Interference effects in nonlinear charge-density-wave dynamics

Jelić, Damjan; Bjeli, A.; Batistić, Ivo

doi:10.1103/physrevb.38.4045

Cited by 9 publications

(2 citation statements)

References 34 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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“…Surface roughness, for instance, gives rise to complex ad-atomic motion across a crystal surface [5,6], the creation of kinks and antikinks [7,8], and can act as a source of templated crystal growth [9,10]. Further examples of rough surfaces appear in the form of sinusoidal potential energy landscapes in superconductors and have direct applications in Josephson junctions [11], vortex motion [12] and charge density waves [13]. These systems are inherently hard to image [14], making studying them challenging.…”

Section: Introductionmentioning

confidence: 99%

Transport of a colloidal particle driven across a temporally oscillating optical potential energy landscape

et al. 2019

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A colloidal particle is driven across a temporally oscillating one-dimensional optical potential energy landscape and its particle motion is analysed. Different modes of dynamic mode locking are observed and are confirmed with the use of phase portraits. The effect of the oscillation frequency on the mode locked step width is addressed and the results are discussed in light of a high-frequency theory and compared to simulations. Furthermore, the influence of the coupling between the particle and the optical landscape on mode locking is probed by increasing the maximum depth of the optical landscape. Stronger coupling is seen to increase the width of mode locked steps. Finally, transport across the temporally oscillating landscape is studied by measuring the effective diffusion coefficient of a mobile particle, which is seen to be highly sensitive to the driving velocity and mode locking.

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Charge Density Waves in Quasi-one-Dimensional Systems

Bjeliš

1990

Applications of Statistical and Field Theory Methods to Condensed Matter

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The search for new superconducting materials and novel types of superconductivity has been, and still is, the main challenge in the investigation of low dimensional systems. Besides the great achievements made by discoveries of superconductivity in organic chain compounds and. layered perovskites, this activity has also highlighted another type of instability which characterizes particularly quasi-one-dimensional conductors. This is the stabilization of the periodic deformation in the crystal lattice, accompained by the formation of the electronic charge density wave (COW), and the openning of the gap at the Fermi leveL This instability was predicted by Peierls 1 in the early days of the modern condensed matter physics, and has been for many years a curious example of spontaneous synunetry breaking in the many electron system coupled to the lattice. Fr6hlich 2 made a further step forward by conjecturing that the Peierls state with the incommensurate modulation is degenerate in phase and possesses a particular type of coherence (quantum rigidity) which makes possible a collective charge transport without dissipation. That was one of the first microscopic proposition for the explanation of superconductivity. There was however no way to extend the model to realistic three-dimensional systems, i. e. to make a necessary step towards the understanding of perfect diamagnetism in the superconducting state. The microscopic theory of superconductivity went in another direction 3 well-known by now.The revival of interest for the Peierls state and the Frohlich mechanism of collective transport was initiated by the e~rimental investigations on the Krogmann salt K pt(CN} Br . H 0 (KCP) and the organic salt TIF_TCNQ.5 Like in the prec~eding the~r~t1~al developnents, the modulations and Peierls gaps in the single-particle excitations observed respectively in structural and spectroscopic measurements were the first well established evidences for the new state. The first clear-cut exneriments showing collective transport were performed a few 6'-8 years later.

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Interference effects in nonlinear charge-density-wave dynamics

Cited by 9 publications

References 34 publications

Simulations of Dynamical Electronic Vortices in Charge and Spin Density Waves

Simulations of Dynamical Electronic Vortices in Charge and Spin Density Waves

Transport of a colloidal particle driven across a temporally oscillating optical potential energy landscape

Charge Density Waves in Quasi-one-Dimensional Systems

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