Chaotic response of Nb<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Se</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>: Evidence for a new charge-density-wave phase

Hall, R.P.; Sherwin, Mark S.; Zettl, A.

doi:10.1103/physrevb.29.7076

Cited by 40 publications

(6 citation statements)

References 17 publications

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“…Our experimental results disprove all models of switching proposed to date, including the CDW domain analogy to the kinetic Ising model by Joos and Murray, 8 underdamped classical rigid-particle motion, 9 or the "self-blocking" model of uniform CDW depinning by Janossy, Mihaly, and Mihaly. 10 These models do not consider phase-slip phenomena, and our experiments clearly demonstrate that switching corresponds to the onset of CDW phase slip at either side of welldefined phase-slip centers in the crystalline bulk.…”

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confidence: 75%

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Switching and Phase-Slip Centers in Charge-Density-Wave Conductors

1986

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We demonstrate that switching in the eharge-density-wave (CDW) conductors Fe x NbSe3 and NbSe3 is associated with a division of the CDW condensate into distinct macroscopic regions with independent CDW depinning fields and independent CDW drift velocities. These well-defined regions are separated by localized phase-slip centers. We explicitly determine the location within the crystalline bulk, and the spatial extent, of the phase-slip interface. Switching results from initial phase breaking at either side of the phase-slip center.

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confidence: 75%

“…Clearly, the precise nature of the CDW dynamics at the phase-slip interface is of critical importance in an understanding of switching-related CDW phenomena such as hysteresis, 2 bistability and \/f noise, 14 and perioddoubling routes to chaos. 9 …”

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confidence: 99%

Switching and Phase-Slip Centers in Charge-Density-Wave Conductors

1986

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“…Delicately, the CDW and the Josephson junction, revealing the chaotic behaviors of conducting [22,23], are both well described by the driven damped pendulum model [24]. By a rigorous mathematical analysis are derived these conclusions of the pendulum equation applied in [15], which provide us a more direct relation between the pendulum model and the behavior of the CDW.…”

Section: Discussion Of Conclusionmentioning

confidence: 99%

The analysis on the single particle model of CDW

Ruan

2008

Physics Letters A

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Abstract. Grüner put forward a single particle model of charge-density wave, which is a typical nonlinear differential equation, and also a mathematical model of pendulum. This Letter analyzes the solution of equation by the rotated vector fields theory, providing the relation between the applied field E and the periodic solution, and the conclusion that the critical value of E for the periodic solution is fixed in the over-damped situation. With these conclusions, it derives the formulae of nonlinear conductivity, narrow-band noise, which are consistent with the empirical ones given by Fleming.

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“…It is not clear at present whether the finite external ac field in equation 5would lead to additional effects in this regime, like e.g. the period doubling route to chaos in the vicinity of interferences, observed recently in NbSe3 [19]. The further investigations in this direction are in progress.…”

Section: Tmentioning

confidence: 90%

Generation of coherent pulses by the CDW motion. Interference effects

Bjeliš

Jelčic

1985

J. Phyique Lett.

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2014 L'influence d'un champ électrique ac sur les phénomènes de transport collectif des ondes de densité de charge est analysée par l'intermédiaire du modèle de Gor'kov sur les oscillations de courant. Dans la limite asymptotique des champs forts (E ~ 1), les résonances sont trouvées aux valeurs E/m, i.e. pour les sous-harmoniques de la fréquence du fondamental. On affirme que dans le domaine expérimental des champs faibles (E ~ 1), le modèle donne les résonances pour toutes les valeurs rationnelles nE/m ainsi qu'elles ont été observées dans NbSe3. Abstract. 2014 The influence of the external ac electric field on the collective charge density wave transport is considered within Gor'kov's model of current oscillations. In the asymptotic limit of large dc fields (E ~ 1) the resonances are found at E/m, i.e. at the subharmonics of the fundamental frequency. It is claimed that in the experimental range of fields (E ~ 1) the model gives resonances at all rational values nE/m, as was observed recently in NbSe3.

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Chaotic response of NbSe3: Evidence for a new charge-density-wave phase

Cited by 40 publications

References 17 publications

Switching and Phase-Slip Centers in Charge-Density-Wave Conductors

Switching and Phase-Slip Centers in Charge-Density-Wave Conductors

The analysis on the single particle model of CDW

Generation of coherent pulses by the CDW motion. Interference effects

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