Fokker-Planck approach to the theory of the magnon-driven spin Seebeck effect

Chotorlishvili, L.; Toklikishvili, Z.; Dugaev, V. K.; Barnaś, J.; Trimper, Steffen; Berakdar, J.

doi:10.1103/physrevb.88.144429

Cited by 37 publications

(47 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The injection of the magnetization current source into the metallic layer is due to the conversion of the magnetic moment of the magnons at the interface into a spin accumulation in Pt. The microscopic mechanisms involved [12][13][14][15][16][17][18] as well as the role played by imperfect interfaces 46 have been already analyzed in detail. From the point of view of the thermodynamic theory of Johnson and Silsbee 35 the passage of the magnetization current between two layers is described by solving the diffusion problem for the two materials and by imposing the appropriate boundary conditions 29 .…”

Section: Application To the Spin Seebeck Effectmentioning

confidence: 99%

“…This effect has been interpreted as the consequence of the presence of a spin current carried by non equilibrium spin waves (or magnons) in the ferrimagnetic insulator which is converted into a spin current carried by electrons in the metal 3,10,11 . The source of this conversion is the interaction between the d electrons in the ferromagnet and the s electrons in the metal which gives rise to an absorption of a magnon in the insulator and the corresponding generation of an electron spin flip in the metal [12][13][14][15][16][17][18] . While the assessment of the interface is well documented in the literature 10,[19][20][21] , the description of the transport of non equilibrium spin waves inside the bulk ferromagnet is still a debated issue [22][23][24][25][26][27][28][29] .…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Thermodynamic transport theory of spin waves in ferromagnetic insulators

2016

View full text Add to dashboard Cite

We use the Boltzmann transport theory in the relaxation time approximation to describe the thermal transport of spin waves in a ferromagnet. By treating spin waves as magnon excitations we are able to compute analytically and numerically the coefficients of the constitutive thermomagnetic transport equations. As a main result, we find that the absolute thermo-magnetic power coefficient M , relating the gradient of the potential of the magnetization current and the gradient of the temperature, in the limit of low temperature and low field, is a constant M = −0.6419 kB/µB. The theory correctly describes the low-temperature and magnetic-field dependencies of spin Seebeck experiments. Furthermore, the theory predicts that in the limit of very low temperatures the spin Peltier coefficient ΠM , relating the heat and the magnetization currents, tends to a finite value which depends on the amplitude of the magnetic field. This indicates the possibility to exploit the spin Peltier effect as an efficient cooling mechanism in cryogenics.

show abstract

Section: Application To the Spin Seebeck Effectmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Thermodynamic transport theory of spin waves in ferromagnetic insulators

2016

View full text Add to dashboard Cite

show abstract

“…m , the form and the origin of which we discussed at length recently and contrasted with experimental findings [27][28][29][30][31][32][33][34]. Here we account for the linear (V ME,1 ) and quadratic (V ME,2 ) terms (for low-energy excitations, higher-order terms are less relevant to the effects studied here).…”

Section: Multiferroic Thermal Diodementioning

confidence: 95%

Electromagnetically controlled multiferroic thermal diode

et al. 2015

Self Cite

View full text Add to dashboard Cite

We propose an electromagnetically tunable thermal diode based on a two-phase multiferroic composite. Analytical and full numerical calculations for a prototypical heterojunction composed of iron on barium titanate in the tetragonal phase demonstrate a strong heat rectification effect that can be controlled externally by a moderate electric field. This finding is important for thermally based information processing and sensing and can also be integrated in (spin) electronic circuits for heat management and recycling.

show abstract

“…One of the key observations that gave impetus to the field of spin caloritronics was the discovery of the spin Seebeck effect (SSE) 1 which amounts to the emergence of a spin current upon an externally applied thermal gradient [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] . Technologically, various SSE-based nanoelectronics devices are envisaged.…”

Section: Introductionmentioning

confidence: 99%

Magnon-driven longitudinal spin Seebeck effect in F|N and N|F|N structures: Role of asymmetric in-plane magnetic anisotropy

Chotorlishvili

Toklikishvili

Etesami

et al. 2015

Journal of Magnetism and Magnetic Materials

Self Cite

View full text Add to dashboard Cite

The influence of an asymmetric in-plane magnetic anisotropy Kx = Ky on the thermally activated spin current is studied theoretically for two different systems; (i) the F |N system consisting of a ferromagnetic insulator (F ) in a direct contact with a nonmagnetic metal (N ), and (ii) the sandwich structure N |F |N consisting of a ferromagnetic insulating part sandwiched between two nonmagnetic metals. It is shown that when the difference between the temperatures of the two nonmagnetic metals in a N |F |N structure is not large, the spin pumping currents from the magnetic part to the nonmagnetic ones are equal in amplitude and have opposite directions, so only the spin torque current contributes to the total spin current. The spin current flows then from the nonmagnetic metal with the higher temperature to the nonmagnetic metal having a lower temperature. Its amplitude varies linearly with the difference in temperatures. In addition, we have found that if the magnetic anisotropy is in the layer plane, then the spin current increases with the magnon temperature, while in the case of an out-of-plane magnetic anisotropy the spin current decreases when the magnon temperature enhances. Enlarging the difference between the temperatures of the nonmagnetic metals, the linear response becomes important, as confirmed by analytical expressions inferred from the Fokker-Planck approach and by the results obtained upon a full numerical integration of the stochastic Landau-Lifshitz-Gilbert equation.

show abstract

Fokker-Planck approach to the theory of the magnon-driven spin Seebeck effect

Cited by 37 publications

References 22 publications

Thermodynamic transport theory of spin waves in ferromagnetic insulators

Thermodynamic transport theory of spin waves in ferromagnetic insulators

Electromagnetically controlled multiferroic thermal diode

Magnon-driven longitudinal spin Seebeck effect in F|N and N|F|N structures: Role of asymmetric in-plane magnetic anisotropy

Contact Info

Product

Resources

About