scholarly journals Spin-memory loss due to spin-orbit coupling at ferromagnet/heavy-metal interfaces: Ab initio spin-density matrix approach

2017 ◽  
Vol 96 (22) ◽  
Author(s):  
Kapildeb Dolui ◽  
Branislav K. Nikolić
Keyword(s):  
Heavy Metal ◽  
Density Matrix ◽  
Ab Initio ◽  
Spin Density ◽  
Memory Loss ◽  
Spin Density Matrix ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Matrix Approach ◽  
Metal Interfaces

Electrical resistivity with spin–orbit scattering

1978 ◽  
Vol 56 (6) ◽  
pp. 704-707 ◽  
Author(s):  
M. Huberman ◽  
L. E. Ballentine
Keyword(s):  
Electrical Resistivity ◽  
Density Matrix ◽  
Transport Equation ◽  
Spin Density ◽  
Spin Density Matrix ◽  
Spin Orbit ◽  
Electron Momentum ◽  
Quantitative Results

The electrical resistivity is obtained from a transport equation that includes the spin density matrix. The usual description in terms of spin-up and spin-down electrons is valid if the spin density matrix is diagonal; however, this cannot be true simultaneously for all electron momentum states. Quantitative results are given for liquid Pb and Bi.

THEORY OF ORBITAL SPLITTING IN METALS

1993 ◽  
Vol 07 (01n03) ◽  
pp. 255-257 ◽  
Author(s):  
LUKAS SEVERIN ◽  
M. S. S. BROOKS ◽  
BÖRJE JOHANSSON
Keyword(s):  
Density Matrix ◽  
Ab Initio ◽  
Spin Density ◽  
Open Shell ◽  
Spin Density Matrix ◽  
Hartree Fock ◽  
Local Spin ◽  
Scaling Procedure ◽  
Good Agreement

A theory for orbital splitting is derived from a statistical Hartree-Fock (HF) treatment of open shell interactions. In a scaling procedure, where the HF spinpolarization matrix is replaced by the corresponding local spin density matrix, an expression for the orbital splitting is derived which is well suited for implementation in the standard ab initio calculational scheme. Results for Co metal as well as for the itinerant 5f ferromagnet US is presented, which are in good agreement with experiment.

scholarly journals Dzyaloshinskii–Moriya interaction in noncentrosymmetric superlattices

2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Woo Seung Ham ◽  
Abdul-Muizz Pradipto ◽  
Kay Yakushiji ◽  
Kwangsu Kim ◽  
Sonny H. Rhim ◽  
...  
Keyword(s):  
Heavy Metal ◽  
Degrees Of Freedom ◽  
Orbit Coupling ◽  
Inversion Symmetry ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Band Formation ◽  
Research Activities ◽  
Moriya Interaction

AbstractDzyaloshinskii–Moriya interaction (DMI) is considered as one of the most important energies for specific chiral textures such as magnetic skyrmions. The keys of generating DMI are the absence of structural inversion symmetry and exchange energy with spin–orbit coupling. Therefore, a vast majority of research activities about DMI are mainly limited to heavy metal/ferromagnet bilayer systems, only focusing on their interfaces. Here, we report an asymmetric band formation in a superlattices (SL) which arises from inversion symmetry breaking in stacking order of atomic layers, implying the role of bulk-like contribution. Such bulk DMI is more than 300% larger than simple sum of interfacial contribution. Moreover, the asymmetric band is largely affected by strong spin–orbit coupling, showing crucial role of a heavy metal even in the non-interfacial origin of DMI. Our work provides more degrees of freedom to design chiral magnets for spintronics applications.

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