Export citation and abstract This site uses cookies. By continuing to use this site you agree to our use of cookies. You will only need to do this once. : Condens. 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. You will only need to do this once. We show that the Fermi arcs can give rise to a distinctive 3D quantum Hall effect in topological semimetals. The magnetotransport properties of disordered ferromagnetic kagome layers are investigated numerically. 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. If you have a user account, you will need to reset your password the next time you login. Disorder and Gauge Invariance. The Hall conductivity and the localization length are calculated for weakly modulated two-dimensional systems within the lowest Landau level approximation. 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. You do not need to reset your password if you login via Athens or an Institutional login. Screened for originality? After more than 40 years the Quantum Hall effect is still subject of research due to continuous increase of the sample quality. Lei Wang. 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 … 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. Disorder effect on the integer quantum Hall effect in trilayer graphene To cite this article: H Y Tian et al 2013 J. The computer you are using is not registered by an institution with a subscription to this article. 10-year back file (where available). There are no localized states. We study several quantum phases that are related to the quantum Hall effect. : Condens. © 2013 IOP Publishing Ltd 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. Many things seem to be understandable, however, I cannot create a satisfactory explanation of why IQHE (i.e. We will show how to get these really beautiful results step by step. 3. The phases are topologically protected against weak disorder, and transitions occur as parameters corresponding to the hopping strength and mangetic field are varied. Topological Order. Purchase this article from our trusted document delivery partners. 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. 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. … Published 1 November 2013 • 2013 IOP Publishing Ltd Journal of Physics: Condensed Matter, Volume 25, Number 49 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. 124, 126804 – Published 26 March 2020 Please choose one of the options below. Der sog. Published 1 November 2013, Method: Single-blind Published 1 November 2013, Method: Single-blind Accordingly, each … Der Effekt tritt an Grenzflächen auf, bei denen die Elektronen als zweidimensionales Elektronengas beschrieben werden können. Export citation and abstract Yes, https://doi.org/10.1088/0953-8984/25/49/495503. non-zero) disorder, the quantum number could take on rational fractional values. 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 Hofstadter's butterfly and the fractal quantum Hall effect in Moire superlattices . 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 … To make the considerations concrete, we derive the quantized Hall conductance both in a system with disorder, taking the limit as the disorder … RIS. Hello fellow PFers! Phys. Quantum Hall transitions are the quantum phase transitions that occur between different robustly quantized electronic phases of 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. Yes, https://doi.org/10.1088/0953-8984/25/49/495503. Find out more. For corporate researchers we can also follow up directly with your R&D manager, or the information 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. 10-year back file (where available). 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. You do not need to reset your password if you login via Athens or an Institutional login. 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. The computer you are using is not registered by an institution with a subscription to this article. 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 The Kubo formula. But, at the quantum Hall transition, the electron gas delocalizes as can be observed in the laboratory. A topological invariant Chern number description provides a consistent understanding of … 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 The robust quantization of these electronic phases is due to strong localization of electrons in their disordered, two-dimensional potential. We numerically study the quantum Hall effect (QHE) in bilayer graphene based on tight-binding model in the presence of disorder. H Y Tian1,2, R Ma3, K S Chan4,5 and J Wang1, Published 1 November 2013 • H Y Tian1,2, R Ma3, K S Chan4,5 and J Wang1, Published 1 November 2013 • 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. 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. Form and we will follow up with your librarian or Institution on your behalf. 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. Form and we will follow up with your librarian or Institution on your behalf. 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. Disorder effect on the integer quantum Hall effect in trilayer graphene. This … Combining these observations, it is generally asserted that disorder is necessary for the quantum Hall effect. Phys. M. Koshino, T. Ando. We numerically investigate the disorder effect on the integer quantum Hall effect in a trilayer graphene (TLG) system by use of the Kubo formula. 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. The model also has bulk chiral fermions at certain special points in the parameter space. Find out more. Citation H Y Tian et al 2013 J. I have been trying to understand the Integer Quantum Hall Effect for quite a while. Screened for originality? Purchase this article from our trusted document delivery partners. For corporate researchers we can also follow up directly with your R&D manager, or the information : Condens. H Y Tian 1,2, R Ma 3, K S Chan 4,5 and J Wang 1. 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. The quantum Hall effect is usually observed in 2D systems. SCI - Physics; Research output: Contribution to journal › Article. Journal of Physics: Condensed Matter, Magnetoconductance, Quantum Hall Effect, and Coulomb Blockade in Topological Insulator Nanocones Raphael Kozlovsky, Ansgar Graf, Denis Kochan, Klaus Richter, and Cosimo Gorini Phys. Electron gas delocalizes as can be observed in the presence of disorder weakly... As can be observed in the presence of disorder on modulated quantum transition! Asserted that disorder is necessary for the quantum Hall effect: PDF Laughlin Wavefunctions, Plasma Analogy, Hamiltonians... Observations, it is generally asserted that disorder is necessary for the quantum number take... Disorder effect on the integer quantum Hall effect: PDF Laughlin Wavefunctions Plasma! 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