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# quantum hall effect disorder

## quantum hall effect disorder

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

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