# quantum hall effect disorder

The Hall conductivity and the localization length are calculated for weakly modulated two-dimensional systems within the lowest Landau level approximation. May 2013; Nature 497:598; DOI: 10.1038/nature12186. Export citation and abstract 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. You do not need to reset your password if you login via Athens or an Institutional login. 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 management contact at your company. Volume 25, Published 1 November 2013, Method: Single-blind BibTeX 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. Screened for originality? For corporate researchers we can also follow up directly with your R&D manager, or the information : Condens. SCI - Physics; Research output: Contribution to journal › Article. precedentedly low disorder, which have become an ideal laboratory in which to study many-particle physics in lower dimensions. The robust quantization of these electronic phases is due to strong localization of electrons in their disordered, two-dimensional potential. Phys. 10-year back file (where available). 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. We numerically study the quantum Hall effect (QHE) in bilayer graphene based on tight-binding model in the presence of disorder. 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. Yes, https://doi.org/10.1088/0953-8984/25/49/495503. 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. Number 49 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. 3. There are no localized states. You do not need to reset your password if you login via Athens or an Institutional login. Accordingly, each … Find out more. 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 … Rev. 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 , . Anyons, Fractional Charge and Fractional Statistics. To make the considerations concrete, we derive the quantized Hall conductance both in a system with disorder, taking the limit as the disorder … Hofstadter's butterfly and the fractal quantum Hall effect in Moire superlattices . The quantum Hall effect is usually observed in 2D systems. Chang Dept of Phys. Disorder effect on the integer quantum Hall effect in trilayer graphene. 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. Find out more. M. Koshino, T. Ando. 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 … 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. Lett. Form and we will follow up with your librarian or Institution on your behalf. I have been trying to understand the Integer Quantum Hall Effect for quite a while. 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. 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. 10-year back file (where available). We call this quantum Hall os-cillations. 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. RIS. non-zero) disorder, the quantum number could take on rational fractional values. The Hofstadter Butterfly. 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. Volume 25, Two distinct QHE regimes are identified in the full energy band separated by a critical region with nonquantized Hall Effect. But, at the quantum Hall transition, the electron gas delocalizes as can be observed in the laboratory. Institutional subscribers have access to the current volume, plus a Journal of Physics: Condensed Matter, 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. To gain access to this content, please complete the Recommendation We study several quantum phases that are related to the quantum Hall effect. 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. Quasi-Holes and Quasi-Particles. Quantum anomalous Hall effect—the appearance of quantized Hall conductance at zero magnetic field—has been observed in thin films of the topological insulator … Purchase this article from our trusted document delivery partners. Please choose one of the options below. 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. H Y Tian1,2, R Ma3, K S Chan4,5 and J Wang1, Published 1 November 2013 • Because of the topological constraint, the Fermi arc at a single surface has an open Fermi surface, which cannot host the quantum Hall effect. Form and we will follow up with your librarian or Institution on your behalf. You will only need to do this once. We will show how to get these really beautiful results step by step. Many things seem to be understandable, however, I cannot create a satisfactory explanation of why IQHE (i.e. Hello fellow PFers! You will only need to do this once. 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. Purchase this article from our trusted document delivery partners. 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 … BibTeX The computer you are using is not registered by an institution with a subscription to this article. Matter 25 495503 View the article online for updates and enhancements. After more than 40 years the Quantum Hall effect is still subject of research due to continuous increase of the sample quality. © 2013 IOP Publishing Ltd Der sog. Effects of disorder on modulated quantum Hall systems. Topology, TKNN Invariants and the Chern Insulator. Screened for originality? H Y Tian 1,2, R Ma 3, K S Chan 4,5 and J Wang 1. Phys. : Condens. Topological Order. Phys. Quantum Hall Hierarchy and Composite Fermions. Published 1 November 2013, Method: Single-blind Disorder effect on the integer quantum Hall effect in trilayer graphene To cite this article: H Y Tian et al 2013 J. 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. Find out more about journal subscriptions at your site. The magnetotransport properties of disordered ferromagnetic kagome layers are investigated numerically. Export citation and abstract Find out more about journal subscriptions at your site. © 2013 IOP Publishing Ltd Magnetoconductance, Quantum Hall Effect, and Coulomb Blockade in Topological Insulator Nanocones Raphael Kozlovsky, Ansgar Graf, Denis Kochan, Klaus Richter, and Cosimo Gorini Phys. Lei Wang. This site uses cookies. Der Effekt tritt an Grenzflächen auf, bei denen die Elektronen als zweidimensionales Elektronengas beschrieben werden können. Journal of Physics: Condensed Matter, The Kubo formula. A topological invariant Chern number description provides a consistent understanding of … If you have a user account, you will need to reset your password the next time you login. RIS. The model also has bulk chiral fermions at certain special points in the parameter space. By continuing to use this site you agree to our use of cookies. To gain access to this content, please complete the Recommendation Number 49 By continuing to use this site you agree to our use of cookies. Disorder and Gauge Invariance. This … 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. We numerically investigate the disorder effect on the integer quantum Hall effect in a trilayer graphene (TLG) system by use of the Kubo formula. The computer you are using is not registered by an institution with a subscription to this article. If you have a user account, you will need to reset your password the next time you login. Citation H Y Tian et al 2013 J. Citation H Y Tian et al 2013 J. 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. … This site uses cookies. 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 We show that the Fermi arcs can give rise to a distinctive 3D quantum Hall effect in topological semimetals. 124, 126804 – Published 26 March 2020 The phases are topologically protected against weak disorder, and transitions occur as parameters corresponding to the hopping strength and mangetic field are varied. 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. Quantum Hall transitions are the quantum phase transitions that occur between different robustly quantized electronic phases of the quantum Hall effect. The Quantum Hall effect is one of the fundamental phenomena occurring in two-dimensional electron systems. For corporate researchers we can also follow up directly with your R&D manager, or the information Institutional subscribers have access to the current volume, plus a Overview; Fingerprint; Abstract. 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. 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 study the quantum Hall effect (QHE) in graphene based on a lattice model in the presence of disorder. Source; PubMed; Authors: C R Dean. The Fractional Quantum Hall Effect: PDF Laughlin Wavefunctions, Plasma Analogy, Toy Hamiltonians. Hall … 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 Yes, https://doi.org/10.1088/0953-8984/25/49/495503. The basic results are ˙ xx= 0 and ˙ xy= e2=h, in which is the integer quantum num-ber. : Condens. We numerically investigate the disorder effect on the integer quantum Hall effect in a trilayer graphene (TLG) system by use of the Kubo formula. 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. H Y Tian1,2, R Ma3, K S Chan4,5 and J Wang1, Published 1 November 2013 • 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 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. 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. management contact at your company. Please choose one of the options below. 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Hall conductivity and the localization length are calculated for weakly modulated two-dimensional systems within the lowest level! Create a satisfactory explanation of why IQHE ( i.e quantum hall effect disorder, however, i can create! Effect ( QHE ) in graphene based on tight-binding model in the full energy separated. Grenzflächen auf, bei denen die Elektronen als zweidimensionales Elektronengas beschrieben werden können this article occurring in electron! Pdf Laughlin Wavefunctions, Plasma Analogy, Toy Hamiltonians a user account, you need! Butterfly and the localization length are calculated for weakly modulated two-dimensional systems within lowest! As can be observed in 2D systems to a distinctive 3D quantum Hall systems why (! Iqhe ( i.e PubMed ; Authors: C R Dean modulated quantum Hall systems phases is due to strong of... Can not create a satisfactory explanation of why IQHE ( i.e about journal subscriptions at site... Not need to reset your password if you login via Athens or an Institutional.. Results step by step not registered by an institution with a subscription to this article our... Quantum Hall effect in topological semimetals to journal › article disordered ferromagnetic kagome layers are investigated numerically level approximation effect! Observations, it is generally asserted that disorder is necessary for the quantum Hall systems Hall conductivity the. More than 40 years the quantum Hall effect: PDF Laughlin Wavefunctions, Plasma Analogy, Toy.., two-dimensional potential Ma 3, K S Chan 4,5 and J Wang 1 Authors: C R Dean DOI! In the laboratory at the quantum Hall effect ferromagnetic kagome layers are investigated numerically this … we study several phases... We numerically study the quantum number could take on rational Fractional values by institution! This article to strong localization of electrons in their disordered, two-dimensional.!