Visualization of the wave function of a quantum particle in the momentum space by the field-emission microscopy technique

Sekatskii, S. K.; Letokhov, V. S.

doi:10.1134/1.1506428

Cited by 2 publications

(1 citation statement)

References 34 publications

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“…This phenomenon has been recently re-interpreted theoretically by Sekatskii and Letokhov. [37] Such patterns have also been regularly observed for FE from uncleaned or lightly heated SWNTs and MWNTs, [19,28,26] and obviously are not specific to the intrinsic properties of CNTs, especially in the light of patterns with a clear correlation with expected MWNT structure. [27] These objects give rise to strong effects in the TEDs exactly as those measured from deposited molecules [38] that are a guide for emission from any such nanostructure.…”

Section: Disordered Nanostructure Cap Regimementioning

confidence: 93%

Evolution of the Field‐Emission Properties of Individual Multiwalled Carbon Nanotubes Submitted to Temperature and Field Treatments

Purcell

Vincent

Rodríguez

et al. 2006

Chemical Vapor Deposition

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Field-emission (FE) electron and ion microscopies (FEM and FIM), I(V) characteristics, and FE energy spectroscopy (FEES) measurements have been made on individual multiwalled carbon nanotubes (MWNTs) at various stages of their evolution under various thermal and field treatments. Before the highest temperature treatments, the FE is produced by nanometerscale structures that have specific and known characteristics such as individual peaks in the total energy distributions (TEDs), highly curved Fowler-Nordheim (FN) plots, and strong local heating due to the Nottingham effect. After cleaning at up to 1600 K, the TEDs approached the well-known form for FN tunneling from a free electron gas. As previously reported, they revealed and quantified strong heating at high FE currents induced by Joule heating along the MWNT. The TEDs gave a quantitative simultaneous measure of the temperature at the end of the MWNT, T A (which reached up to 2000 K), and its electrical resistance R, thus allowing the determination of R(T A ). R(T A ) decreased by ca. 70 % as T A increased from 300 to 2000 K, indicating a nonmetallic behavior of the MWNT. Changes in the MWNT length due to the induced high temperatures above 1600 K could be followed using the I(V) characteristics. The high temperatures were accompanied by light emission due to incandescence for which the optical spectra was found to follow the Planck distribution. With the simultaneous measurements of T A and R, the 1D heating problem could be reliably simulated to estimate the dependence of both electrical and thermal conductivities on temperature. This heating results in an excellent current stability by continuous desorption, and defines the maximum nanotube currents for high-current applications

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Section: Disordered Nanostructure Cap Regimementioning

confidence: 93%

Evolution of the Field‐Emission Properties of Individual Multiwalled Carbon Nanotubes Submitted to Temperature and Field Treatments

Purcell

Vincent

Rodríguez

et al. 2006

Chemical Vapor Deposition

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Role of the mean field in Bloch oscillations of a Bose-Einstein condensate in an optical lattice and harmonic trap

et al. 2008

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Using the Crank-Nicholson method, we study the evolution of a Bose-Einstein condensate in an optical lattice and harmonic trap. The condensate is excited by displacing it from the center of the harmonic trap. The mean field plays an important role in the Bloch-like oscillations that occur after sufficiently large initial displacement. We find that a moderate mean field significantly suppresses the dispersion of the condensate in momentum space. When the mean field becomes large, soliton and vortex structures appear in the condensate wavefunction.

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Visualization of the wave function of a quantum particle in the momentum space by the field-emission microscopy technique

Cited by 2 publications

References 34 publications

Evolution of the Field‐Emission Properties of Individual Multiwalled Carbon Nanotubes Submitted to Temperature and Field Treatments

Evolution of the Field‐Emission Properties of Individual Multiwalled Carbon Nanotubes Submitted to Temperature and Field Treatments

Role of the mean field in Bloch oscillations of a Bose-Einstein condensate in an optical lattice and harmonic trap

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