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Visualising the Charge and Cooper-Pair Density Waves in Cuprates

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Release : 2017-08-31
Genre : Technology & Engineering
Kind : eBook
Book Rating : 758/5 ( reviews)

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Book Synopsis Visualising the Charge and Cooper-Pair Density Waves in Cuprates by : Stephen Edkins

Download or read book Visualising the Charge and Cooper-Pair Density Waves in Cuprates written by Stephen Edkins. This book was released on 2017-08-31. Available in PDF, EPUB and Kindle. Book excerpt: This thesis reports on the use of scanning tunnelling microscopy to elucidate the atomic-scale electronic structure of a charge density wave, revealing that it has a d-symmetry form factor, hitherto unobserved in nature. It then details the development of an entirely new class of scanned probe: the scanning Josephson tunnelling microscope. This scans the Josephson junction formed between a cuprate superconducting microscope tip and the surface of a cuprate sample, thereby imaging the superfluid density of the sample with nanometer resolution. This novel method is used to establish the existence of a spatially modulated superconducting condensate, something postulated theoretically over half a century ago but never previously observed.

Detection of a Cooper-pair Density Wave in Bi2Sr2CaCu2O8+x

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Release : 2016
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Book Synopsis Detection of a Cooper-pair Density Wave in Bi2Sr2CaCu2O8+x by :

Download or read book Detection of a Cooper-pair Density Wave in Bi2Sr2CaCu2O8+x written by . This book was released on 2016. Available in PDF, EPUB and Kindle. Book excerpt: The quantum condensate of Cooper pairs forming a superconductor was originally conceived as being translationally invariant. In theory, however, pairs can exist with finite momentum Q, thus generating a state with a spatially modulated Cooper-pair density. Such a state has been created in ultracold 6Li gas but never observed directly in any superconductor. It is now widely hypothesized that the pseudogap phase of the copper oxide superconductors contains such a 'pair density wave' state. In this paper we report the use of nanometre-resolution scanned Josephson tunnelling microscopy to image Cooper pair tunnelling from a d-wave superconducting microscope tip to the condensate of the superconductor Bi2Sr2CaCu2O8+x. We demonstrate condensate visualization capabilities directly by using the Cooper-pair density variations surrounding zinc impurity atoms and at the Bi2Sr2CaCu2O8+x crystal supermodulation. Then, by using Fourier analysis of scanned Josephson tunnelling images, we discover the direct signature of a Cooper-pair density modulation at wavevectors QP ≈ (0.25, 0)2[pi]/a0 and (0, 0.25)2[pi]/a0 in Bi2Sr2CaCu2O8+x. The amplitude of these modulations is about five per cent of the background condensate density and their form factor exhibits primarily s or s' symmetry. Finally, this phenomenology is consistent with Ginzburg-Landau theory when a charge density wave with d-symmetry form factor and wavevector QC = QP coexists with a d-symmetry superconductor; it is also predicted by several contemporary microscopic theories for the pseudogap phase.

Charge-density-wave and Pair-density-wave Orders in Underdoped Cuprates

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Release : 2015
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Book Synopsis Charge-density-wave and Pair-density-wave Orders in Underdoped Cuprates by :

Download or read book Charge-density-wave and Pair-density-wave Orders in Underdoped Cuprates written by . This book was released on 2015. Available in PDF, EPUB and Kindle. Book excerpt:

Exploring Strongly Interacting Gapless States

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Release : 2020
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Book Synopsis Exploring Strongly Interacting Gapless States by : Zhehao Dai (Ph. D.)

Download or read book Exploring Strongly Interacting Gapless States written by Zhehao Dai (Ph. D.). This book was released on 2020. Available in PDF, EPUB and Kindle. Book excerpt: We study the physical property of pair density wave (PDW) and fluctuating PDW, and use it to build an effective theory of the strongly interacting pseudogap phase in cuprate high temperature superconductors. In Chapter 2, we study how Fulde-Ferrell state, the simplest form of PDW, responds to incident light. The collective motion of the condensate plays a key role; gauge invariance guides us to the correct result. From Chapter 3 to Chapter 7, we construct a pseudogap metallic state by considering quantum fluctuating PDW. We analyze a recent scanning tunneling microscope (STM) discovery of period-8 density waves in the vortex halo of the d-wave superconductor. We put it in the context of the broader pseudogap phenomenology, and compare the experimental results with various PDW-driven models and a charge density wave (CDW) driven model. We propose experiments to distinguish these different models. We present the Bogoliubov bands of PDW. We discuss fluctuating PDW from the general perspective of fluctuating superconductivity. We discuss how Bogoliubov bands evolve when the superconducting order parameter is fluctuating. We compare theoretical predictions with existing experiments on angle-resolved photoemission spectroscopy (ARPES), infrared conductivity, diamagnetism, and lattice symmetry breaking. The material presented here is based on Ref. [38, 41, 40]. Ref. [39] is not discussed in this thesis but was completed during my time at MIT.

Springer Handbook of Microscopy

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Release : 2019-11-02
Genre : Technology & Engineering
Kind : eBook
Book Rating : 699/5 ( reviews)

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Book Synopsis Springer Handbook of Microscopy by : Peter W. Hawkes

Download or read book Springer Handbook of Microscopy written by Peter W. Hawkes. This book was released on 2019-11-02. Available in PDF, EPUB and Kindle. Book excerpt: This book features reviews by leading experts on the methods and applications of modern forms of microscopy. The recent awards of Nobel Prizes awarded for super-resolution optical microscopy and cryo-electron microscopy have demonstrated the rich scientific opportunities for research in novel microscopies. Earlier Nobel Prizes for electron microscopy (the instrument itself and applications to biology), scanning probe microscopy and holography are a reminder of the central role of microscopy in modern science, from the study of nanostructures in materials science, physics and chemistry to structural biology. Separate chapters are devoted to confocal, fluorescent and related novel optical microscopies, coherent diffractive imaging, scanning probe microscopy, transmission electron microscopy in all its modes from aberration corrected and analytical to in-situ and time-resolved, low energy electron microscopy, photoelectron microscopy, cryo-electron microscopy in biology, and also ion microscopy. In addition to serving as an essential reference for researchers and teachers in the fields such as materials science, condensed matter physics, solid-state chemistry, structural biology and the molecular sciences generally, the Springer Handbook of Microscopy is a unified, coherent and pedagogically attractive text for advanced students who need an authoritative yet accessible guide to the science and practice of microscopy.

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