Nonlinear charge-density-wave dynamics in inhomogeneous conditions

Jelić, Damjan; Bjeli, A.

doi:10.1103/physrevb.43.1735

Cited by 3 publications

(1 citation statement)

References 16 publications

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“…For a longitudinally applied voltage, the main interest lies in observing the space-time vorticity giving rise to phase slip processes. This one-dimensional regime has already been addressed in numerical simulations [50][51][52] based on minimalistic equations derived microscopically [28,49] for a dirty limit near the transition temperature. Contrarily, our multiple equations were designed for a pure system with a well-established gap in the fermionic spectrum where the self-consistent electric field and the reaction of normal carriers become important.…”

Section: The Ginzburg-landau Type Model For the Cdwmentioning

confidence: 99%

Simulations of Dynamical Electronic Vortices in Charge and Spin Density Waves

Kirova

2023

Symmetry

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Charge and spin density waves are typical symmetry broken states of quasi one-dimensional electronic systems. They demonstrate such common features of all incommensurate electronic crystals as a spectacular non-linear conduction by means of the collective sliding and susceptibility to the electric field. These phenomena ultimately require for emergence of static and transient topological defects: there are dislocations as space vortices and space-time vortices known as phase slip centers, i.e., a kind of instantons. Dislocations are statically built-in under a transverse electric field; their sweeping provides a conversion among the normal carriers and condensate which ensures the onset of the collective sliding. A special realization in a high magnetic field, when the density wave is driven by the Hall voltage, originated by quantized normal carriers, reveals the dynamic vorticity serving to annihilate compensating normal and collective currents. Spin density waves, with their rich multiplicative order parameter, bring to life complex objects with half-integer topologically bound vorticities in charge and spin degrees of freedom. We present the basic concepts and modelling results of the stationary states and their transient dynamics involving vorticity. The models take into account multiple fields in their mutual non-linear interactions: the complex order parameter, the self-consistent electric field, and the reaction of normal carriers. We explore the traditional time-dependent Ginzburg–Landau approach and introduce its generalization allowing the treatment of intrinsic normal carriers. The main insights and illustrations come from numerical solutions to partial differential equations for the dissipative dynamics of one and two space dimensions.

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Section: The Ginzburg-landau Type Model For the Cdwmentioning

confidence: 99%

Simulations of Dynamical Electronic Vortices in Charge and Spin Density Waves

Kirova

2023

Symmetry

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Electronic crystals: an experimental overview

Monçeau

2012

Advances in Physics

459

475

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This article reviews the static and dynamic properties of spontaneous superstructures formed by electrons. Representations of such electronic crystals are charge density waves and spin density waves in inorganic as well as organic low dimensional materials. A special attention is paid to the collective effects in pinning and sliding of these superstructures, and the glassy properties at low temperature. Charge order and charge disproportionation which occur in organic materials resulting from correlation effects are analysed. Experiments under magnetic field, and more specifically field-induced charge density waves are discussed. Properties of meso- and nanostructures of charge density waves are also reviewed.Comment: 255 pages, 247 figure

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