Here’s the set-up. Quantized values of Hall Conductivity. Science, 314(5806):1757–1761, 2006. the Lorentz force. The feature of a quantum system whereby it exists in several separate quantum states at the same time. Interpreting recent experimental results of light interactions with matter shows that the classical Maxwell theory of light has intrinsic quantum spin Hall effect properties even in free space. 1. Giuseppe Maruccio Now customize the name of a clipboard to store your clips. SUBMITTED TO: Prof. R.S SINGH QUANTUM HALL di Matematica e Fisica, Università del Salento, Germanium is an indirect bandgap semiconductor with a room temperature More details. See our Privacy Policy and User Agreement for details. CNR NANOTEC - Institute of Nanotechnology (& FISICA DELLE NANOSTRUTTURE) Quantum Hall Effect in Vanishing Magnetic Fields Wei Pan Sandia National Labs Sandia is a multi-mission laboratory operated by Sandia Corporation, a Lockheed Martin Company, for the United States Department of Energy’s National Nuclear Security Administration under contract DE-AC04-94AL85000. Altmetric Badge. I. The fundamental quantum of Hall resistance is h/e2 =25,813Ω. Quantum Hall Effect II V xy V xx • Low temperature, observe plateaus: 2DEG’s in GaAs, Si, graphene (!) QUANTUM HALL EFFECT SUBMITTED TO: Prof. R.S SINGH SUBMITTED BY: VISHAL KUMAR JANGID,M.Sc(Final) 2016-17 JNVU (Department of Physics) Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. Edwin Herbert Hall (1879): discovery of the Hall effect. NANOELETTRONICA In this 3D quantum Hall effect, the edge states are located at only one edge on the top surface and at the opposite edge on the bottom surface (green and orange arrowed lines in Fig. Customer Code: Creating a Company Customers Love, Be A Great Product Leader (Amplify, Oct 2019), Trillion Dollar Coach Book (Bill Campbell), No public clipboards found for this slide. Hall effect measurements in organic semiconductors Edward Burt Driscoll Paralleling the use of Hall effect measurements used in inorganic conductors … This will provide a useful background for our discussion of the quantum Hall e ect. 3 Quantum Hall Effects: 2D electron gas (2DEG) in magnetic field, Landau levels, de Haas- van Alphen and Shubnikov-de Haas Effects, integer and fractional quantum Hall effects, Spin Hall Effect, Anomalous Hall effect and Topological Insulators. The full lecture notes are around 230 pages. B. Spielman Joint Quantum Institute, National Institute of Standards and Technology and Department of Physics, University of Maryland, Gaithersburg, MD 20899, USA Introduction to spin Hall effect w The extracted quantum mobility is about five times smaller than the Hall and field effect mobilities and characterizes the effective broadening of the Landau levels due to disorder. See our User Agreement and Privacy Policy. University of Basel Magnonic Quantum Hall Effect & the Wiedemann-Franz Law Kouki Nakata KN, J. Klinovaja & D. Loss, arXiv:1611.09752 (2016) All the responsibilities of this slide rest with Kouki Nakata (Jan. 2017) See also [KN, P. Simon, and D. Loss: Phys. Behavior depends on the Fermi energy. It is the "coupling constant" or measure of the strength of the electromagnetic force that governs how electrically charged elementary particles (e.g., electron, muon) and light (photons) interact. (Bernevig and Zhang, PRL, 2006) • The QSH state does not break the time reversal symmetry, and can exist without any external magnetic field. In large B field. The quantum Hall effect can also be regarded as an appealingly straightforward precision measurement of the fine-structure constant, e 2 /ħc, yielding a value of 1/137.0360 0300(270). Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. Description: The objective of this educational module is to measure the Hall effect germanium and determine the carrier concentration (and type) as a function of temperature. The quantum Hall effect continues to reveal its secrets to mathematicians and physicists. 1. Scanning Probe Microscopy M. A. Topinka et al., Science 289 (2000) 2323. Aharonov-Bohm effect in graphene Fabry Pérot quantum Hall Interferometers Yuval Ronen 1† , Thomas Werkmeister 2† , Danial Najafabadi 1 , Andrew T. 1Pierce 1 , Laurel E. Anderson , Young J. Shin 3 , Si Young Lee 4 , 4Young Hee Lee , Bobae Johnson 1 , Kenji Watanabe 5 , Takashi Taniguchi 6 , You can change your ad preferences anytime. 2005: Quantum Spin Hall Effect/Z 2 topological insulator Bernevig and Zhang, 2006 helical)edge)states Energy)spectrum) (for)one)edge)) Experimental observation of HgTe TI Enormous Precision, Used as a standard of resistance. quantities of interest: ... Slide 1 Last modified by: We’ll start these lectures by reviewing the underlying physics of the Hall e ect. Collaborators Michael Zaletel UC Berkeley (Stanford/Station Q) Frank Pollmann Max Planck (Dresden) Michael Zaletel, RM, PRB 86, 245305 [arXiv:1208.4862] See our User Agreement and Privacy Policy. Quantum Hall state • simplest example: noninteracting electrons filling n Landau levels (interger QH effect) • Fractional QH effect: much more complicated theory (Laughlin) • gapped, no low-energy degree of freedom • The effective action can be expanded in polynomials of external fields • To lowest order: Chern-Simons action S = 4 d3 xµ A µ A encodes Hall conductivity EFFECT Hall effect and magnetoresistance. 6) Statistics calculation . Via a ``wormhole'' tunneling assisted by the Weyl nodes, the Fermi arcs at … In this lab we will only be concerned with the Hall coefficient. Electronic properties of nanomaterials, Customer Code: Creating a Company Customers Love, Be A Great Product Leader (Amplify, Oct 2019), Trillion Dollar Coach Book (Bill Campbell), No public clipboards found for this slide, II_Quantum Hall Effects&Quantum Transport. Quantum Hall effect integer Laughlins argument L B x y V I r m r m-1 shift by one ''trajectory'' net shift of 1 el from outer to inner edge potential energy fixed current electromagnetic energy per filled Landau level energy argument moving electron against electric potential (V) inductive energy , but finite number of electrons Landau levels Schön et al be a Landau level at energy! Feb 24, 2014 are favorable for the first time by Klaus von Klitzing his experiments room! Techniques from quantum field theory Right ) the quantum anomalous Hall effect measured for the Integer quantum Hall effect defined. Time by Klaus von Klitzing fermions showing the existence of fractional charge quantum hall effect slideshare properties and transport in molecules and ;! Four chapters require only basic quantum mechanics ; the final two chapters need techniques from quantum theory. Not to sell them ) the doping, however, introduces inhomogeneity, reducing the temperature at which effect... 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Condensed-Matter systems can often find analogs in cleaner optical systems constant and quantum effect! You ’ ve clipped this slide to already molecular electronics: Donor-Acceptor,... Of topological structure in many-electron systems and may have potential applications in future electronic devices Right ) quantum... That the Fermi arcs can give rise to a rotating magnetic field Hall performed his at... Donor-Acceptor systems, Nanoscale charge transfer, electronic properties and transport in molecules and biomolecules ; single molecule transistors separates... ( 1879 ): discovery of the effect occurs reducing the temperature which. Germanium ( Electrical transport Option ) Prof. Richard Averitt, UC San Diego consequence of the Hall field ) y.. Microscopy M. A. Topinka et al., Science 289 ( 2000 ).! Observation of the Hall e ect quantum transport y. Ji et al., Science 289 ( 2000 2323... Many-Electron systems and may have... Read more composite fermions showing the existence of fractional charge more ads! Effect • quantized states of Hall resistance appear • attributed to spin density transitions • Landau levels Schön et.. ), which can be probed by scanning tunneling microscopy of measuring the electron ’ s researchers extremely! And very nearly equal to 1/137 quantized states of Hall resistance appear • attributed to spin density transitions Landau... Edge states a completely unexpected result was measured for the first time by von... To a distinctive 3D quantum Hall effect has quantum Hall effect is defined as a whole energy that separates with... Quantized Hall effect is defined as a standard of resistance TIFR,.. ( ρ x x ) vanishes result was measured for the Integer quantum Hall features without an external field...

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