Title of Dataset: analysis of damping vs CoGd spin-sink thickness 
Author(s): Satoru Emori 
Corresponding Author Email Address: semori@vt.edu
Categories: Condensed Matter Physics, Electronic and Magnetic Properties of Condensed Matter; Superconductivity
Group: Physics
Item Type: Dataset
Keywords: spintronics, spin pumping, ferromagnetic resonance
Description: data of Gilbert damping enhancement vs CoGd spin-sink thickness & MATLAB code to fit the data (e.g., Fig. 6 in 10.1103/PhysRevB.103.024443), based on the modified spin-diffusion model in Taniguchi et al. (10.1109/TMAG.2008.2003036) 
Abstract of the associated article (10.1103/PhysRevB.103.024443) - It has been predicted that transverse spin current can propagate coherently (without dephasing) over a long distance in antiferromagnetically ordered metals. Here, we estimate the dephasing length of transverse spin current in ferrimagnetic CoGd alloys by spin pumping measurements across the compensation point. A modified drift-diffusion model, which accounts for spin-current transmission through the ferrimagnet, reveals that the dephasing length is about 4–5 times longer in nearly compensated CoGd than in ferromagnetic metals. This finding suggests that antiferromagnetic order can mitigate spin dephasing—in a manner analogous to spin echo rephasing for nuclear and qubit spin systems—even in structurally disordered alloys at room temperature. We also find evidence that transverse spin current interacts more strongly with the Co sublattice than the Gd sublattice. Our results provide fundamental insights into the interplay between spin current and antiferromagnetic order, which are crucial for engineering spin torque effects in ferrimagnetic and antiferromagnetic metals.
Funding: Interaction of Coherent Electronic Spin Current with Antiferromagnetic Order
Resource Title: Dephasing of transverse spin current in ferrimagnetic alloys
Resource DOI: https://doi.org/10.1103/PhysRevB.103.024443
Other References: 10.1021/acs.nanolett.0c01868 
License: CC-0
Publisher: University Libraries, Virginia Tech
Language:
Location: 

Files/Folders in Dataset and Description of Files
[Co80Gd20.dat] – Experimentally measured Gilbert damping enhancement (\Delta \alpha) vs Co80Gd20 spin sink thickness. 1st column: Co80Gd20 thickness in nm; 2nd column: Gilbert damping enhancement (\Delta \alpha); 3rd column: error in Gilbert damping enhancement, from linear fit of FMR linewidth vs frequency
[Co80Gd20_fit_command.txt] – Matlab command input used to analyze the data for Co80Gd20 spin sink series (Co80Gd20.dat). 
[Co80Gd20_matlab_code.zip] – Zip file containing the Matlab code used to analyze the data for Co80Gd20 spin sink series (Co80Gd20.dat). 
[Loop_Fit_complext0_expdec_v1_fixTGratio.m] – Parent Matlab program that fits damping enhancement vs spin sink thickness, with a series of fixed spin-flip lengths (Lsf) 
[Fit_DelAlpha_vs_CoGdThick_complext0_expdec_v1loop_fixTGratio.m] – Matlab sub program (called by Loop_Fit_complext0_expdec_v1_fixTGratio.m) that fits damping enhancement vs spin sink thickness
[DeltaAlphaPy_CoGdSS.m] – Matlab function (called by Fit_DelAlpha_vs_CoGdThick_complext0_expdec_v1loop_fixTGratio.m) that computes damping enhancement vs spin sink thickness. 
[g2renorm.m] – Matlab function (called by DeltaAlphaPy_CoGdSS.m) that computes the renormalized spin-mixing conductance at the Cu/CoGd interface
[K1.m] – Matlab function (called by g2renorm.m) that computes the first coefficient in g2renorm
[K2.m] – Matlab function (called by g2renorm.m) that computes the second coefficient in g2renorm
[eta.m] – Matlab function (called by K1.m and K2.m) that computes the rescaled complex transverse spin decoherence length scale
[Lplus.m] – Matlab function (called by Fit_DelAlpha_vs_CoGdThick_complext0_expdec_v1loop_fixTGratio.m and eta.m) that computes the complex transverse spin decoherence length scale
[TransMixCond_complex_t0_expdecay.m] – Matlab function (called by Fit_DelAlpha_vs_CoGdThick_complext0_expdec_v1loop_fixTGratio.m) that computes the complex transmitted spin mixing conductance
[OscDecay.m] – Matlab function (called by TransMixCond_complex_t0_expdecay.m) that computes oscillatory decay

[Co78Gd22.dat] – Experimentally measured Gilbert damping enhancement (\Delta \alpha) vs Co78Gd22 spin sink thickness. 1st column: Co78Gd22 thickness in nm; 2nd column: Gilbert damping enhancement (\Delta \alpha); 3rd column: error in Gilbert damping enhancement, from linear fit of FMR linewidth vs frequency
[Co78Gd22_fit_command.txt] – Matlab command input used to analyze the data for Co78Gd22 spin sink series (Co78Gd22.dat). 
[Co78Gd22_matlab_code.zip] – Zip file containing the Matlab code used to analyze the data for Co78Gd22 spin sink series (Co78Gd22.dat). 
[Loop_Fit_complext0_expdec_v1_fixTGratio.m] – Parent Matlab program that fits damping enhancement vs spin sink thickness, with a series of fixed spin-flip lengths (Lsf) 
[Fit_DelAlpha_vs_CoGdThick_complext0_expdec_v1loop_fixTGratio.m] – Matlab sub program (called by Loop_Fit_complext0_expdec_v1_fixTGratio.m) that fits damping enhancement vs spin sink thickness
[DeltaAlphaPy_CoGdSS.m] – Matlab function (called by Fit_DelAlpha_vs_CoGdThick_complext0_expdec_v1loop_fixTGratio.m) that computes damping enhancement vs spin sink thickness. 
[g2renorm.m] – Matlab function (called by DeltaAlphaPy_CoGdSS.m) that computes the renormalized spin-mixing conductance at the Cu/CoGd interface
[K1.m] – Matlab function (called by g2renorm.m) that computes the first coefficient in g2renorm
[K2.m] – Matlab function (called by g2renorm.m) that computes the second coefficient in g2renorm
[eta.m] – Matlab function (called by K1.m and K2.m) that computes the rescaled complex transverse spin decoherence length scale
[Lplus.m] – Matlab function (called by Fit_DelAlpha_vs_CoGdThick_complext0_expdec_v1loop_fixTGratio.m and eta.m) that computes the complex transverse spin decoherence length scale
[TransMixCond_complex_t0_expdecay.m] – Matlab function (called by Fit_DelAlpha_vs_CoGdThick_complext0_expdec_v1loop_fixTGratio.m) that computes the complex transmitted spin mixing conductance
[OscDecay.m] – Matlab function (called by TransMixCond_complex_t0_expdecay.m) that computes oscillatory decay

[Co77Gd23.dat] – Experimentally measured Gilbert damping enhancement (\Delta \alpha) vs Co77Gd23 spin sink thickness. 1st column: Co77Gd23 thickness in nm; 2nd column: Gilbert damping enhancement (\Delta \alpha); 3rd column: error in Gilbert damping enhancement, from linear fit of FMR linewidth vs frequency
[Co77Gd23_fit_command.txt] – Matlab command input used to analyze the data for Co77Gd23 spin sink series (Co77Gd23.dat). 
[Co77Gd23_matlab_code.zip] – Zip file containing the Matlab code used to analyze the data for Co77Gd23 spin sink series (Co77Gd23.dat). 
[Loop_Fit_complext0_expdec_v1_fixTGratio.m] – Parent Matlab program that fits damping enhancement vs spin sink thickness, with a series of fixed spin-flip lengths (Lsf) 
[Fit_DelAlpha_vs_CoGdThick_complext0_expdec_v1loop_fixTGratio.m] – Matlab sub program (called by Loop_Fit_complext0_expdec_v1_fixTGratio.m) that fits damping enhancement vs spin sink thickness
[DeltaAlphaPy_CoGdSS.m] – Matlab function (called by Fit_DelAlpha_vs_CoGdThick_complext0_expdec_v1loop_fixTGratio.m) that computes damping enhancement vs spin sink thickness. 
[g2renorm.m] – Matlab function (called by DeltaAlphaPy_CoGdSS.m) that computes the renormalized spin-mixing conductance at the Cu/CoGd interface
[K1.m] – Matlab function (called by g2renorm.m) that computes the first coefficient in g2renorm
[K2.m] – Matlab function (called by g2renorm.m) that computes the second coefficient in g2renorm
[eta.m] – Matlab function (called by K1.m and K2.m) that computes the rescaled complex transverse spin decoherence length scale
[Lplus.m] – Matlab function (called by Fit_DelAlpha_vs_CoGdThick_complext0_expdec_v1loop_fixTGratio.m and eta.m) that computes the complex transverse spin decoherence length scale
[TransMixCond_complex_t0_expdecay.m] – Matlab function (called by Fit_DelAlpha_vs_CoGdThick_complext0_expdec_v1loop_fixTGratio.m) that computes the complex transmitted spin mixing conductance
[OscDecay.m] – Matlab function (called by TransMixCond_complex_t0_expdecay.m) that computes oscillatory decay

[Co75Gd25.dat] – Experimentally measured Gilbert damping enhancement (\Delta \alpha) vs Co75Gd25 spin sink thickness. 1st column: Co75Gd25 thickness in nm; 2nd column: Gilbert damping enhancement (\Delta \alpha); 3rd column: error in Gilbert damping enhancement, from linear fit of FMR linewidth vs frequency
[Co75Gd25_fit_command.txt] – Matlab command input used to analyze the data for Co75Gd25 spin sink series (Co75Gd25.dat). 
[Co75Gd25_matlab_code.zip] – Zip file containing the Matlab code used to analyze the data for Co75Gd25 spin sink series (Co75Gd25.dat). 
[Loop_Fit_complext0_expdec_v1_fixTGratio.m] – Parent Matlab program that fits damping enhancement vs spin sink thickness, with a series of fixed spin-flip lengths (Lsf) 
[Fit_DelAlpha_vs_CoGdThick_complext0_expdec_v1loop_fixTGratio.m] – Matlab sub program (called by Loop_Fit_complext0_expdec_v1_fixTGratio.m) that fits damping enhancement vs spin sink thickness
[DeltaAlphaPy_CoGdSS.m] – Matlab function (called by Fit_DelAlpha_vs_CoGdThick_complext0_expdec_v1loop_fixTGratio.m) that computes damping enhancement vs spin sink thickness. 
[g2renorm.m] – Matlab function (called by DeltaAlphaPy_CoGdSS.m) that computes the renormalized spin-mixing conductance at the Cu/CoGd interface
[K1.m] – Matlab function (called by g2renorm.m) that computes the first coefficient in g2renorm
[K2.m] – Matlab function (called by g2renorm.m) that computes the second coefficient in g2renorm
[eta.m] – Matlab function (called by K1.m and K2.m) that computes the rescaled complex transverse spin decoherence length scale
[Lplus.m] – Matlab function (called by Fit_DelAlpha_vs_CoGdThick_complext0_expdec_v1loop_fixTGratio.m and eta.m) that computes the complex transverse spin decoherence length scale
[TransMixCond_complex_t0_expdecay.m] – Matlab function (called by Fit_DelAlpha_vs_CoGdThick_complext0_expdec_v1loop_fixTGratio.m) that computes the complex transmitted spin mixing conductance
[OscDecay.m] – Matlab function (called by TransMixCond_complex_t0_expdecay.m) that computes oscillatory decay

[Co72Gd28.dat] – Experimentally measured Gilbert damping enhancement (\Delta \alpha) vs Co72Gd28 spin sink thickness. 1st column: Co72Gd28 thickness in nm; 2nd column: Gilbert damping enhancement (\Delta \alpha); 3rd column: error in Gilbert damping enhancement, from linear fit of FMR linewidth vs frequency
[Co72Gd28_fit_command.txt] – Matlab command input used to analyze the data for Co72Gd28 spin sink series (Co72Gd28.dat). 
[Co72Gd28_matlab_code.zip] – Zip file containing the Matlab code used to analyze the data for Co72Gd28 spin sink series (Co72Gd28.dat). 
[Loop_Fit_complext0_expdec_v1_fixTGratio.m] – Parent Matlab program that fits damping enhancement vs spin sink thickness, with a series of fixed spin-flip lengths (Lsf) 
[Fit_DelAlpha_vs_CoGdThick_complext0_expdec_v1loop_fixTGratio.m] – Matlab sub program (called by Loop_Fit_complext0_expdec_v1_fixTGratio.m) that fits damping enhancement vs spin sink thickness
[DeltaAlphaPy_CoGdSS.m] – Matlab function (called by Fit_DelAlpha_vs_CoGdThick_complext0_expdec_v1loop_fixTGratio.m) that computes damping enhancement vs spin sink thickness. 
[g2renorm.m] – Matlab function (called by DeltaAlphaPy_CoGdSS.m) that computes the renormalized spin-mixing conductance at the Cu/CoGd interface
[K1.m] – Matlab function (called by g2renorm.m) that computes the first coefficient in g2renorm
[K2.m] – Matlab function (called by g2renorm.m) that computes the second coefficient in g2renorm
[eta.m] – Matlab function (called by K1.m and K2.m) that computes the rescaled complex transverse spin decoherence length scale
[Lplus.m] – Matlab function (called by Fit_DelAlpha_vs_CoGdThick_complext0_expdec_v1loop_fixTGratio.m and eta.m) that computes the complex transverse spin decoherence length scale
[TransMixCond_complex_t0_expdecay.m] – Matlab function (called by Fit_DelAlpha_vs_CoGdThick_complext0_expdec_v1loop_fixTGratio.m) that computes the complex transmitted spin mixing conductance
[OscDecay.m] – Matlab function (called by TransMixCond_complex_t0_expdecay.m) that computes oscillatory decay

[Co70Gd30.dat] – Experimentally measured Gilbert damping enhancement (\Delta \alpha) vs Co70Gd30 spin sink thickness. 1st column: Co70Gd30 thickness in nm; 2nd column: Gilbert damping enhancement (\Delta \alpha); 3rd column: error in Gilbert damping enhancement, from linear fit of FMR linewidth vs frequency
[Co70Gd30_fit_command.txt] – Matlab command input used to analyze the data for Co70Gd30 spin sink series (Co70Gd30.dat). 
[Co70Gd30_matlab_code.zip] – Zip file containing the Matlab code used to analyze the data for Co70Gd30 spin sink series (Co70Gd30.dat). 
[Loop_Fit_complext0_expdec_v1_fixTGratio.m] – Parent Matlab program that fits damping enhancement vs spin sink thickness, with a series of fixed spin-flip lengths (Lsf) 
[Fit_DelAlpha_vs_CoGdThick_complext0_expdec_v1loop_fixTGratio.m] – Matlab sub program (called by Loop_Fit_complext0_expdec_v1_fixTGratio.m) that fits damping enhancement vs spin sink thickness
[DeltaAlphaPy_CoGdSS.m] – Matlab function (called by Fit_DelAlpha_vs_CoGdThick_complext0_expdec_v1loop_fixTGratio.m) that computes damping enhancement vs spin sink thickness. 
[g2renorm.m] – Matlab function (called by DeltaAlphaPy_CoGdSS.m) that computes the renormalized spin-mixing conductance at the Cu/CoGd interface
[K1.m] – Matlab function (called by g2renorm.m) that computes the first coefficient in g2renorm
[K2.m] – Matlab function (called by g2renorm.m) that computes the second coefficient in g2renorm
[eta.m] – Matlab function (called by K1.m and K2.m) that computes the rescaled complex transverse spin decoherence length scale
[Lplus.m] – Matlab function (called by Fit_DelAlpha_vs_CoGdThick_complext0_expdec_v1loop_fixTGratio.m and eta.m) that computes the complex transverse spin decoherence length scale
[TransMixCond_complex_t0_expdecay.m] – Matlab function (called by Fit_DelAlpha_vs_CoGdThick_complext0_expdec_v1loop_fixTGratio.m) that computes the complex transmitted spin mixing conductance
[OscDecay.m] – Matlab function (called by TransMixCond_complex_t0_expdecay.m) that computes oscillatory decay