Rectification in one--dimensional electronic systems

Abstract

Asymmetric current--voltage ($I(V)$) curves, known as the diode or rectification effect, in one--dimensional electronic conductors can have their origin from scattering off a single asymmetric impurity in the system. We investigate this effect in the framework of the Tomonaga--Luttinger model for electrons with spin. We show that electron interactions strongly enhance the diode effect and lead to a pronounced current rectification even if the impurity potential is weak. For strongly interacting electrons and not too small voltages, the rectification current, $I_r=[I(V)+I(-V)]/2$, measuring the asymmetry in the current--voltage curve, has a power--law dependence on the voltage with a negative exponent, $I_r\sim V^{-|z|}$, leading to a bump in the current--voltage curve.

9 pages; 3 figures

References in corpus (13)

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• Transport in an inhomogeneous interacting one--dimensional system
• Dynamics of Inhomogeneous Tomonaga-Luttinger Liquid Wire
• Is there a renormalization of the 1D conductance in Luttinger Liquid model?
• Gauge invariant nonlinear electric transport in mesoscopic conductors
• Molecular Wires Acting as Coherent Quantum Ratchets
• Magnetic-field asymmetry of nonlinear mesoscopic transport
• Signature of the electron-electron interaction in the magnetic field dependence of nonlinear I-V characteristics in mesoscopic systems
• Evidence for non-linear quasiparticle tunneling between fractional quantum Hall edges
• Quantum Brownian motion in ratchet potentials
• Rectification in Luttinger liquids
• Transport, optical properties and quantum ratchet effects for quantum dots and molecules coupled to Luttinger liquids
• Quantum behavior in nanoscale ballistic rectifiers and artificial materials

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• Spin current and rectification in Luttinger liquids
• Spin current and rectification in one-dimensional electronic systems
• Nonreciprocal Quantum Transport at Junctions of Structured Leads
• Tunneling into strongly biased Tomonaga-Luttinger liquid
• Rectification in Y-junctions of Luttinger liquid wires
• Fluctuation theorems without time-reversal symmetry
• Decoupled heat and charge rectification as a many-body effect in quantum wires
• Shape effects of localized losses in quantum wires: dissipative resonances and nonequilibrium universality
• Rectification by Doped Mott-Insulator Junctions
• Rectified voltage induced by a microwave field in a confined two-dimensional electron gas with a mesoscopic static vortex