Search arXiv⌕ Search

arXiv · cond-mat/0009386

Multi-terminal Molecular Wire Systems: A Self-consistent Theory and Computer Simulations of Charging and Transport

Abstract

We present a self-consistent method for the evaluation of the electronic current flowing through a multi-terminal molecular wire. The method is based on Buttiker- Landauer theory which relates the current to one-electron scattering probabilities. The scattering problem is solved using a tight-binding form for Schroedinger's equation that incorporates a self-consistent evaluation of the electro-static potential in the region of the molecular wire. We apply the method to a three-terminal molecular wire connected to metallic leads. The molecular wire is a pi-conjugated carbon chain with thiol end groups, self-assembled on the cleaved edge of a multilayer of alternating thin metal and insulating films. The ends of the chain bond to two outer metal layers that act as source and drain, and the chain bridges a third (inner) metal layer that acts as a gate. We show that transistor action should occur in this device if on the surface of the metal gate there are absorbed atoms that acquire charge as the gate voltage is increased, thereby enhancing the interaction between the gate and molecule and creating a strong potential barrier that hinders electron flow along the molecular wire. We find that electronic solitons play an important role in the response of this system to applied voltages.

Explore related subjects

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Eldon G. Emberly, George Kirczenow. 2000-09-25. Multi-terminal Molecular Wire Systems: A Self-consistent Theory and Computer Simulations of Charging and Transport. https://doi.org/10.1103/physrevb.62.10451

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

Conductivity of charge-neutral multicomponent 2D electron-hole system

The interplay between distinct carrier species in systems with broken Galilean invariance can give rise to a rich landscape of interaction-driven transport phenomena. Here, we develop a comprehensive theory of the electrical conductivity of a two-dimensional mixture of massless Dirac and massive fermions, a system realized in HgTe quantum wells tuned to the charge-neutrality point. In this regime, all carriers are thermally activated, enabling a self-consistent, temperature-dependent interplay between the two species. Crucially, the charge-neutrality condition ensures that the chemical potential is not externally pinned but is determined self-consistently, thereby making the system's transport response an intrinsic probe of inter-species quantum friction. We demonstrate that the conductivity changes with temperature : at low temperatures, transport is dominated by massless Dirac carriers, yielding a nearly temperature-independent conductivity reminiscent of the charge-neutrality point in pristine graphene. As the temperature rises, massive holes become thermally excited, and their mutual scattering with Dirac carriers induces a specific nonmonotonic temperature dependence of the conductivity in both clean and disordered structures. In particular, in nearly clean structures with strong screening modeled by a short-range interparticle interaction potential, the system's conductivity can exhibit an inverse-quadratic temperature dependence. Conversely, in disordered structures with a long-range interparticle interaction, it varies quadratically with temperature. Our findings establish HgTe quantum wells at charge neutrality as a clean, highly tunable platform for isolating and quantitatively studying interaction-driven transport in the absence of Galilean invariance, offering a direct pathway to explore regimes where interparticle collisions dominate over disorder.

cond-mat.mes-hall↗

Spin-conserving and spin-flip magnetic scattering in the altermagnetic spin-splitter effect

Critical magnetic fluctuations scatter electrons strongly near an ordering transition, but they barely degrade the charge current, because they scatter mostly through small angles. In an altermagnet the electric field also drives a spin current, and a nearly forward spin flip moves an electron to the other spin band at almost unchanged velocity. We develop a Boltzmann theory of the spin splitter ratio that keeps the full collision operator of quasistatic magnetic fluctuations and its change with the magnetic order. Fluctuations of equal total strength give the same resistivity for every fraction of spin flips, yet they can move the spin splitter ratio in opposite directions. Spin conserving fluctuations relax the spin current at about the charge relaxation rate, whereas forward flips equalize the two spin populations at equal energy at the quasiparticle rate, which in two dimensions grows linearly with the correlation length. Energy conservation on the split bands protects the part of the spin current carried by the band shift of the occupied states at every scattering strength, and the splitting blocks forward flips once the spin Fermi lines lie farther apart than the inverse correlation length. When flips dominate, a quarter to a half of the lattice band ratio survives. The transport time approximation reproduces the initial growth of the resistivity but recovers only a quarter to a half of the initial fall of the ratio, and a disorder series at fixed reduced temperature measures this fall independent of the order amplitude.

cond-mat.mes-hall↗

Spin conservation protects the altermagnetic spin-splitter current from critical scattering

Near a magnetic transition, critical fluctuations scatter electrons strongly, but the charge current survives, because long wavelength fluctuations barely turn the electron velocity. In an altermagnet the electric field also drives a spin current, the spin splitter effect, and a nearly forward scattering event that flips spin moves an electron to the other spin band at almost unchanged velocity. We show that the spin current shares the protection of the charge current only when the fluctuations conserve spin. Solving the Boltzmann equation with the full collision operator, including its change with the magnetic order, we find that forward flips equalize the two spin populations at equal energy at the quasiparticle rate, which in two dimensions grows linearly with the correlation length, whereas spin conserving fluctuations relax the spin current at a rate comparable to the charge relaxation rate. Fluctuations with the same resistivity can thus move the spin splitter ratio in opposite directions. Energy conservation protects the part of the spin current that follows the band shift of the occupied states, and the splitting blocks forward flips once the spin Fermi lines lie farther apart than the inverse correlation length. A disorder series at fixed reduced temperature measures the initial fall of the ratio with the magnetic resistivity independent of the order amplitude, and the growth of this slope toward the transition identifies spin flip critical fluctuations.

cond-mat.mes-hall↗