Screened for originality? The Hofstadter Butterfly. Find out more about journal subscriptions at your site. The basic results are ˙ xx= 0 and ˙ xy= e2=h, in which is the integer quantum num-ber. Rev. After more than 40 years the Quantum Hall effect is still subject of research due to continuous increase of the sample quality. Number 49 Journal of Physics: Condensed Matter, The magnetotransport properties of disordered ferromagnetic kagome layers are investigated numerically. The Quantum Hall effect is one of the fundamental phenomena occurring in two-dimensional electron systems. 10-year back file (where available). Matter 25 495503 View the article online for updates and enhancements. The quantum Hall e ect (QHE) is one of the most remark-able condensed-matter phenomena discovered in the second half of the 20th century, and our talk is mainly about the integer quantum hall e ect. We numerically investigate the disorder effect on the integer quantum Hall effect in a trilayer graphene (TLG) system by use of the Kubo formula. To find out more, see our, Browse more than 100 science journal titles, Read the very best research published in IOP journals, Read open access proceedings from science conferences worldwide, Guangdong Technion Israel Institute of Technology, University of Basel/University of Freiburg, Shandong Institute of Advanced Technology, Assistant, Associate and Full Professorships. Purchase this article from our trusted document delivery partners. If you have a user account, you will need to reset your password the next time you login. If you have a user account, you will need to reset your password the next time you login. Source; PubMed; Authors: C R Dean. Published 1 November 2013, Method: Single-blind For a clean sample, both Bernal (ABA) and rhombohedral (ABC) stacked TLGs display the same quantum rule with abnormal quantized Hall plateaus σxy = νe2/h (ν =± 6, ± 10, ± 14,...) in the band center and normal quantized Hall plateaus at the band edges. There are no localized states. This site uses cookies. You will only need to do this once. Two distinct QHE regimes are identified in the full energy band separated by a critical region with nonquantized Hall Effect. Find out more about journal subscriptions at your site. Citation H Y Tian et al 2013 J. Yes, https://doi.org/10.1088/0953-8984/25/49/495503. This … M. Koshino, T. Ando. The longitudinal conductance minimums of the system corresponding to the Hall plateaus become narrower and thinner with disorder, and those of the ABC-stacked TLG are comparatively more stable than those of the ABA structure. Effects of disorder on modulated quantum Hall systems. The quantum Hall effect in graphene p − n junctions is studied numerically with emphasis on the effect of disorder at the interface of two adjacent regions. We numerically study the quantum Hall effect (QHE) in bilayer graphene based on tight-binding model in the presence of disorder. 3. Accordingly, each … Export citation and abstract Der Effekt tritt an Grenzflächen auf, bei denen die Elektronen als zweidimensionales Elektronengas beschrieben werden können. Form and we will follow up with your librarian or Institution on your behalf. In the presence of disorder, the Hall plateaus become obscure and the higher plateaus disappear first with the increase of the disorder; however, the Hall plateaus of the ABA-stacked TLG are destroyed more readily in comparison with the ABC-stacked one. Matter 25 495503, 1 Department of Physics, Southeast University, Nanjing 210096, People's Republic of China, 2 Department of Physics, Yancheng Institute of Technology, Jiangsu 224051, People's Republic of China, 3 School of Physics and Optoelectronic Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, People's Republic of China, 4 Department of Physics and Materials Science, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong, People's Republic of China, 5 Shenzhen Research Institute, City University of Hong Kong, Shenzhen, People's Republic of China, Received 29 August 2013 In particular for 2D electrons in a magnetic field the discoveries have been stunning: An abundance of new energy gaps exists where one ex-pected none. : Condens. The Kubo formula. To gain access to this content, please complete the Recommendation We show that the Fermi arcs can give rise to a distinctive 3D quantum Hall effect in topological semimetals. Please choose one of the options below. Many things seem to be understandable, however, I cannot create a satisfactory explanation of why IQHE (i.e. Disorder and Gauge Invariance. Der Quanten-Hall-Effekt äußert sich dadurch, dass bei tiefen Temperaturen und starken Magnetfeldern die senkrecht zu einem Strom auftretende Spannung nicht wie beim klassischen Hall-Effekt linear mit dem Magnetfeld anwächst, sondern in Stufen. non-zero) disorder, the quantum number could take on rational fractional values. You will only need to do this once. In a previous paper we showed that a substantial DOS between LL's can be obtained using nonperturba- tive methods for electrons interacting with disorder hav- This chapter yields an introduction to quantum Hall effects both for non-relativistic electrons in conventional two-dimensional electron gases (such as in semiconductor heterostructures) and relativistic electrons in graphene. Disorder effect on the integer quantum Hall effect in trilayer graphene. The integer quantum Hall effect (IQHE) is discovered experimentally by Kliziting in 1980 , in which the transverse Hall conductivity of a two-dimensional (2D) system of electrons is found to have plateaus in the presence of a strong perpendicular magnetic field , . I have been trying to understand the Integer Quantum Hall Effect for quite a while. management contact at your company. RIS. BibTeX The quantum Hall effect (or integer quantum Hall effect) is a quantized version of the Hall effect, observed in two-dimensional electron systems subjected to low temperatures and strong magnetic fields, in which the Hall resistance R xy exhibits steps that take on the quantized values at certain level You do not need to reset your password if you login via Athens or an Institutional login. H Y Tian 1,2, R Ma 3, K S Chan 4,5 and J Wang 1. Quantum Hall e ect in a strongly disordered system Dissertation zur Erlangung des akademischen Grades des Doktors der Naturwissenschaften an der Universit at Konstanz Fachbereich Physik vorgelegt von Markus Weiss Tag der m undlichen Pr ufung: 1.10.2004 Referent: Prof. Dr. … © 2013 IOP Publishing Ltd BibTeX Phys. Quantum Hall transitions are the quantum phase transitions that occur between different robustly quantized electronic phases of the quantum Hall effect. Find out more. Published 1 November 2013 • 2013 IOP Publishing Ltd Journal of Physics: Condensed Matter, Volume 25, Number 49 Lett. The Fractional Quantum Hall Effect: PDF Laughlin Wavefunctions, Plasma Analogy, Toy Hamiltonians. Quantum anomalous Hall effect—the appearance of quantized Hall conductance at zero magnetic field—has been observed in thin films of the topological insulator … Hofstadter's butterfly and the fractal quantum Hall effect in Moire superlattices . To find out more, see our, Browse more than 100 science journal titles, Read the very best research published in IOP journals, Read open access proceedings from science conferences worldwide, Guangdong Technion Israel Institute of Technology, University of Basel/University of Freiburg, Shandong Institute of Advanced Technology, Assistant, Associate and Full Professorships. Journal of Physics: Condensed Matter, The longitudinal conductance minimums of the system corresponding to the Hall plateaus become narrower and thinner with disorder, and those of the ABC-stacked TLG are comparatively more stable than those of the ABA structure. The findings indicate that the l = 3 chiral quasiparticles with cubic energy dispersion in ABC-stacked TLG have comparatively stronger immunity to the disorder than the l = 1 and 2 chiral quasiparticles in the ABA counterpart. The model also has bulk chiral fermions at certain special points in the parameter space. The exact one-electron eigenstates of the disordered system are shown to be current carrying, with exactly the same Hall current as in the absence of disorder. We study several quantum phases that are related to the quantum Hall effect. Instead, we show that the occurrence of a quasi-particle Wigner Crystal (QPWC) for sufficiently small $|\nu-\nu^\star|$ results in a quantized Hall plateau, even in the absence of disorder. The Hall conductivity and the localization length are calculated for weakly modulated two-dimensional systems within the lowest Landau level approximation. By continuing to use this site you agree to our use of cookies. RIS. Conductance plateaus are found to be attached to the intensity of the disorder and are accompanied by universal conductance fluctuations in the bipolar regime, which is in good agreement with theoretical predictions of the random matrix … DISORDER, SCREENING, AND QUANTUM HALL OSCILLATIONS 1043 broadening of the LL's caused by the impurities oscillates with oscillations in n (EF) as EF sweeps through the LL's whenB is increased. 2.2 Robustness of the Hall State 48 2.2.1 The Role of Disorder 48 2.2.2 The Role of Gauge Invariance 51 2.2.3 An Aside: The Kubo Formula 54 2.2.4 The Role of Topology 57 2.3 Particles on a Lattice 61 2.3.1 TKNN Invariants 61 2.3.2 The Chern Insulator 65 2.3.3 Particles on a Lattice in a Magnetic Field 67 { 1 {3. The robust quantization of these electronic phases is due to strong localization of electrons in their disordered, two-dimensional potential. This so-called fractional quantum Hall e ect (FQHE) is the result of quite di erent underlying physics involv-ing strong Coulomb interactions and correlations among the electrons. We numerically study the quantum Hall effect (QHE) in graphene based on a lattice model in the presence of disorder. To gain access to this content, please complete the Recommendation Published 1 November 2013, Method: Single-blind Matter 25 495503, 1 Department of Physics, Southeast University, Nanjing 210096, People's Republic of China, 2 Department of Physics, Yancheng Institute of Technology, Jiangsu 224051, People's Republic of China, 3 School of Physics and Optoelectronic Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, People's Republic of China, 4 Department of Physics and Materials Science, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong, People's Republic of China, 5 Shenzhen Research Institute, City University of Hong Kong, Shenzhen, People's Republic of China, Received 29 August 2013 Combining these observations, it is generally asserted that disorder is necessary for the quantum Hall effect. Integer Quantum Hall effect • basics • theories for the quantization • disorder in QHS • Berry phase in QHS • topology in QHS • effect of lattice • effect of spin and electron interaction M.C. Quasi-Holes and Quasi-Particles. Please choose one of the options below. Anyons, Fractional Charge and Fractional Statistics. Magnetoconductance, Quantum Hall Effect, and Coulomb Blockade in Topological Insulator Nanocones Raphael Kozlovsky, Ansgar Graf, Denis Kochan, Klaus Richter, and Cosimo Gorini Phys. To make the considerations concrete, we derive the quantized Hall conductance both in a system with disorder, taking the limit as the disorder … Citation H Y Tian et al 2013 J. PHYSICAL REVIEW B 81, 075115 共2010兲 Effect of disorder and electron-phonon interaction on interlayer tunneling current in quantum Hall bilayer O. G. C. Ros1 and D. K. K. Lee2 1 Instituto Pluridisìplinar, Universidad Complutense Paseo Juan XXIII, 1, 28040 Madrid, Spain 2 Blackett Laboratory, Imperial College London, Prince Consort Rd., London SW7 2AZ, United Kingdom 共Received 13 … Screened for originality? Lei Wang. We call this quantum Hall os-cillations. management contact at your company. Volume 25, 124, 126804 – Published 26 March 2020 Find out more. Our initial focus is on a pair of quantum Hall ferromagnets where the quantum Hall ordering oc- curs simultaneously with a spontaneous breaking of an internal symmetry associated with a semiconductor valley index. H Y Tian1,2, R Ma3, K S Chan4,5 and J Wang1, Published 1 November 2013 • You do not need to reset your password if you login via Athens or an Institutional login. Overview; Fingerprint; Abstract. Chang Dept of Phys. For corporate researchers we can also follow up directly with your R&D manager, or the information In the presence of disorder, the Hall plateaus become obscure and the higher plateaus disappear first with the increase of the disorder; however, the Hall plateaus of the ABA-stacked TLG are destroyed more readily in comparison with the ABC-stacked one. We present a Hartree–Fock study of the competition between disorder and interactions in quantum Hall ferromagnets near ν=1.We find that the ground state at ν=1 evolves with increasing interaction strength from a quasi-metallic paramagnet, to a partially spin-polarized ferromagnetic Anderson insulator, and to a fully spin-polarized ferromagnet with a charge gap. But, at the quantum Hall transition, the electron gas delocalizes as can be observed in the laboratory. © 2013 IOP Publishing Ltd The computer you are using is not registered by an institution with a subscription to this article. Hall … Topology, TKNN Invariants and the Chern Insulator. SCI - Physics; Research output: Contribution to journal › Article. Topological Order. H Y Tian1,2, R Ma3, K S Chan4,5 and J Wang1, Published 1 November 2013 • Volume 25, Abstract: The quantum Hall conductance of a disordered two-dimensional gas of non-interacting electrons is re-examined for its integrity against disorder in the limit of no mixing between different Landau levels. Quantum Hall Hierarchy and Composite Fermions. This site uses cookies. Form and we will follow up with your librarian or Institution on your behalf. Yes, https://doi.org/10.1088/0953-8984/25/49/495503. Der sog. : Condens. A topological invariant Chern number description provides a consistent understanding of … Because of the topological constraint, the Fermi arc at a single surface has an open Fermi surface, which cannot host the quantum Hall effect. For a clean sample, both Bernal (ABA) and rhombohedral (ABC) stacked TLGs display the same quantum rule with abnormal quantized Hall plateaus σxy = νe2/h (ν =± 6, ± 10, ± 14,...) in the band center and normal quantized Hall plateaus at the band edges. For corporate researchers we can also follow up directly with your R&D manager, or the information We show that a large domain-wall magnetoresistance or negative magnetoresistance can be realized in kagome layered materials (e.g., Fe 3 Sn 2, Co 3 Sn 2 S 2, and Mn 3 Sn), which show the quantum anomalous Hall effect.The kagome layers show a strong magnetic … Number 49 : Condens. We will show how to get these really beautiful results step by step. Export citation and abstract Two distinct QHE regimes are identified in the energy band with unconventional “half-integer” QHE appearing near the band center, in agreement with the experimental observation. The computer you are using is not registered by an institution with a subscription to this article. We numerically investigate the disorder effect on the integer quantum Hall effect in a trilayer graphene (TLG) system by use of the Kubo formula. May 2013; Nature 497:598; DOI: 10.1038/nature12186. By continuing to use this site you agree to our use of cookies. The quantum Hall conductance of a disordered two-dimensional gas of non-interacting electrons is re-examined for its integrity against disorder in the limit of no mixing between different Landau levels. Institutional subscribers have access to the current volume, plus a The quantum Hall effect is usually observed in 2D systems. The findings indicate that the l = 3 chiral quasiparticles with cubic energy dispersion in ABC-stacked TLG have comparatively stronger immunity to the disorder than the l = 1 and 2 chiral quasiparticles in the ABA counterpart. Phys. Purchase this article from our trusted document delivery partners. 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