Spin-dependent Seebeck effect and spin caloritronics in magnetic graphene

Abstract

We investigate the spin-dependent thermoelectric effects in magnetic graphene in both diffusive and ballistic regimes. Employing the Boltzmann and Landauer formalisms we calculate the spin and charge Seebeck coefficients (thermopower) in magnetic graphene varying the spin splitting, temperature, and doping of the junction. It is found that while in normal graphene the temperature gradient drive a charge current, in the case of magnetic graphene a significant spin current is also established. In particular we show that in the undoped magnetic graphene in which different spin carriers belong to conduction and valence bands, a pure spin current is driven by the temperature gradient. In addition it is revealed that profound thermoelectric effects can be achieved at intermediate easily accessible temperatures when the thermal energy is comparable with Fermi energy $k_{B}T\lesssim \mu$. By further investigation of the spin-dependent Seebeck effect and a significantly large figure of merit for spin thermopower ${\mathcal{Z}}_{\mathrm{sp}}T$, we suggest magnetic graphene as a promising material for spin-caloritronics studies and applications.

arXiv comment9 pages, 8 figures

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• Strained graphene based highly efficient quantum heat engine operating at maximum power
• Spin-Seebeck effect and spin polarization in a multiple quantum dot molecule
• Quantum thermoelectrics based on 2-D Semi-Dirac materials
• Helical thermoelectrics and refrigeration
• Valley caloritronics in a photodriven hetero-junction of Dirac materials
• Designing a highly efficient graphene quantum spin heat engine
• Thermoelectric effects in topological crystalline insulators
• Spin and charge caloritronics in bilayer graphene flakes with magnetic contacts
• Spin-dependent thermoelectric effects in graphene based superconductor junctions
• Optimal quantum refrigeration in strained graphene
• Spin and charge thermopower effects in the ferromagnetic graphene junction
• Theory of Spin Injection in Two-dimensional Metals with Proximity-Induced Spin-Orbit Coupling
• Reaching Van den Broeck limit in linear response and Whitney limit in nonlinear response in edge mode quantum thermoelectrics and refrigeration
• Understanding and Designing the Spin-Driven Thermoelectrics