In a large number of rare-earth and actinide systems,Kondo effect tends to suppress magnetic orders by making the spin singlet between localized and conduction electron spins.In the presence of orbital degrees of free...In a large number of rare-earth and actinide systems,Kondo effect tends to suppress magnetic orders by making the spin singlet between localized and conduction electron spins.In the presence of orbital degrees of freedom,however,there emerge exotic electronic orders induced by Kondo effect.The orbital Kondo effect can collectively make diagonal and off-diagonal(superconducting) orders.With the particle-hole symmetry in conduction bands,these orders are all degenerate,forming a macroscopic SO(5) multiplet.This paper discusses recent theoretical development on these electronic orders which are relevant to Pr^(3+) and U^(4+) systems with even number of f electrons per site.In the superconducting order,each conduction–electron pair is coupled with local degrees of freedom,forming a composite entity with a staggered spatial pattern.The quasi-particle spectrum is best interpreted as virtual hybridization with resonant states at the Fermi level.Possible order parameter for URu_2Si_2 in the hidden order state is discussed in the context of composite orders.Briefly discussed are related issues such as homogeneous odd-frequency pairing and SO(5) theory for hightemperature superconductors.展开更多
The nonlinear transverse vibrations of ordered and disordered twodimensional(2D)two-span composite laminated plates are studied.Based on the von Karman’s large deformation theory,the equations of motion of each-span ...The nonlinear transverse vibrations of ordered and disordered twodimensional(2D)two-span composite laminated plates are studied.Based on the von Karman’s large deformation theory,the equations of motion of each-span composite laminated plate are formulated using Hamilton’s principle,and the partial differential equations are discretized into nonlinear ordinary ones through the Galerkin’s method.The primary resonance and 1/3 sub-harmonic resonance are investigated by using the method of multiple scales.The amplitude-frequency relations of the steady-state responses and their stability analyses in each kind of resonance are carried out.The effects of the disorder ratio and ply angle on the two different resonances are analyzed.From the numerical results,it can be concluded that disorder in the length of the two-span 2D composite laminated plate will cause the nonlinear vibration localization phenomenon,and with the increase of the disorder ratio,the vibration localization phenomenon will become more obvious.Moreover,the amplitude-frequency curves for both primary resonance and 1/3 sub-harmonic resonance obtained by the present analytical method are compared with those by the numerical integration,and satisfactory precision can be obtained for engineering applications and the results certify the correctness of the present approximately analytical solutions.展开更多
基金supported by KAKENHI of Japan Society for the Promotion of Science (JP24340072 and JP16K05464)
文摘In a large number of rare-earth and actinide systems,Kondo effect tends to suppress magnetic orders by making the spin singlet between localized and conduction electron spins.In the presence of orbital degrees of freedom,however,there emerge exotic electronic orders induced by Kondo effect.The orbital Kondo effect can collectively make diagonal and off-diagonal(superconducting) orders.With the particle-hole symmetry in conduction bands,these orders are all degenerate,forming a macroscopic SO(5) multiplet.This paper discusses recent theoretical development on these electronic orders which are relevant to Pr^(3+) and U^(4+) systems with even number of f electrons per site.In the superconducting order,each conduction–electron pair is coupled with local degrees of freedom,forming a composite entity with a staggered spatial pattern.The quasi-particle spectrum is best interpreted as virtual hybridization with resonant states at the Fermi level.Possible order parameter for URu_2Si_2 in the hidden order state is discussed in the context of composite orders.Briefly discussed are related issues such as homogeneous odd-frequency pairing and SO(5) theory for hightemperature superconductors.
基金This research is supported by the National Natural Science Foundation of China(Nos.11572007 and 11172084).
文摘The nonlinear transverse vibrations of ordered and disordered twodimensional(2D)two-span composite laminated plates are studied.Based on the von Karman’s large deformation theory,the equations of motion of each-span composite laminated plate are formulated using Hamilton’s principle,and the partial differential equations are discretized into nonlinear ordinary ones through the Galerkin’s method.The primary resonance and 1/3 sub-harmonic resonance are investigated by using the method of multiple scales.The amplitude-frequency relations of the steady-state responses and their stability analyses in each kind of resonance are carried out.The effects of the disorder ratio and ply angle on the two different resonances are analyzed.From the numerical results,it can be concluded that disorder in the length of the two-span 2D composite laminated plate will cause the nonlinear vibration localization phenomenon,and with the increase of the disorder ratio,the vibration localization phenomenon will become more obvious.Moreover,the amplitude-frequency curves for both primary resonance and 1/3 sub-harmonic resonance obtained by the present analytical method are compared with those by the numerical integration,and satisfactory precision can be obtained for engineering applications and the results certify the correctness of the present approximately analytical solutions.
