Dynamical transition in sliding charge-density waves with quenched disorder

Chen, Lee Wen; Fisher, Matthew P. A.

doi:10.1103/physrevb.54.12798

Cited by 37 publications

(60 citation statements)

References 14 publications

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“…Although the above jump appears to indicate a firstorder transition, [14] we shall argue in Sec. VIII that the bulk magnetization in fact grows continuously at the transition when interactions are taken into account.…”

Section: A Exact Solution: a Point Impuritymentioning

confidence: 99%

“…Thus we predict that a continuous phase transition is possible, in contrast to arguments based on depinning of a single line, which suggest a first-order transition. [14] A phenomenon like Bose condensation describes the physics of the tilted fraction of the lines, consistent with many lines entering just a few extended states above the mobility edge. However, because phase fluctuations are so strong in 1 + 1 dimensions, correlations of the boson parameter decay algebraically to zero at large distances instead of approaching a nonzero constant.…”

Section: Effect Of Interactions In Thementioning

confidence: 99%

“…For a related problem which arises from the physics of charge density waves, with some results applicable to vortex lines, see Ref. [14]. See Ref.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Vortex pinning and non-Hermitian quantum mechanics

Hatano

Nelson²

1997

Phys. Rev. B

572

512

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A delocalization phenomenon is studied in a class of non-Hermitian random quantum-mechanical problems. Delocalization arises in response to a sufficiently large constant imaginary vector potential. The transition is related to depinning of flux lines from extended defects in type-II superconductors subject to a tilted external magnetic field. The physical meaning of the complex eigenvalues and currents of the non-Hermitian system is elucidated in terms of properties of tilted vortex lines. The singular behavior of the penetration length describing stretched exponential screening of a perpendicular magnetic field (transverse Meissner effect), the surface transverse magnetization, and the trapping length are determined near the flux-line depinning point.

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Section: A Exact Solution: a Point Impuritymentioning

confidence: 99%

Section: Effect Of Interactions In Thementioning

confidence: 99%

See 1 more Smart Citation

Vortex pinning and non-Hermitian quantum mechanics

Hatano

Nelson²

1997

Phys. Rev. B

572

512

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“…The properties of the driven coherent phase were examined and discussed in [12][13][14][15][16]. Yet a number of unresolved problems remains.…”

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confidence: 99%

Hysteretic Depinning of Anisotropic Charge Density Waves

Vinokur

Nattermann

1997

Phys. Rev. Lett.

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We investigate the depinning transition in a dirty periodic medium considering a model of layered charge density waves as a prototype system. We find that depinning from strong disorder occurs via a two stage process, where, first, the pinned system experiences a continuous transition into a plastically sliding state and undergoes a second sharp hysteretic transition into a coherently moving 3D state at higher drives. In the weakly disordered system the depinning into a coherently sliding state remains continuous.Depinning of periodic structures such as charge density waves (CDW), vortex and domain wall lattices, and Wigner crystal from a random pinning potential under the influence of an external driving force is one of the paradigms of condensed matter physics. All these systems share one thing in common: many of elastically coupled degrees of freedom interacting with a quenched random environment. In this Letter we report analytic results on the nature of the depinning transition in dirty periodic media using CDW dynamics as a prototype model and discuss possible extensions to other systems.Two types of depinning have been observed: a smooth non-hysteretic transition with a unique pinning threshold, and transport switching characterized by an abrupt hysteretic transition into a sliding state [1], [2]. Smooth depinning described in terms of critical behavior [3] follows from the description of the above systems as classical field associated with the distortions of the system. Much of the switching behavior is explained by the possibility of plastic deformations allowing the amplitude of CDW to vanish along certain surfaces within the system [4,5]. Recent experimental and numerical studies [6][7][8][9] of vortex transport in HTS have demonstrated that the depinning of the vortex lattice can also be accompanied by plastic effects.These latter findings suggest that plastic effects can play an essential role in the depinning, and that the nonequilibrium steady state near the transition resembles fluid-like motion. On the contrary, at very high velocities well above the depinning transition the influence of disorder on the dynamics is suppressed and one can expect coherent motion of an almost perfect solid periodic system. A problem of separation of these two different driven regimes has been addressed in [9] in the context of vortex transport. It was proposed that the driven periodic medium subject to sufficiently strong disorder undergoes a sharp hysteretic dynamic transition from coherent motion with almost perfect structure to fluid-like plastic dynamics upon decreasing the drive at a second critical force F f force well above the pinning threshold F T . This was called dynamic freezing. Upon increasing the driving force from the pinned state the vortex lattice starts to slide at F = F T , this depinning being followed by the multiple plastic effects, and elastic motion recovers at F = F f > F T . This concept received strong support both from earlier observations of plastic effects [6] and from the subsequent ...

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“…In fact, recent studies in one dimension [24-261 showed that, even when the product of the two eigenfunctions is delocalized, each of the eigenfunction shows a behavior intermediate between localized and delocalized. It is also suggested [3,15] that the eigenfunction in two dimensions is a fract.al object in the delocalized regime.…”

Section: Localization Length Of the Hermitian Anderson Modelmentioning

confidence: 99%

Non-Hermitian quantum mechanics and localization in physical systems

Hatano¹

1999

Quantum Coherence and Decoherence

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Dynamical transition in sliding charge-density waves with quenched disorder

Cited by 37 publications

References 14 publications

Vortex pinning and non-Hermitian quantum mechanics

Vortex pinning and non-Hermitian quantum mechanics

Hysteretic Depinning of Anisotropic Charge Density Waves

Non-Hermitian quantum mechanics and localization in physical systems

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