Charge Density Waves in Solids


Book Description

The latest addition to this series covers a field which is commonly referred to as charge density wave dynamics.The most thoroughly investigated materials are inorganic linear chain compounds with highly anisotropic electronic properties. The volume opens with an examination of their structural properties and the essential features which allow charge density waves to develop.The behaviour of the charge density waves, where interesting phenomena are observed, is treated both from a theoretical and an experimental standpoint. The role of impurities in statics and dynamics is considered and an examination of the possible role of solitons in incommensurate charge density wave systems is given. A number of ways to describe charge density waves theoretically, using computer simulations as well as microscopical models, are presented by a truely international board of authors.













Investigation of Elastic Effects of Sliding Charge-density Waves


Book Description

The elastic softening associated with the sliding of a charge-density wave (CDW), driven by an electric field, is investigated in o-TaS$sb3$ by use of a vibrating-reed technique. Experiments performed with a dc sliding CDW find the magnitude of the change in Young's modulus, Y, to be proportional to the square of the CDW order parameter and to be independent of pinning strength, in agreement with most theories regarding the phenomenon. The fractional portion of the softening realized at any given field is found to be controlled by the current transported by the CDW. Analysis is presented showing the softening for dc sliding to be consistent with relaxation involving a broad distribution of characteristic times. This distribution is correlated to that for the dielectric function of the stationary state, providing evidence that the pinning forces are not fundamentally different between the stationary and sliding states. Experiments where the CDW was driven by an ac electric field, switched at a frequency f$sb{rm I}$ from 1 Hz to MHz, showed a non-monotonic dependence of the degree of softening on f$sb{rm I}$ near 10 kHz accompanied by a peak in internal friction, and recovery of Y towards its value for a stationary CDW at higher frequency. Simultaneously, the amplitude of the overshoot phenomenon was seen to decrease with f$sb{rm I}$. Such findings indicate the presence of slow dynamical processes which are though to involve relaxations of the CDW phase configuration. The non-monotonic behavior of Y at intermediate frequency is speculated to be due to availability of new relaxational modes not accessible to the dc sliding CDW.







On the Nature of Charge Density Waves, Superconductivity and Their Interplay in 1T-TiSe2


Book Description

This thesis presents analytical theoretical studies on the interplay between charge density waves (CDW) and superconductivity (SC) in the actively studied transition-metal dichalcogenide 1T-TiSe2. It begins by reapproaching a years-long debate over the nature of the phase transition to the commensurate CDW (CCDW) state and the role played by the intrinsic tendency towards excitonic condensation in this system. A Ginzburg-Landau phenomenological theory was subsequently developed to understand the experimentally observed transition from commensurate to incommensurate CDW (ICDW) order with doping or pressure, and the emergence of a superconducting dome that coexists with ICDW. Finally, to characterize microscopically the effects of the interplay between CDW and SC, the spectrum of CDW fluctuations beyond mean-field was studied in detail. In the aggregate, the work reported here provides an encompassing understanding of what are possibly key microscopic underpinnings of the CDW and SC physics in TiSe2.







Conduction Noise in Sliding Charge-density Waves


Book Description

The conduction noise from sliding charge-density waves (CDWs) is studied in NbSe$sb3$ and K$sb{0.3}$MoO$sb3$ (blue bronze). A statistical analysis of the fluctuations in the noise is presented: the probability distributions of the fluctuating spectral components, the power spectra of these fluctuations (i.e. the second spectra), and their correlation functions all indicate that the ac signal accompanying CDW conduction is Gaussian noise. An important consequence of the Gaussian statistics is that the size of the conduction noise is completely characterized by the second moment of its distribution, the rms voltage. This property is instrumental in making reliable measurements of the conduction noise size. Exploiting this reliability, further experiments characterize the behavior of the conduction noise rms voltage as a function of electrical bias and temperature (in both materials), and specimen length (in blue bronze). The principal results of these investigations are: the size of the noise as a function of conduction noise frequency $fsb{0}$ increases and then saturates; saturation occurs when $fsb{0}$ exceeds the material's dielectric relaxation frequency; and the size of the noise in blue bronze increases linearly with specimen length. The principal conclusions of this work are: randomness is central to CDW dynamics; the rms voltage is a reliable and precise characterization of the size of the conduction noise; dielectric relaxation is an important limiting process in CDW sliding; the conduction noise is generated throughout the entire volume of the blue bronze crystals and is intrinsic to CDW conduction; and the length of temporally phase-coherent domains in blue bronze (at 77K) is as long as the specimens themselves.




Theory of Sliding Charge Density Waves and Related Problems


Book Description

The dc dynamics of models of incommensurate charge density wave (CDW) conductivity was reduced to a purely static problem. The dc characteristics of the incommensurate chain have been determined. A microscopic understanding of differences in nonlinear electrical properties of different CDW materials has been obtained. The experimentally observed scaling of field- and frequency-dependent conductivities was shown to occur in classical systems and can therefore no longer be regarded as evidence of quantum tunneling. The dynamic threshold of incommensurate charge density wave conductivity was seen to be described by a new characteristic function, in which singularities emerge as the velocity approaches zero. The dynamics of the incommensurate chain with long range interactions has been solved exactly, using both analytic and graphical techniques. This complete solution provides direct insight into nonlinear sliding conductivity. (Author).