Signature of the electron-electron interaction in the magnetic field dependence of nonlinear I-V characteristics in mesoscopic conductors

Abstract

The nonlinear I-V characteristics of mesoscopic samples contain parts which are linear in the magnetic field and quadratic in the electric field. These contributions to the current are entirely due to the electron-electron interaction and consequently they are proportional to the electron-electron interaction constant. We present detailed calculations of the magnitude of the effect as a function of the temperature, and the direction of the magnetic field. We show that in the case of a magnetic field oriented parallel to the sample, the effect exists entirely due to spin-orbit scattering. The temperature dependence of the magnitude of the effect has an oscillating character with a characteristic period on the order of the temperature itself. We also clarify in this article the nature of the electron-electron interaction constant which determines the magnitude of the effect

arXiv comment9 pages, 2 figures

References in corpus (12)

• Random-Matrix Theory of Quantum Transport
• Interaction corrections at intermediate temperatures: I. Longitudinal conductivity and kinetic equation
• Magnetic-field asymmetry of nonlinear mesoscopic transport
• Chirality effects in carbon nanotubes
• Interaction corrections at intermediate temperatures: magneto-resistance in parallel field
• Signature of the electron-electron interaction in the magnetic field dependence of nonlinear I-V characteristics in mesoscopic systems
• Magnetic field symmetry and phase rigidity of the nonlinear conductance in a ring
• Magnetic field asymmetry of nonlinear transport in carbon nanotubes
• Asymmetry of Nonlinear Transport and Electron Interactions in Quantum Dots
• Experimental investigation of the breakdown of the Onsager-Casimir relations
• Propagation of nonlinear waves in disordered media
• Mesoscopic oscillations of the conductance of disordered metallic samples as a function of temperature

Cited by in corpus (11)

• Symmetry in Full Counting Statistics, Fluctuation Theorem, and Relations among Nonlinear Transport Coefficients in the Presence of a Magnetic Field
• Magnetic field asymmetry of mesocopic dc rectification in Aharonov Bohm rings
• The probe technique far-from-equilibrium: Magnetic field symmetries of nonlinear transport
• Nonlinear magnetoconductance of a classical ballistic system
• Magnetic-field asymmetry of electron wave packet transmission in bent channels capacitively coupled to a metal gate
• Non-linear conductance in mesoscopic weakly disordered wires -- Interaction and magnetic field asymmetry
• Violation of Onsager symmetry for a ballistic channel Coulomb coupled to a quantum ring
• Carrier-carrier inelastic scattering events for spatially separated electrons: magnetic asymmetry and turnstile electron transfer
• Emergent chirality in multi-lead Luttinger-liquid junctions out of equilibrium
• Nonreciprocity of hydrodynamic electron transport in noncentrosymmetric conductors
• Nonreciprocal Coulomb drag in electron bilayers