Fig. 3: Spin Hall and Edelstein effect conductivity tensor element (\({\sigma }_{1/0}=({\sigma }_{xy}^{z}\pm {\sigma }_{xz}^{y})/2\)) versus energy around the Fermi level. | Nature Communications

Fig. 3: Spin Hall and Edelstein effect conductivity tensor element (\({\sigma }_{1/0}=({\sigma }_{xy}^{z}\pm {\sigma }_{xz}^{y})/2\)) versus energy around the Fermi level.

From: Spin Hall and Edelstein effects in chiral non-collinear altermagnets

Fig. 3: Spin Hall and Edelstein effect conductivity tensor element (
                        
                          
                        
                        $${\sigma }_{1/0}=({\sigma }_{xy}^{z}\pm {\sigma }_{xz}^{y})/2$$
                        
                          
                            
                              σ
                            
                            
                              1
                              /
                              0
                            
                          
                          =
                          
                            (
                            
                              
                                
                                  σ
                                
                                
                                  x
                                  y
                                
                                
                                  z
                                
                              
                              ±
                              
                                
                                  σ
                                
                                
                                  x
                                  z
                                
                                
                                  y
                                
                              
                            
                            )
                          
                          /
                          2
                        
                      ) versus energy around the Fermi level.

a, c Spin Hall effect results from the model and projected Wannier functions of Mn3IrSi, respectively. b, d The Edelstein effect results (χs) with the inverse scattering time Γ2 = 10−4 (ta) and (eV), respectively. The light dashed lines in (a, b) are from the toy model without SOC.

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