Chemical Vapour Deposition of Graphene—Synthesis, Characterisation, and Applications: a Review
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Allan Hugh Macdonald Date and Place of Birth
10/31/2014 CURRICULUM VITAE ALLAN H. MACDONALD Full name: Allan Hugh MacDonald Date and place of birth: December 1, 1951 Antigonish, Nova Scotia, Canada Citizenships: Canadian and American Present address: 2519 Harris Boulevard Austin, Texas 78703 USA Phone (512) 495-9192 Institutional affiliation: The University of Texas at Austin Austin, Texas 78712 Phone (512) 232-9113 FAX (512) 471-9621 e-mail: [email protected] Title: Sid W. Richardson Foundation Regents Chair Field of Specialization: Condensed Matter Theory Employment: September 1973 -- April 1978 Ph.D. Student University of Toronto May 1978 -- October 1980 Research Associate --- National Research Council November 1980 -- June 1982 Assistant Research Officer -- National Research Council of Canada August 1982 -- August 1987 Associate Research Officer --- National Research Council of Canada September 1987 -- August 1992 Professor of Physics --- Indiana University September 1992 -- August 2000 Distinguished Professor of Physics --- Indiana University September 2000 -- present Sid W. Richardson Foundation Regents Chair --- The University of Texas at Austin 1 10/31/2014 Scholarships and Honors: President's Scholarship, St. Francis Xavier University, 1969–1973 Governor-General's Medal, St. Francis Xavier University, 1973 (Highest academic standing in graduating class) NSERC 1967 Science Scholarship, University of Toronto, 1973–1977 Herzberg Medal, 1987 (Awarded by the Canadian Association of Physicists) Fellow of the American Physical Society, 1989 Sid W. Richardson Foundation Regents -
Moiré Band Topology in Twisted Bilayer Graphene
Moiré Band Topology in Twisted Bilayer Graphene Chao Ma, † Qiyue Wang, ‡ Scott Mills,§ Xiaolong Chen, †# Bingchen Deng, † Shaofan Yuan, † Cheng Li, † Kenji Watanabe, || Takashi Taniguchi, || Du Xu, *§ Fan Zhang, *‡ and Fengnian Xia*† †Department of Electrical Engineering, Yale University, New Haven, Connecticut 06511, USA ‡Department of Physics, The University of Texas at Dallas, Richardson, TX 7508, USA §Department of Physics and Astronomy, Stony Brook University, Stony Brook, NY11794, USA ||National Institute for Materials Science, 1-1 Namiki, Tsukuba 305-0044, Japan 1 ABSTRACT Recently twisted bilayer graphene (t-BLG) emerges as a new strongly correlated physical platform near a magic twist angle, which hosts many exciting phenomena such as the Mott-like insulating phases, unconventional superconducting behavior and emergent ferromagnetism. Besides the apparent significance of band flatness, band topology may be another critical element in determining strongly correlated twistronics yet receives much less attention. Here we report compelling evidence for nontrivial noninteracting band topology of t-BLG moiré Dirac bands through a systematic nonlocal transport study, in conjunction with an examination rooted in K- theory. The moiré band topology of t-BLG manifests itself as two pronounced nonlocal responses in the electron and hole superlattice gaps. We further show that the nonlocal responses are robust to the interlayer electric field, twist angle, and edge termination, exhibiting a universal scaling law. While an unusual symmetry of t-BLG trivializes Berry curvature, we elucidate that two Z2 invariants characterize the topology of the moiré Dirac bands, validating the topological edge origin of the observed nonlocal responses. Our findings not only provide a new perspective for understanding the emerging strongly correlated phenomena in twisted van der Waals heterostructures, but also suggest a potential strategy to achieve topologically nontrivial metamaterials from topologically trivial quantum materials based on twist engineering. -
Exploring the Electrical Properties of Twisted Bilayer Graphene
Linfield University DigitalCommons@Linfield Senior Theses Student Scholarship & Creative Works 5-2019 Exploring the Electrical Properties of Twisted Bilayer Graphene William Shannon Linfield College Follow this and additional works at: https://digitalcommons.linfield.edu/physstud_theses Part of the Condensed Matter Physics Commons, Energy Systems Commons, Engineering Physics Commons, Materials Science and Engineering Commons, and the Power and Energy Commons Recommended Citation Shannon, William, "Exploring the Electrical Properties of Twisted Bilayer Graphene" (2019). Senior Theses. 45. https://digitalcommons.linfield.edu/physstud_theses/45 This Thesis (Open Access) is protected by copyright and/or related rights. It is brought to you for free via open access, courtesy of DigitalCommons@Linfield, with permission from the rights-holder(s). Your use of this Thesis (Open Access) must comply with the Terms of Use for material posted in DigitalCommons@Linfield, or with other stated terms (such as a Creative Commons license) indicated in the record and/or on the work itself. For more information, or if you have questions about permitted uses, please contact [email protected]. Exploring the Electrical Properties of Twisted Bilayer Graphene William Shannon A THESIS Presented to the Department of Physics LINFIELD COLLEGE McMinnville, Oregon In partial fulfillment of the requirements for the Degree of BACHELOR OF SCIENCE May, 2019 THESIS COPYRIGHT PERMISSIONS Pleaseread this document carefully before signing. If you have questions about any of these permissions,please contact the DigitalCommonsCoordinator. Title of the Thesis: Exploring the Electrical Properties of Twisted Bilayer Graphene Author's Name: (Last name, first name) Shannon, William111 Advisor's Name DigitalCommons@Linfield(DC@L) is our web-based, open access-compliantinstitutional repository for digital content produced by Linfield faculty, students, staff, and their collaborators. -
Critical Point for Bose–Einstein Condensation of Excitons in Graphite
Critical point for Bose–Einstein condensation of excitons in graphite Jinhua Wanga,b , Pan Niea,b , Xiaokang Lia,b, Huakun Zuoa,b, Benoˆıt Fauque´ c, Zengwei Zhua,b,1 , and Kamran Behniad aWuhan National High Magnetic Field Center, Huazhong University of Science and Technology, Wuhan 430074, China; bSchool of Physics, Huazhong University of Science and Technology, Wuhan 430074, China; cJeunes Equipes´ de l’Institut de Physique, Unite´ Mixte de Service et de Recherche 3573, CNRS, College` de France, Paris Sciences et Lettres Research University, 75231 Paris Cedex 05, France; and dLaboratoire de Physique et d’Etude´ des Materiaux,´ CNRS, Ecole´ Superieure´ de Physique et de Chimie Industrielles Paris, Paris Sciences et Lettres Research University, 75005 Paris, France Edited by Zachary Fisk, University of California, Irvine, CA, and approved October 15, 2020 (received for review June 22, 2020) An exciton is an electron–hole pair bound by attractive Coulomb nature of EI unexpected in the alternative Peierls-driven charge interaction. Short-lived excitons have been detected by a vari- density wave (CDW) (9). Other indirect signatures of BEC ety of experimental probes in numerous contexts. An excitonic transition have been reported in two-dimensional systems, such insulator, a collective state of such excitons, has been more elu- as quantum wells (11), graphene (12–14), and transition metal sive. Here, thanks to Nernst measurements in pulsed magnetic dichalcogenides heterostructures (15, 16). fields, we show that in graphite there is a critical temperature Here, we present the case of graphite subject to strong mag- (T = 9.2 K) and a critical magnetic field (B = 47 T) for Bose–Einstein netic field where the existence of a thermodynamic phase transi- condensation of excitons. -
Simple Method for Measuring the Zero-Dispersion Wavelength in Optical Fibers Maxime Droques, Benoit Barviau, Alexandre Kudlinski, Géraud Bouwmans and Arnaud Mussot
Simple Method for Measuring the Zero-Dispersion Wavelength in Optical Fibers Maxime Droques, Benoit Barviau, Alexandre Kudlinski, Géraud Bouwmans and Arnaud Mussot Abstract— We propose a very simple method for measuring the zero-dispersion wavelength of an optical fiber as well as the ratio between the third- and fourth-order dispersion terms. The method is based on the four wave mixing process when pumping the fiber in the normal dispersion region, and only requires the measurement of two spectra, provided that a source tunable near the zero- dispersion wavelength is available. We provide an experimental demonstration of the method in a photonic crystal fiber and we show that the measured zero-dispersion wavelength is in good agreement with a low-coherence interferometry measurement. Index Terms— Photonic crystal fiber, four-wave-mixing, chromatic dispersion, zero-dispersion wavelength. I. INTRODUCTION Group velocity dispersion (GVD) is one of the key characteristics of optical fibers. It is thus important to be able to accurately measure this parameter. The techniques developed to reach this goal can be divided into two main categories: the ones based on linear processes, such as time-of-flight, phase-shift or interferometric measurements [1-4]; and the ones based on nonlinear effects, such as four wave mixing (FWM), mainly [5-8]. The main advantage of these last ones is that the GVD measurement can be made in fiber samples ranging from a few meters up to hundred of meters long, while linear techniques are restricted to either very short samples (in the meter range) or to very long ones (in the kilometer range). -
Wafer Scale Homogeneous Bilayer Graphene Films by Chemical Vapor
Wafer Scale Homogeneous Bilayer Graphene Films by Chemical Vapor Deposition Seunghyun Lee§, Kyunghoon Lee§, Zhaohui Zhong * Department of Electrical Engineering and Computer Science, University of Michigan Ann Arbor, MI 48109, USA § These authors contributed equally to this work. *Corresponding author. Electronic mail: [email protected] ABSTRACT The discovery of electric field induced bandgap opening in bilayer graphene opens new door for making semiconducting graphene without aggressive size scaling or using expensive substrates. However, bilayer graphene samples have been limited to µm2 size scale thus far, and synthesis of wafer scale bilayer graphene posts tremendous challenge. Here we report homogeneous bilayer graphene films over at least 2 inch × 2 inch area, synthesized by chemical vapor deposition on copper foil and subsequently transferred to arbitrary substrates. The bilayer nature of graphene film is verified by Raman spectroscopy, atomic force microscopy (AFM), and transmission electron microscopy (TEM). Importantly, spatially resolved Raman spectroscopy confirms a bilayer coverage of over 99%. The homogeneity of the film is further supported by electrical transport measurements on dual-gate bilayer graphene transistors, in which bandgap opening is observed in 98% of the devices. 1 KEYWORDS Graphene, bilayer, chemical vapor deposition, wafer scale, bandgap opening Single and few-layer graphene1-5 are promising materials for post-silicon electronics because of their potential of integrating bottom-up nanomaterial synthesis with top-down lithographic fabrication at wafer scale.4,6 However, single layer graphene is intrinsically semimetal; introducing energy bandgap requires patterning nanometer-width graphene ribbons7-9 or utilizing special substrates.10-12 Bilayer graphene, instead, has an electric field induced bandgap up to 250 meV,13-18 thus eliminating the need for extreme scaling or costly substrates. -
Tauc-Lorentz Dispersion Formula
TN11 Tauc-Lorentz Dispersion Formula Spectroscopic ellipsometry (SE) is a technique based on the measurement of the relative phase change of re- flected and polarized light in order to characterize thin film optical functions and other properties. The meas- ured SE data are used to describe a model where layers refer to given materials. The model uses mathematical relations called dispersion formulae that help to evaluate the material’s optical properties by adjusting specific fit parameters. This technical note deals with Tauc-Lorentz dispersion formula. Theoretical model The real part εr,TL of the dielectric function is derived from the expression of εi using the Kramers-Kronig integration. Jellison and Modine developed this model (1996) using Then, it comes the following expression for εi: the Tauc joint density of states and the Lorentz oscillator. The complex dielectric function is : 2 ∞ ξ ⋅ε ()ξ ε ()E = ε ()∞ + ⋅ P ⋅ i dξ ()5 ~ε =ε + i ⋅ε =ε + i ⋅(ε × ε ) (1) r r π ∫ ξ 2 − E 2 TL r,TL i,TL r,TL i,T i, L Eg Here the imaginary part εi,TL of the dielectric function is where P is the Cauchy principal value containing the resi- given by the product of imaginary part of Tauc’s (1966) dues of the integral at poles located on lower half of the dielectric εi,T function with Lorentz one εi,L. In the approx- complex plane and along the real axis. imation of parabolic bands, Tauc’s dielectric function de- According to Jellison and Modine (Ref. 1), the derivation scribes inter-band transitions above the band edge as : of the previous integral yields : E − E 2 ⎛ g ⎞ 2 2 εi,T ()E > Eg = AT ⋅⎜ ⎟ ()2 A⋅C ⋅a ⎡ E + E + α ⋅ E ⎤ ⎜ E ⎟ ln 0 g g ⎝ ⎠ εr,TL ()E = ε∞ + 4 ⋅ln⎢ 2 2 ⎥ where : 2⋅π ⋅ζ ⋅α ⋅ E0 ⎣⎢ E0 + Eg − α ⋅ Eg ⎦⎥ -A is the Tauc coefficient T A a ⎡ ⎛ 2⋅ E + α ⎞ - E is the photon energy − ⋅ a tan ⋅ π − arctan⎜ g ⎟ + 4 ⎢ ⎜ ⎟ K -Eg is the optical band gap π ζ ⋅ E0 ⎣ ⎝ C ⎠ The imaginary part of Tauc’s dielectric function gives the ⎛ α − 2⋅ E ⎞⎤ response of the material caused by inter-band mecha- g + arctan⎜ ⎟⎥ nisms only : thus εi, T (E ≤ Eg) = 0. -
Gate Controlled Valley Polarizer in Bilayer Graphene ✉ Hao Chen1,2, Pinjia Zhou1, Jiawei Liu1,2, Jiabin Qiao1, Barbaros Oezyilmaz1,2 & Jens Martin 1,2,3
ARTICLE https://doi.org/10.1038/s41467-020-15117-y OPEN Gate controlled valley polarizer in bilayer graphene ✉ Hao Chen1,2, Pinjia Zhou1, Jiawei Liu1,2, Jiabin Qiao1, Barbaros Oezyilmaz1,2 & Jens Martin 1,2,3 Sign reversal of Berry curvature across two oppositely gated regions in bilayer graphene can give rise to counter-propagating 1D channels with opposite valley indices. Considering spin and sub-lattice degeneracy, there are four quantized conduction channels in each direction. Previous experimental work on gate-controlled valley polarizer achieved good contrast only in the presence of an external magnetic field. Yet, with increasing magnetic field the ungated 1234567890():,; regions of bilayer graphene will transit into the quantum Hall regime, limiting the applications of valley-polarized electrons. Here we present improved performance of a gate-controlled valley polarizer through optimized device geometry and stacking method. Electrical mea- surements show up to two orders of magnitude difference in conductance between the valley-polarized state and gapped states. The valley-polarized state displays conductance of nearly 4e2/h and produces contrast in a subsequent valley analyzer configuration. These results pave the way to further experiments on valley-polarized electrons in zero magnetic field. 1 Centre for Advanced 2D Materials, National University of Singapore, 6 Science Drive 2, 117546 Singapore, Singapore. 2 Department of Physics, National University of Singapore, 2 Science Drive 3, 117551 Singapore, Singapore. 3Present address: -
Arxiv:2105.05857V1 [Cond-Mat.Str-El] 12 May 2021
Kekul´espiral order at all nonzero integer fillings in twisted bilayer graphene Y.H. Kwan,1 G. Wagner,1 T. Soejima,2 M.P. Zaletel,2, 3 S.H. Simon,1 S.A. Parameswaran,1 and N. Bultinck1, 4 1Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Oxford OX1 3PU, United Kingdom 2Department of Physics, University of California, Berkeley, California 94720, USA 3Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA 4Department of Physics, Ghent University, 9000 Ghent, Belgium We study magic angle graphene in the presence of both strain and particle-hole symmetry break- ing due to non-local inter-layer tunneling. We perform a self-consistent Hartree-Fock study that incorporates these effects alongside realistic interaction and substrate potentials, and explore a com- prehensive set of competing orders including those that break translational symmetry at arbitrary wavevectors. We find that at all non-zero integer fillings very small strains, comparable to those measured in scanning tunneling experiments, stabilize a fundamentally new type of time-reversal symmetric and spatially non-uniform order. This order, which we dub the `incommensurate Kekul´e spiral' (IKS) order, spontaneously breaks both the emergent valley-charge conservation and moir´e translation symmetries, but preserves a modified translation symmetry T^0 | which simultaneously shifts the spatial coordinates and rotates the U(1) angle which characterizes the spontaneous inter- valley coherence. We discuss the phenomenological and microscopic properties of this order. We argue that our findings are consistent with all experimental observations reported so far, suggesting a unified explanation of the global phase diagram in terms of the IKS order. -
Section 5: Optical Amplifiers
SECTION 5: OPTICAL AMPLIFIERS 1 OPTICAL AMPLIFIERS S In order to transmit signals over long distances (>100 km) it is necessary to compensate for attenuation losses within the fiber. S Initially this was accomplished with an optoelectronic module consisting of an optical receiver, a regeneration and equalization system, and an optical transmitter to send the data. S Although functional this arrangement is limited by the optical to electrical and electrical to optical conversions. Fiber Fiber OE OE Rx Tx Electronic Amp Optical Equalization Signal Optical Regeneration Out Signal In S Several types of optical amplifiers have since been demonstrated to replace the OE – electronic regeneration systems. S These systems eliminate the need for E-O and O-E conversions. S This is one of the main reasons for the success of today’s optical communications systems. 2 OPTICAL AMPLIFIERS The general form of an optical amplifier: PUMP Power Amplified Weak Fiber Signal Signal Fiber Optical AMP Medium Optical Signal Optical Out Signal In Some types of OAs that have been demonstrated include: S Semiconductor optical amplifiers (SOAs) S Fiber Raman and Brillouin amplifiers S Rare earth doped fiber amplifiers (erbium – EDFA 1500 nm, praseodymium – PDFA 1300 nm) The most practical optical amplifiers to date include the SOA and EDFA types. New pumping methods and materials are also improving the performance of Raman amplifiers. 3 Characteristics of SOA types: S Polarization dependent – require polarization maintaining fiber S Relatively high gain ~20 dB S Output saturation power 5-10 dBm S Large BW S Can operate at 800, 1300, and 1500 nm wavelength regions. -
Examples of Translucent Objects
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Landau Quantization of Dirac Fermions in Graphene and Its Multilayers
Front. Phys. 12(4), 127208 (2017) DOI 10.1007/s11467-016-0655-5 REVIEW ARTICLE Landau quantization of Dirac fermions in graphene and its multilayers Long-jing Yin (殷隆晶), Ke-ke Bai (白珂珂), Wen-xiao Wang (王文晓), Si-Yu Li (李思宇), Yu Zhang (张钰), Lin He (何林)ǂ The Center for Advanced Quantum Studies, Department of Physics, Beijing Normal University, Beijing 100875, China Corresponding author. E-mail: ǂ[email protected] Received December 28, 2016; accepted January 26, 2017 When electrons are confined in a two-dimensional (2D) system, typical quantum–mechanical phenomena such as Landau quantization can be detected. Graphene systems, including the single atomic layer and few-layer stacked crystals, are ideal 2D materials for studying a variety of quantum–mechanical problems. In this article, we review the experimental progress in the unusual Landau quantized behaviors of Dirac fermions in monolayer and multilayer graphene by using scanning tunneling microscopy (STM) and scanning tunneling spectroscopy (STS). Through STS measurement of the strong magnetic fields, distinct Landau-level spectra and rich level-splitting phenomena are observed in different graphene layers. These unique properties provide an effective method for identifying the number of layers, as well as the stacking orders, and investigating the fundamentally physical phenomena of graphene. Moreover, in the presence of a strain and charged defects, the Landau quantization of graphene can be significantly modified, leading to unusual spectroscopic and electronic properties. Keywords Landau quantization, graphene, STM/STS, stacking order, strain and defect PACS numbers Contents 1 Introduction ....................................................................................................................... 2 2 Landau quantization in graphene monolayer, Bernal bilayer, and Bernal trilayer ...........