Field-induced ferromagnetism due to magneto-striction in 1-D helical chains

RSC Advances ◽  
2016 ◽  
Vol 6 (27) ◽  
pp. 22980-22988 ◽  
Author(s):  
Bikash Kumar Shaw ◽  
Mithun Das ◽  
Anik Bhattacharyya ◽  
Biswa Nath Ghosh ◽  
Susmita Roy ◽  
...  

Under high magnetic field and at lower temperature orthogonality of d-orbitals of Cu(ii) centers increases significantly due to contraction of lattice parameters giving rise to long range ferromagnetic ordering in the helical chain.

2007 ◽  
Vol 539-543 ◽  
pp. 4657-4662
Author(s):  
Susil K. Putatunda

A novel concept of two-step austempering in a magnetic field has been conceived by this investigator. This twostep process involves first quenching the alloy to a lower temperature after austenitizing and then immediately rising the temperature of the quenching media to a higher temperature and the whole austempering process is carried out in the presence of a high magnetic field. In this investigation, Austempered Ductile Iron (ADI) was processed by this novel two-step austempering process in a high magnetic field of 20 Tesla. The microstructure and the mechanical properties of the ADI processed in a magnetic field has been characterized and compared with ADI processed by conventional process. The results of this investigation indicate significant improvement in the mechanical properties of ADI when Austempered in a high magnetic field. Both yield and tensile strengths were higher in the samples processed in the presence of a magnetic field. Very fine grain ferrite and austenite was obtained in the microstructure. The ferrite content was also significantly higher.


2019 ◽  
Vol 34 (03) ◽  
pp. 2050043
Author(s):  
Shengman Liu

[Formula: see text] (BFTO) nanoparticles were successfully synthesized by hydrothermal method in high magnetic fields of 0T, 2T, 4T, and 8T. High magnetic field can greatly affect the growth behavior of BFTO particles. The magnetic fields promote the BFTO nanoplates to grow along (001) direction and form a high-index {115} facet. The BFTO samples prepared in different magnetic fields are paramagnetic with the presence of an antiferromagnetic (AFM) and ferromagnetic ordering, and the AFM interaction weakens when the magnetic field is increased. In particular, the magnetization of the as-prepared BFTO particles is slightly enhanced with the increase in magnetic fields arising from the increased amount of bipyramid particles in favor of [Formula: see text]–[Formula: see text] plane alignment parallel to the magnetic field.


2000 ◽  
Vol 10 (PR5) ◽  
pp. Pr5-311-Pr5-314
Author(s):  
M. A. Liberman

Author(s):  
Norman J. Morgenstern Horing

Chapter 13 addresses Bose condensation in superfluids (and superconductors), which involves the field operator ψ‎ having a c-number component (<ψ(x,t)>≠0), challenging number conservation. The nonlinear Gross-Pitaevskii equation is derived for this condensate wave function<ψ>=ψ−ψ˜, facilitating identification of the coherence length and the core region of vortex motion. The noncondensate Green’s function G˜1(1,1′)=−i<(ψ˜(1)ψ˜+(1′))+> and the nonvanishing anomalous correlation function F˜∗(2,1′)=−i<(ψ˜+(2)ψ˜+(1′))+> describe the dynamics and elementary excitations of the non-condensate states and are discussed in conjunction with Landau’s criterion for viscosity. Associated concepts of off-diagonal long-range order and the interpretation of <ψ> as a superfluid order parameter are also introduced. Anderson’s Bose-condensed state, as a phase-coherent wave packet superposition of number states, resolves issues of number conservation. Superconductivity involves bound Cooper pairs of electrons capable of Bose condensation and superfluid behavior. Correspondingly, the two-particle Green’s function has a term involving a product of anomalous bound-Cooper-pair condensate wave functions of the type F(1,2)=−i<(ψ(1)ψ(2))+>≠0, such that G2(1,2;1′,2′)=F(1,2)F+(1′,2′)+G˜2(1,2;1′,2′). Here, G˜2 describes the dynamics/excitations of the non-superfluid-condensate states, while nonvanishing F,F+ represent a phase-coherent wave packet superposition of Cooper-pair number states and off-diagonal long range order. Employing this form of G2 in the G1-equation couples the condensed state with the non-condensate excitations. Taken jointly with the dynamical equation for F(1,2), this leads to the Gorkov equations, encompassing the Bardeen–Cooper–Schrieffer (BCS) energy gap, critical temperature, and Bogoliubov-de Gennes eigenfunction Bogoliubons. Superconductor thermodynamics and critical magnetic field are discussed. For a weak magnetic field, the Gorkov-equations lead to Ginzburg–Landau theory and a nonlinear Schrödinger-like equation for the pair wave function and the associated supercurrent, along with identification of the Cooper pair density. Furthermore, Chapter 13 addresses the apparent lack of gauge invariance of London theory with an elegant variational analysis involving re-gauging the potentials, yielding a manifestly gauge invariant generalization of the London equation. Consistency with the equation of continuity implies the existence of Anderson’s acoustic normal mode, which is supplanted by the plasmon for Coulomb interaction. Type II superconductors and the penetration (and interaction) of quantized magnetic flux lines are also discussed. Finally, Chapter 13 addresses Josephson tunneling between superconductors.


2014 ◽  
Vol 115 (11) ◽  
pp. 114107 ◽  
Author(s):  
Nianming Xia ◽  
Liran Shi ◽  
Zhengcai Xia ◽  
Borong Chen ◽  
Zhao Jin ◽  
...  

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