Fluctuation Relations for Spintronics

Abstract

Fluctuation relations are derived in systems where the spin degree of freedom and magnetic interactions play a crucial role. The form of the non-equilibrium fluctuation theorems relies in the assumption of a local balance condition. We demonstrate that in some cases the presence of magnetic interactions violates this condition. Nevertheless, fluctuation relations can be obtained from the micro-reversibility principle sustained only at equilibrium as a symmetry of the cumulant generating function for spin currents. We illustrate the spintronic fluctuation relations for a quantum dot coupled to partially polarized helical edges states.

5 pages, 3 figures; minor changes; published version

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• Nonlinear phenomena in quantum thermoelectrics and heat
• Full-counting statistics for molecular junctions: Fluctuation theorem and singularities
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• A hybrid superconducting quantum dot acting as an efficient charge and spin Seebeck diode
• Chirality, causality, and fluctuation-dissipation theorems in non-equilibrium steady states
• Destruction of Anderson localization by nonlinearity in kicked rotator at different effective dimensions
• Fluctuation theorem for heat transport probed by a thermal electrode
• Quantum transport, master equations, and exchange fluctuations
• Thermoelectrics of Interacting Nanosystems -- Exploiting Superselection instead of Time-Reversal Symmetry
• Nonlinear chiral refrigerators
• Kramers' degeneracy for open systems in thermal equilibrium
• Fluctuation Theorem for a Small Engine and Magnetization Switching by Spin Torque
• AC transport and full-counting statistics of molecular junctions in the weak electron-vibration coupling regime
• Fluctuation theorems without time-reversal symmetry
• A chiral Maxwell Demon
• Thermoelectric effects in quantum Hall systems beyond linear response
• Capacitively coupled nano conductors: Ratchet currents and exchange fluctuation relations
• Microreversibility and nonequilibrium response theory in magnetic fields
• Spin pumping and torque statistics in the quantum noise limit
• Fluctuation relations for spin currents
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• Thermodynamic uncertainty relations in superconducting junctions
• Nonlinear electric and thermoelectric Andreev transport through a hybrid quantum dot coupled to ferromagnetic and superconducting leads
• Transport out of locally broken detailed balance
• Noise and fluctuation relations of a spin diode