Visualising the Charge and Cooper-Pair Density Waves in Cuprates

Visualising the Charge and Cooper-Pair Density Waves in Cuprates
Author: Stephen Edkins
Publisher: Springer
Total Pages: 193
Release: 2017-08-31
Genre: Technology & Engineering
ISBN: 3319659758

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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.

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

On the Nature of Charge Density Waves, Superconductivity and Their Interplay in 1T-TiSe2
Author: Chuan Chen
Publisher: Springer Nature
Total Pages: 105
Release: 2019-09-27
Genre: Technology & Engineering
ISBN: 3030298256

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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.

Exploring Strongly Interacting Gapless States

Exploring Strongly Interacting Gapless States
Author: Zhehao Dai (Ph. D.)
Publisher:
Total Pages: 161
Release: 2020
Genre:
ISBN:

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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.

The Microscopic Structure of Charge Density Waves in Underdoped YBa2Cu3O6.54 Revealed by X-ray Diffraction

The Microscopic Structure of Charge Density Waves in Underdoped YBa2Cu3O6.54 Revealed by X-ray Diffraction
Author:
Publisher:
Total Pages:
Release: 2015
Genre:
ISBN:

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Charge density wave (CDW) order appears throughout the underdoped high-temperature cuprate superconductors, but the underlying symmetry breaking and the origin of the CDW remain unclear. We use X-ray diffraction to determine the microscopic structure of the CDWs in an archetypical cuprate YBa2Cu3O6.54 at its superconducting transition temperature ~60 K. We find that the CDWs in this material break the mirror symmetry of the CuO2 bilayers. The ionic displacements in the CDWs have two components, which are perpendicular and parallel to the CuO2 planes, and are out of phase with each other. The planar oxygen atoms have the largest displacements, perpendicular to the CuO2 planes. Our results allow many electronic properties of the underdoped cuprates to be understood. For example, the CDWs will lead to local variations in the electronic structure, giving an explicit explanation of density-wave states with broken symmetry observed in scanning tunnelling microscopy and soft X-ray measurements.

Phononic and Electronic Excitations in Complex Oxides Studied with Advanced Infrared and Raman Spectroscopy Techniques

Phononic and Electronic Excitations in Complex Oxides Studied with Advanced Infrared and Raman Spectroscopy Techniques
Author: Fryderyk Lyzwa
Publisher: Springer Nature
Total Pages: 158
Release: 2022-10-05
Genre: Technology & Engineering
ISBN: 3031118669

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This PhD thesis reports on investigations of several oxide-based materials using advanced infrared and Raman spectroscopy techniques and in combination with external stimuli such as high magnetic or electric field, sptial confinement in thin film heterostructures and the radiation with UV light. This leads to new results in the fields of superconductivity, electronic polarization states and nanoscale phenomena. Among these, the observation of anomalous polar moments is of great relevance for understanding the electric-field-induced metal-to-insulator transistion; and the demonstration that confocal Raman spectroscopy of backfolded acoustic photons in metal-oxide multilayers can be used as a powerful characterization tool for monitoring their interface properties and layer thickness is an important technical development for the engineering of such functional oxide heterostructures.

Charge Density Waves in Solids

Charge Density Waves in Solids
Author: L.P. Gor'kov
Publisher: Elsevier
Total Pages: 495
Release: 2012-12-02
Genre: Science
ISBN: 0444600736

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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.

Conductor Insulator Quantum Phase Transitions

Conductor Insulator Quantum Phase Transitions
Author: Vladimir Dobrosavljevic
Publisher: Oxford University Press
Total Pages: 583
Release: 2012-06
Genre: Science
ISBN: 0199592594

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When many particles come together how do they organize themselves? And what destroys this organization? Combining experiments and theory, this book describes intriguing quantum phases - metals, superconductors and insulators - and transitions between them. It captures the excitement and the controversies on topics at the forefront of research.

Ideal Charge-density-wave Order in the High-field State of Superconducting YBCO.

Ideal Charge-density-wave Order in the High-field State of Superconducting YBCO.
Author:
Publisher:
Total Pages: 6
Release: 2016
Genre:
ISBN:

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Here, the existence of charge-density-wave (CDW) correlations in cuprate superconductors has now been established. However, the nature of the CDW ground state has remained uncertain because disorder and the presence of superconductivity typically limit the CDW correlation lengths to only a dozen unit cells or less. Here we explore the field-induced 3D CDW correlations in extremely pure detwinned crystals of YBa2Cu3O2 (YBCO) ortho-II and ortho-VIII at magnetic fields in excess of the resistive upper critical field (Hc2) where superconductivity is heavily suppressed. We observe that the 3D CDW is unidirectional and possesses a long in-plane correlation length as well as significant correlations between neighboring CuO2 planes. It is significant that we observe only a single sharply defined transition at a critical field proportional to Hc2, given that the field range used in this investigation overlaps with other high-field experiments including quantum oscillation measurements. The correlation volume is at least two to three orders of magnitude larger than that of the zero-field CDW. This is by far the largest CDW correlation volume observed in any cuprate crystal and so is presumably representative of the high-field ground state of an "ideal" disorder-free cuprate.

Utilization of Renormalized Mean-Field Theory upon Novel Quantum Materials

Utilization of Renormalized Mean-Field Theory upon Novel Quantum Materials
Author: Wei-Lin Tu
Publisher: Springer
Total Pages: 91
Release: 2019-05-08
Genre: Technology & Engineering
ISBN: 981137824X

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This book offers a new approach to the long-standing problem of high-Tc copper-oxide superconductors. It has been demonstrated that starting from a strongly correlated Hamiltonian, even within the mean-field regime, the “competing orders” revealed by experiments can be achieved using numerical calculations. In the introduction, readers will find a brief review of the high-Tc problem and the unique challenges it poses, as well as a comparatively simple numerical approach, the renormalized mean-field theory (RMFT), which provides rich results detailed in the following chapters. With an additional phase picked up by the original Hamiltonian, some behaviors of interactive fermions under an external magnetic field, which have since been experimentally observed using cold atom techniques, are also highlighted.