History of Condensed Matter Physics Joseph D. Martin Consortium for History of Science, Technology, An
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Arxiv:2005.03138V2 [Cond-Mat.Quant-Gas] 23 May 2020 Contents
Condensed Matter Physics in Time Crystals Lingzhen Guo1 and Pengfei Liang2;3 1Max Planck Institute for the Science of Light (MPL), Staudtstrasse 2, 91058 Erlangen, Germany 2Beijing Computational Science Research Center, 100193 Beijing, China 3Abdus Salam ICTP, Strada Costiera 11, I-34151 Trieste, Italy E-mail: [email protected] Abstract. Time crystals are physical systems whose time translation symmetry is spontaneously broken. Although the spontaneous breaking of continuous time- translation symmetry in static systems is proved impossible for the equilibrium state, the discrete time-translation symmetry in periodically driven (Floquet) systems is allowed to be spontaneously broken, resulting in the so-called Floquet or discrete time crystals. While most works so far searching for time crystals focus on the symmetry breaking process and the possible stabilising mechanisms, the many-body physics from the interplay of symmetry-broken states, which we call the condensed matter physics in time crystals, is not fully explored yet. This review aims to summarise the very preliminary results in this new research field with an analogous structure of condensed matter theory in solids. The whole theory is built on a hidden symmetry in time crystals, i.e., the phase space lattice symmetry, which allows us to develop the band theory, topology and strongly correlated models in phase space lattice. In the end, we outline the possible topics and directions for the future research. arXiv:2005.03138v2 [cond-mat.quant-gas] 23 May 2020 Contents 1 Brief introduction to time crystals3 1.1 Wilczek's time crystal . .3 1.2 No-go theorem . .3 1.3 Discrete time-translation symmetry breaking . -
Solid State Physics II Level 4 Semester 1 Course Content
Solid State Physics II Level 4 Semester 1 Course Content L1. Introduction to solid state physics - The free electron theory : Free levels in one dimension. L2. Free electron gas in three dimensions. L3. Electrical conductivity – Motion in magnetic field- Wiedemann-Franz law. L4. Nearly free electron model - origin of the energy band. L5. Bloch functions - Kronig Penney model. L6. Dielectrics I : Polarization in dielectrics L7 .Dielectrics II: Types of polarization - dielectric constant L8. Assessment L9. Experimental determination of dielectric constant L10. Ferroelectrics (1) : Ferroelectric crystals L11. Ferroelectrics (2): Piezoelectricity L12. Piezoelectricity Applications L1 : Solid State Physics Solid state physics is the study of rigid matter, or solids, ,through methods such as quantum mechanics, crystallography, electromagnetism and metallurgy. It is the largest branch of condensed matter physics. Solid-state physics studies how the large-scale properties of solid materials result from their atomic- scale properties. Thus, solid-state physics forms the theoretical basis of materials science. It also has direct applications, for example in the technology of transistors and semiconductors. Crystalline solids & Amorphous solids Solid materials are formed from densely-packed atoms, which interact intensely. These interactions produce : the mechanical (e.g. hardness and elasticity), thermal, electrical, magnetic and optical properties of solids. Depending on the material involved and the conditions in which it was formed , the atoms may be arranged in a regular, geometric pattern (crystalline solids, which include metals and ordinary water ice) , or irregularly (an amorphous solid such as common window glass). Crystalline solids & Amorphous solids The bulk of solid-state physics theory and research is focused on crystals. -
Lecture 3: Fermi-Liquid Theory 1 General Considerations Concerning Condensed Matter
Phys 769 Selected Topics in Condensed Matter Physics Summer 2010 Lecture 3: Fermi-liquid theory Lecturer: Anthony J. Leggett TA: Bill Coish 1 General considerations concerning condensed matter (NB: Ultracold atomic gasses need separate discussion) Assume for simplicity a single atomic species. Then we have a collection of N (typically 1023) nuclei (denoted α,β,...) and (usually) ZN electrons (denoted i,j,...) interacting ∼ via a Hamiltonian Hˆ . To a first approximation, Hˆ is the nonrelativistic limit of the full Dirac Hamiltonian, namely1 ~2 ~2 1 e2 1 Hˆ = 2 2 + NR −2m ∇i − 2M ∇α 2 4πǫ r r α 0 i j Xi X Xij | − | 1 (Ze)2 1 1 Ze2 1 + . (1) 2 4πǫ0 Rα Rβ − 2 4πǫ0 ri Rα Xαβ | − | Xiα | − | For an isolated atom, the relevant energy scale is the Rydberg (R) – Z2R. In addition, there are some relativistic effects which may need to be considered. Most important is the spin-orbit interaction: µ Hˆ = B σ (v V (r )) (2) SO − c2 i · i × ∇ i Xi (µB is the Bohr magneton, vi is the velocity, and V (ri) is the electrostatic potential at 2 3 2 ri as obtained from HˆNR). In an isolated atom this term is o(α R) for H and o(Z α R) for a heavy atom (inner-shell electrons) (produces fine structure). The (electron-electron) magnetic dipole interaction is of the same order as HˆSO. The (electron-nucleus) hyperfine interaction is down relative to Hˆ by a factor µ /µ 10−3, and the nuclear dipole-dipole SO n B ∼ interaction by a factor (µ /µ )2 10−6. -
A Short Review of Phonon Physics Frijia Mortuza
International Journal of Scientific & Engineering Research Volume 11, Issue 10, October-2020 847 ISSN 2229-5518 A Short Review of Phonon Physics Frijia Mortuza Abstract— In this article the phonon physics has been summarized shortly based on different articles. As the field of phonon physics is already far ad- vanced so some salient features are shortly reviewed such as generation of phonon, uses and importance of phonon physics. Index Terms— Collective Excitation, Phonon Physics, Pseudopotential Theory, MD simulation, First principle method. —————————— —————————— 1. INTRODUCTION There is a collective excitation in periodic elastic arrangements of atoms or molecules. Melting transition crystal turns into liq- uid and it loses long range transitional order and liquid appears to be disordered from crystalline state. Collective dynamics dispersion in transition materials is mostly studied with a view to existing collective modes of motions, which include longitu- dinal and transverse modes of vibrational motions of the constituent atoms. The dispersion exhibits the existence of collective motions of atoms. This has led us to undertake the study of dynamics properties of different transitional metals. However, this collective excitation is known as phonon. In this article phonon physics is shortly reviewed. 2. GENERATION AND PROPERTIES OF PHONON Generally, over some mean positions the atoms in the crystal tries to vibrate. Even in a perfect crystal maximum amount of pho- nons are unstable. As they are unstable after some time of period they come to on the object surface and enters into a sensor. It can produce a signal and finally it leaves the target object. In other word, each atom is coupled with the neighboring atoms and makes vibration and as a result phonon can be found [1]. -
Outline of Physical Science
Outline of physical science “Physical Science” redirects here. It is not to be confused • Astronomy – study of celestial objects (such as stars, with Physics. galaxies, planets, moons, asteroids, comets and neb- ulae), the physics, chemistry, and evolution of such Physical science is a branch of natural science that stud- objects, and phenomena that originate outside the atmosphere of Earth, including supernovae explo- ies non-living systems, in contrast to life science. It in turn has many branches, each referred to as a “physical sions, gamma ray bursts, and cosmic microwave background radiation. science”, together called the “physical sciences”. How- ever, the term “physical” creates an unintended, some- • Branches of astronomy what arbitrary distinction, since many branches of physi- cal science also study biological phenomena and branches • Chemistry – studies the composition, structure, of chemistry such as organic chemistry. properties and change of matter.[8][9] In this realm, chemistry deals with such topics as the properties of individual atoms, the manner in which atoms form 1 What is physical science? chemical bonds in the formation of compounds, the interactions of substances through intermolecular forces to give matter its general properties, and the Physical science can be described as all of the following: interactions between substances through chemical reactions to form different substances. • A branch of science (a systematic enterprise that builds and organizes knowledge in the form of • Branches of chemistry testable explanations and predictions about the • universe).[1][2][3] Earth science – all-embracing term referring to the fields of science dealing with planet Earth. Earth • A branch of natural science – natural science science is the study of how the natural environ- is a major branch of science that tries to ex- ment (ecosphere or Earth system) works and how it plain and predict nature’s phenomena, based evolved to its current state. -
Introduction to Solid State Physics
Introduction to Solid State Physics Sonia Haddad Laboratoire de Physique de la Matière Condensée Faculté des Sciences de Tunis, Université Tunis El Manar S. Haddad, ASP2021-23-07-2021 1 Outline Lecture I: Introduction to Solid State Physics • Brief story… • Solid state physics in daily life • Basics of Solid State Physics Lecture II: Electronic band structure and electronic transport • Electronic band structure: Tight binding approach • Applications to graphene: Dirac electrons Lecture III: Introduction to Topological materials • Introduction to topology in Physics • Quantum Hall effect • Haldane model S. Haddad, ASP2021-23-07-2021 2 It’s an online lecture, but…stay focused… there will be Quizzes and Assignments! S. Haddad, ASP2021-23-07-2021 3 References Introduction to Solid State Physics, Charles Kittel Solid State Physics Neil Ashcroft and N. Mermin Band Theory and Electronic Properties of Solids, John Singleton S. Haddad, ASP2021-23-07-2021 4 Outline Lecture I: Introduction to Solid State Physics • A Brief story… • Solid state physics in daily life • Basics of Solid State Physics Lecture II: Electronic band structure and electronic transport • Tight binding approach • Applications to graphene: Dirac electrons Lecture III: Introduction to Topological materials • Introduction to topology in Physics • Quantum Hall effect • Haldane model S. Haddad, ASP2021-23-07-2021 5 Lecture I: Introduction to solid state Physics What is solid state Physics? Condensed Matter Physics (1960) solids Soft liquids Complex Matter systems Optical lattices, Non crystal Polymers, liquid crystal Biological systems (glasses, crystals, colloids s Economic amorphs) systems Neurosystems… S. Haddad, ASP2021-23-07-2021 6 Lecture I: Introduction to solid state Physics What is condensed Matter Physics? "More is different!" P.W. -
Physics 211A Special Topic Paper Scientist: Yakov Frenkel Paper: on the Transformation of Light Into Heat in Solids I
Physics 211A Special Topic Paper Scientist: Yakov Frenkel Paper: On the Transformation of Light into Heat in Solids I Kelson Kaj, A11478149 11/29/18 Introduction Jakov Frenkel was a Russian born physicist who made multiple contri- butions to fields both within and outside of condensed matter physics. His book Kinetic Theory of Liquids, is a classic text on the subject [1]. He has also made contributions to semiconductor physics, specifically in coming up with the Poole-Frenkel effect [2]. One of his most important contributions was the introduction of Frenkel Excitons, in his paper On the Transforma- tion of Light into Heat in Solids I, although he certainly did not refer to the excitations he studied as "Frenkel Excitons," in the paper [3]. This is the topic that I will present in this report. Frenkel's paper has garnered over 540 citations. Although this is impressive, it doesn't even begin to capture the influence of Frenkel's work. Excitons are bound states made up of an electron and a hole, and have become their own sub-field of condensed matter physics, with some labs devoted completely to their study. The excitons studied in Frenkel's work, Frenkel Excitons, are only one type of exciton. As will be discussed further below, Frenkel Excitons are highly localized excitons, where the hole and electron are less than a lattice constant from each other and are localized to the same atom in the crystal. This is in contrast to other kinds of excitons, such as Wannier Excitons, where the distance between the electron and hole can be larger than a lattice constant, and the electron and hole are not necessarily localized to the same atom on the crystal [4]. -
BPA Newsletter For
BPA NEWS Board on Physics and Astronomy • National Research Council • Washington, DC • 202-334-3520 • [email protected] • December, 1997 challenges they face. tions was available only to concertgoers. The Physics of Within our lifetimes, improvements in Just a few generations ago, a trip Materials our understanding of materials have across the United States was a great transformed the computer from an exotic adventure. Today, jets whisk us safely by Venkatesh Narayanamurti, tool, used only by scientists, to an essen- across the continent or the oceans in only Chair, Committee on Condensed- tial component of almost every aspect of a few hours. Matter and Materials Physics and our lives. Computers enable us to keep Making these extraordinary accom- Dean of Engineering, UC Santa track of extraordinarily complex data, plishments possible are a wide variety of Barbara from managing financial transactions to polymeric, ceramic, and metallic materi- forecasting weather. They control auto- als, as well as the transistor, the magnetic mobile production lines and guide air- disk, the laser, the light-emitting diode, HE Committee on Condensed- craft around the world. and a host of other solid-state devices. TMatter and Materials Physics, which During the same period, telecommu- The development of these materials and was commissioned by the BPA to prepare nication has evolved from rudimentary devices depended on our ability to predict a volume of the new survey, Physics in a telephone conversations to instantaneous and control the physical properties of New Era, has just completed a short simultaneous worldwide transmission of matter. That ability is the realm of con- preliminary report entitled The Physics of voice, video images, and data. -
Density of States Explanation
www.Vidyarthiplus.com Engineering Physics-II Conducting materials- - Density of energy states and carrier concentration Learning Objectives On completion of this topic you will be able to understand: 1. Density if energy states and carrier concentration Density of states In statistical and condensed matter physics , the density of states (DOS) of a system describes the number of states at each energy level that are available to be occupied. A high DOS at a specific energy level means that there are many states available for occupation. A DOS of zero means that no states can be occupied at that energy level. Explanation Waves, or wave-like particles, can only exist within quantum mechanical (QM) systems if the properties of the system allow the wave to exist. In some systems, the interatomic spacing and the atomic charge of the material allows only electrons of www.Vidyarthiplus.com Material prepared by: Physics faculty Topic No: 5 Page 1 of 6 www.Vidyarthiplus.com Engineering Physics-II Conducting materials- - Density of energy states and carrier concentration certain wavelengths to exist. In other systems, the crystalline structure of the material allows waves to propagate in one direction, while suppressing wave propagation in another direction. Waves in a QM system have specific wavelengths and can propagate in specific directions, and each wave occupies a different mode, or state. Because many of these states have the same wavelength, and therefore share the same energy, there may be many states available at certain energy levels, while no states are available at other energy levels. For example, the density of states for electrons in a semiconductor is shown in red in Fig. -
Free Executive Summary)
Condensed-Matter and Materials Physics: The Science of the World Around Us (Free Executive Summary) http://www.nap.edu/catalog/11967.html Free Executive Summary Condensed-Matter and Materials Physics: The Science of the World Around Us Committee on CMMP 2010, Solid State Sciences Committee, National Research Council ISBN: 978-0-309-10969-7, 286 pages, 7 x 10, paperback (2007) This free executive summary is provided by the National Academies as part of our mission to educate the world on issues of science, engineering, and health. If you are interested in reading the full book, please visit us online at http://www.nap.edu/catalog/11967.html . You may browse and search the full, authoritative version for free; you may also purchase a print or electronic version of the book. If you have questions or just want more information about the books published by the National Academies Press, please contact our customer service department toll-free at 888-624-8373. The development of transistors, the integrated circuit, liquid-crystal displays, and even DVD players can be traced back to fundamental research pioneered in the field of condensed-matter and materials physics (CMPP). The United States has been a leader in the field, but that status is now in jeopardy. Condensed-Matter and Materials Physics, part of the Physics 2010 decadal survey project, assesses the present state of the field in the United States, examines possible directions for the 21st century, offers a set of scientific challenges for American researchers to tackle, and makes recommendations for effective spending of federal funds. -
Solid State Physics
1 Solid State Physics Semiclassical motion in a magnetic ¯eld 16 Lecture notes by Quantization of the cyclotron orbit: Landau levels 16 Michael Hilke Magneto-oscillations 17 McGill University (v. 10/25/2006) Phonons: lattice vibrations 17 Mono-atomic phonon dispersion in 1D 17 Optical branch 18 Experimental determination of the phonon Contents dispersion 18 Origin of the elastic constant 19 Introduction 2 Quantum case 19 The Theory of Everything 3 Transport (Boltzmann theory) 21 Relaxation time approximation 21 H2O - An example 3 Case 1: F~ = ¡eE~ 21 Di®usion model of transport (Drude) 22 Binding 3 Case 2: Thermal inequilibrium 22 Van der Waals attraction 3 Physical quantities 23 Derivation of Van der Waals 3 Repulsion 3 Semiconductors 24 Crystals 3 Band Structure 24 Ionic crystals 4 Electron and hole densities in intrinsic (undoped) Quantum mechanics as a bonder 4 semiconductors 25 Hydrogen-like bonding 4 Doped Semiconductors 26 Covalent bonding 5 Carrier Densities in Doped semiconductor 27 Metals 5 Metal-Insulator transition 27 Binding summary 5 In practice 28 p-n junction 28 Structure 6 Illustrations 6 One dimensional conductance 29 Summary 6 More than one channel, the quantum point Scattering 6 contact 29 Scattering theory of everything 7 1D scattering pattern 7 Quantum Hall e®ect 30 Point-like scatterers on a Bravais lattice in 3D 7 General case of a Bravais lattice with basis 8 superconductivity 30 Example: the structure factor of a BCC lattice 8 BCS theory 31 Bragg's law 9 Summary of scattering 9 Properties of Solids and liquids 10 single electron approximation 10 Properties of the free electron model 10 Periodic potentials 11 Kronig-Penney model 11 Tight binging approximation 12 Combining Bloch's theorem with the tight binding approximation 13 Weak potential approximation 14 Localization 14 Electronic properties due to periodic potential 15 Density of states 15 Average velocity 15 Response to an external ¯eld and existence of holes and electrons 15 Bloch oscillations 16 2 INTRODUCTION derived based on a periodic lattice. -
(Owen Willans) Richardson
O. W. (Owen Willans) Richardson: An Inventory of His Papers at the Harry Ransom Center Descriptive Summary Creator: Richardson, O. W. (Owen Willans), 1879-1959 Title: O. W. (Owen Willans) Richardson Papers Dates: 1898-1958 (bulk 1920-1940) Extent: 112 document boxes, 2 oversize boxes (49.04 linear feet), 1 oversize folder (osf), 5 galley folders (gf) Abstract: The papers of Sir O. W. (Owen Willans) Richardson, the Nobel Prize-winning British physicist who pioneered the field of thermionics, contain research materials and drafts of his writings, correspondence, as well as letters and writings from numerous distinguished fellow scientists. Call Number: MS-3522 Language: Primarily English; some works and correspondence written in French, German, or Italian . Note: The Ransom Center gratefully acknowledges the assistance of the Center for History of Physics, American Institute of Physics, which provided funds to support the processing and cataloging of this collection. Access: Open for research Administrative Information Additional The Richardson Papers were microfilmed and are available on 76 Physical Format reels. Each item has a unique identifying number (W-xxxx, L-xxxx, Available: R-xxxx, or M-xxxx) that corresponds to the microfilm. This number was recorded on the file folders housing the papers and can also be found on catalog slips present with each item. Acquisition: Purchase, 1961 (R43, R44) and Gift, 2005 Processed by: Tessa Klink and Joan Sibley, 2014 Repository: The University of Texas at Austin, Harry Ransom Center Richardson, O. W. (Owen Willans), 1879-1959 MS-3522 2 Richardson, O. W. (Owen Willans), 1879-1959 MS-3522 Biographical Sketch The English physicist Owen Willans Richardson, who pioneered the field of thermionics, was also known for his work on photoelectricity, spectroscopy, ultraviolet and X-ray radiation, the electron theory, and quantum theory.