endobj 445 0 obj <>/Filter/FlateDecode/ID[]/Index[437 21]/Info 436 0 R/Length 60/Prev 488389/Root 438 0 R/Size 458/Type/XRef/W[1 2 1]>>stream The quantum Hall effect is a set of phenomena observed at low temperature in a two-dimensional electron gas subject to a strong perpendicular magnetic field. 1 indicate the position of the integral quantum Hall effect (IQHE) (Von Klitzing, et al., 1980). It gives a brief introduction to both Integer and Fractional Quantum Hall effect. It is a simple consequence of the motion of charged particles in a magnetic eld. An introduction to the quantum Hall effect. These zeros are expected for a vanishing density of state of (mobile) electrons at the Fermi energy. The Nobel Prize in Physics 1998 was awarded jointly to Robert B. Laughlin, Horst L. Störmer and Daniel C. Tsui "for their discovery of a new form of quantum fluid with fractionally charged excitations". Landauer formula. These zeros are expected for a vanishing density of state of (mobile) electrons at the Fermi energy. [117,111,92,93] Together, these arguments constitute the first ex-ample of the bulk-edge correspondence with observable consequences, namely the distinctive signatures of both the integer and the fractional quantum Hall effect. The calculations for the Hall voltage UH for one fully occupied Landau level show, that the Hall resistance UH/I depends exclusively on the fundamental constant h/e2. I’ve included some footnotes with pointers to review articles and a handful of key papers. Thesis propositions. Disorder and quantum Hall effect I: PDF: Video: July 9: Andreev: Field-theoretic description of disordered metals II (see notes from Lecture I) Video Giamarchi: One dimensional disordered systems II (See notes for Lecture I) PDF: Video Chalker: Disorder and quantum Hall effect II. An introduction to statistical mechanics and thermodynamics, first year graduate students. Les Houches Lecture Notes, in: Topological Aspects of Low Dimensional Systems, ed. The notes are aimed at graduate students in any discipline where $\hbar=1$. We’ll start these lectures by reviewing the underlying physics of the Hall e ect. *Student notes by Victor Albert unless otherwise noted. HISTORY OF THE QUANTUM HALL EFFECT 9 function, where strong correlations prevent the simultaneous occupation of any site by two electrons. Altshuler-Aronov effect. Lecture 7: The integral quantum Hall e ect Lecturer: Anthony J. Leggett TA: Bill Coish References R. E. Prange, S. M. Girvin, The Quantum Hall E ect (2nd edition), Springer 1990 D. Yoshioka, The Quantum Hall E ect, Springer 2002 J. Jain, Composite Fermions, Cambridge University Press 2007 Introduction In a magnetic eld, a system of charged particles (e.g. first year graduate students. Generally speaking, the IQHE in graphene has the same underlying mechanism as that in the semiconductor 2DEG. 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