ω− in the Cartesian coordinate system of baryon-antibaryon pairs produced in e+e−*** the helicity formalism of Jacob and Wick,we derive the expression for the spin-3/2 density *** analysis is based on the angular distribution of the process e+e−→ψ(3686)→Ω−Ω¯^(+ )in the BESIII *** decomposing the polarization state of Ω− particles along different coordinate axes,we examine the polarization dependence of the *** results demonstrate that Ω− particles exhibit varying degrees of tensor polarization along the x-,y-,and z-axes,as well as weak vector polarization and rank-3 tensor polarization along the *** the best of our knowledge,this is the first study to calculate the polarization dependence of the cross-section distributions for the annihilation process e+e−→Ω−Ω¯^(+).Our theoretical predictions are in good agreement with the experimental measurements.

关键词： spin density matrix helicity formalism polarization alignment spin-3/2

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