Erratum: Quenching of the Hall resistance in a novel geometry [Phys. Rev. Lett. 63, 996 (1989)]

Chang, A. M.; Chang, T. Y.; Baranger, Harold U.

doi:10.1103/physrevlett.63.2695.4

Cited by 15 publications

(25 citation statements)

References 1 publication

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“…Different geometries were investigated, leading to an enhanced or suppressed Hall effect depending only on the geometry of the Hall cross. 26,27 Already at He temperatures, these effects can be well described by classical trajectories. 28 Interference effects play a role at much lower temperatures.…”

Section: Introductionmentioning

confidence: 99%

Gap theory of rectification in ballistic three-terminal conductors

Jordan

Büttiker

2008

Phys. Rev. B

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We introduce a model for rectification in three-terminal ballistic conductors, where the central connecting node is modeled as a chaotic cavity. For bias voltages comparable to the Fermi energy, a strong nonlinearity is created by the opening of a gap in the transport window. Both noninteracting cavity electrons at arbitrary temperature as well as the hot-electron regime are considered. Charging effects are treated within the transmission formalism using a self-consistent analysis. The conductance of the third lead in a voltage probe configuration is varied to also model inelastic effects. We find that the basic transport features are insensitive to all of these changes, indicating that the nonlinearity is robust and well suited to applications such as current rectification in ballistic systems. Our findings are in broad agreement with several recent experiments.

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Section: Introductionmentioning

confidence: 99%

Gap theory of rectification in ballistic three-terminal conductors

Jordan

Büttiker

2008

Phys. Rev. B

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“…4 Experimental support for this explanation was given by Chang, Chang, and Baranger. 5 Neither a series resistance nor a Hall resistance measurement gives direct Information on the degree of collimation. In view of the importance of collimation for transport in small structures, we have decided to study this effect directly, using two opposite point contacts äs injector and collector of an electron beam with an adjustable degree of collimation.…”

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confidence: 99%

Electron-beam collimation with a quantum point contact

et al. 1990

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Collimation of the electron beam injected by a point contact in a two-dimensional electron gas is demonstrated using a geometry with two opposite point contacts äs injector and collector. The collimation is maintained over a distance of at least 4 //m, and is destroyed by a small magnetic field. The inferred collimation factor scales linearly with the point-contact resistance, äs predicted by the semiclassical theory.Recently, Wharam et al.' reported on the nonadditivity of the series resistance of two opposite quantum point contacts in a two-dimensional electron gas (2D EG). This phenomenon was later discussed by Beenakker and van Houten 2 in terms of collimation of the electron beam injected by a point contact. In addition, Baranger and Stone 3 argued that such collimation effects are responsible for the quenching of the Hall resistance in very narrow channels. 4 Experimental support for this explanation was given by Chang, Chang, and Baranger. 5Neither a series resistance nor a Hall resistance measurement gives direct Information on the degree of collimation. In view of the importance of collimation for transport in small structures, we have decided to study this effect directly, using two opposite point contacts äs injector and collector of an electron beam with an adjustable degree of collimation. We will show that these collimation effects can be well understood using a semiclassical Simulation of the transport through the device.For sample fabrication, we employ electron-beam lithography in a polymethylmethacrylate double-layer resist (using a Philips EBPG-4 Beamwriter) and lift-off techniques to deposit gold gates on top of a previously fabricated Hall-bar structure. We have fabricated two different types of microdevices on a GaAs/(Al,Ga)As heterojunction wafer with a 2D EG mobility of about 100 m 2 V ~~' s ~'. Both devices consist of a narrow channel of 18 /im length and a width of l /im in one case and 4 /im in the other. On both sides of the channel two point contacts are defined, with 3-μπι Separation. A schematic layout of the gates and contacts is given in Fig. l (a). Resistance measurements on these samples are made using phasesensitive techniques. The samples are kept at 1.8 K in a cryostat equipped with a superconducting magnet.The relevant quantity regarding the degree of collimation in our devices is the increase in Γ,-. 0 the transmission probability for electrons to travel directly from one point contact, the injector /, to the opposite point contact, the collector c. From the semiclassical analysis given in 4J.1274

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“…ECoul + Edef is the sum of the Coulomb and deformation energies stored in potential energy at the instant of scission and E rot is the rotational energy of the scission configuration. The Coulomb energy is estimated by use of the relation Z2 ECoulb (MeV) = 1.44-2c (9) Here Z is one-half the charge of the composite system. The primary fission fragments are assumed to have spheroidal shapes with the principal one-half axis of magnitude in terms oftheir ratio c/ a, namely (10) where A is the mass number of each of fission fragment.…”

Section: Formalism Of the Statistical Scission Modelmentioning

confidence: 99%

“…+98-711-2280926, E-mail: Behkami@physics.susc.ac.ir spin I and projection M on the beam axis and projection m on the fission axis and (iii) the normalized symmetric top wave functions DiI m (e). The relation between I, e, Schematic illustration of the relation between I, .e, Sand m for statistical scission model.When the target and projectile spins are zero and the projection of spin I on the beam axis is zero throughout the fission process (M = 0), then9 ) …”

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confidence: 99%

Analysis of Fragment Angular Distributions from Heavy - Ion Reaction

Behkami

Kargar

Nasrabadi

2002

Journal of Nuclear Science and Technology

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Statistical scission model is applied to fission fragment angular distributions from heavy-ion induced Fission. Comparison of model calculations to experimental data on angular distributions for 11 E, 12C and 14 N on 209 Ei system shows excellent agreement. It is shown that statistical scission model (SSM) predicts angular distributions in reasonable agreement with those measured for heavy-ion induced fission of some reaction systems where the fission barrier has vanished or is very small relative to the nuclear temperature.

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Erratum: Quenching of the Hall resistance in a novel geometry [Phys. Rev. Lett. 63, 996 (1989)]

Cited by 15 publications

References 1 publication

Gap theory of rectification in ballistic three-terminal conductors

Gap theory of rectification in ballistic three-terminal conductors

Electron-beam collimation with a quantum point contact

Analysis of Fragment Angular Distributions from Heavy - Ion Reaction

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