Electrical resistance of disordered one-dimensional lattices

Landauer, Rolf

doi:10.1080/14786437008238472

Cited by 2,940 publications

(1,407 citation statements)

References 7 publications

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“…Landauer proposed the famous setup to study quantum transport where a mesoscopic sample is placed between two reservoirs at different chemical potentials. 5 Then, Büttiker 6 , in agreement with experiments 7 , showed the fundamental relation G = nG 0 for the two-terminal conductance of a non-interacting quantum wire, being n the number of transverse channels and G 0 = e 2 /h the universal conductance quantum. The remarkable consequence of this simple law is the fact that a purely non-interacting electronic system without any kind of inelastic scattering mechanism has a sizable resistance, which for a single channel device is as large as G −1 0 ≃ 13kΩ.…”

Section: Introductionmentioning

confidence: 58%

Electron-spin motion: a new tool to study ferromagnetic films and surfaces

Dey

Weber²

2011

J. Phys.: Condens. Matter

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We analyze the behavior of the four-terminal resistance, relative to the two-terminal resistance of an interacting quantum wire with an impurity, taking into account the invasiveness of the voltage probes. We consider a one-dimensional Luttinger model of spinless fermions for the wire. We treat the coupling to the voltage probes perturbatively, within the framework of non-equilibrium Green function techniques. Our investigation unveils the combined effect of impurities, electron-electron interactions and invasiveness of the probes on the possible occurrence of negative resistance.

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Section: Introductionmentioning

confidence: 58%

Electron-spin motion: a new tool to study ferromagnetic films and surfaces

Dey

Weber²

2011

J. Phys.: Condens. Matter

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“…31, 32 The method combines an accurate description of the electronic ground state, provided by ab initio DFT calculations, with the Landauer approach to describe transport properties of extended systems. 33,34 The connection is realized by transforming the Bloch orbitals into maximally localized Wannier functions. 35,36 This representation naturally introduces the ground-state electronic structure into the real-space Green function scheme, which is our tool for the evaluation of the Landauer quantum conductance.…”

Section: ■ Methodology and Computational Detailsmentioning

confidence: 99%

Complex Materials for Molecular Spintronics Applications: Cobalt Bis(dioxolene) Valence Tautomers, from Molecules to Polymers

et al. 2012

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Using first principles calculations, we predict a complex multifunctional behavior in cobalt bis(dioxolene) valence tautomeric compounds. Molecular spin-state switching is shown to dramatically alter electronic properties and corresponding transport properties. This spin state dependence has been demonstrated for technologically relevant coordination polymers of valence tautomers as well as for novel conjugated polymers with valence tautomeric functionalization. As a result, these materials are proposed as promising candidates for spintronic devices that can couple magnetic bistability with novel electrical and spin conduction properties. Our findings pave the way to the fundamental understanding and future design of active multifunctional organic materials for spintronics applications. ■ INTRODUCTIONMolecular spintronics seeks to exploit the electronic structural diversity of molecules to harness the spin of the electron in novel and improved computing and information storage applications. 1−4 Significant material focus in this area has been placed on the class of conjugated organic semiconductors (e.g., rubrene and tris(hydroxyquinolato)-aluminum) that have found applications in organic optoelectronics devices. 5 These materials, while often diamagnetic, have been reported to show dramatic spin-dependent charge transport effects including giant magnetoresistance (GMR) 6,7 and tunneling magnetoresistance (TMR). 8−10 However, recent years have seen net advances in the use of novel molecular materials synthesized for specific spin properties. This includes design and applications of single molecular magnets, which can have large spin quantum numbers and can be integrated into thin films 11−13 suitable for device applications. 14,15 In addition, the conjugated ferrimagnetic coordination polymer V(TCNE)x 16 has very recently been employed as a thin film electrode in an all-organic TMR-based spin valve device. 17 A molecular design motif with significant promise for spintronics is the spin crossover phenomenon 18 in which a transition between high-spin and low-spin states of a coordination compound can be externally tuned by temperature, light, or applied pressure. This is very common in a number of Fe(II) compounds with nitrogen-containing ligands and has been suggested for many years as a route to molecular memory devices due to the prevalence of hysteretic effects in the spin transition. 19 Recently, both experiment 20 and theory 21,22 have suggested spin state dependence of electrical transport in Fe(II) spin crossover compounds making them prime candidates for molecular spintronics.A chemical elaboration of the spin crossover phenomenon can be established through the use of radical dioxolene ligands complexed to a cobalt coordination center in a class of compounds called valence tautomers (VTs). 23,24 In valence tautomers, a high-spin to low-spin transition on the Co is accompanied by an intramolecular electron transfer from the Co to a redox active ligand.This suggests a very dramatic coupling betwee...

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“…It is then possible to apply the Landauer linear response theory. 68,69 The transmission function Z(E), which characterizes charge scattering within the molecule and, consequently, the molecular conductance, is then calculated using either the electron scattering quantum chemistry technique 66,70 or the Green's function approach. 52,71 3.…”

Section: Interference Effects On Charge Transport: a Fully Quantum Mementioning

confidence: 99%

Single molecule charge transport: from a quantum mechanical to a classical description

Kocherzhenko

Grozema

Siebbeles

2011

Phys. Chem. Chem. Phys.

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This paper explores charge transport at the single molecule level. The conductive properties of both small organic molecules and conjugated polymers (molecular wires) are considered. In particular, the reasons for the transition from fully coherent to incoherent charge transport and the approaches that can be taken to describe this transition are addressed in some detail. The effects of molecular orbital symmetry, quantum interference, static disorder and molecular vibrations on charge transport are discussed. All of these effects must be taken into account (and may be used in a functional way) in the design of molecular electronic devices. An overview of the theoretical models employed when studying charge transport in small organic molecules and molecular wires is presented.

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Electrical resistance of disordered one-dimensional lattices

Cited by 2,940 publications

References 7 publications

Electron-spin motion: a new tool to study ferromagnetic films and surfaces

Electron-spin motion: a new tool to study ferromagnetic films and surfaces

Complex Materials for Molecular Spintronics Applications: Cobalt Bis(dioxolene) Valence Tautomers, from Molecules to Polymers

Single molecule charge transport: from a quantum mechanical to a classical description

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