The Fractional Quantum Hall Effect by T apash C hakraborty and P ekka P ietilainen review s the theory of these states and their ele-m entary excitations. Prominent cusps man- ifest near region of level clustering for μ 4 and μ 5 (ω c ∼0.001 a.u.). More × Article; References; Citing Articles (1,287) PDF Export Citation. In the cleanest samples, interactions among electrons lead to fractional quantum Hall (FQH) states. We show that model states of fractional quantum Hall fluids at all experimentally detected plateaus can be uniquely determined by imposing translational invariance with a particular scheme of Hilbert space truncation. Y1 - 2014/9/22. Yale University . scription of the (fractional) quantum Hall fluid and specifically of the Laughlin states. FQHF - Fractional Quantum Hall Fluid. Unlike the integer quantum Hall effect (IQHE) which can be explained by single-particle physics, FQHE exhibits many emergent properties that are due to the strong correlation among many electrons. The fractional factors present richer physics content than its integer cousin. Der Quanten-Hall-Effekt (kurz: QHE) 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. Atiny electrical currentis drivenalongthecentral sectionofthebar, while Rev. Columbia researchers first to discover a quantum fluid—fractional quantum Hall states, one of the most delicate phases of matter—in a monolayer 2D semiconductor; finding could provide a unique test platform for future applications in quantum computing To make such measurements a small "chip" ofthe layered semiconductorsample, typically a fewmillimeters onaside, is processedsothatthe region containing the 2-D electrons has a well-defined geometry. The fractional quantum Hall state is a collective phenomenon that comes about when researchers confine electrons to move in a thin two-dimensional plane, and subject them to large magnetic fields. The distinction arises from an integer or fractional factor connecting the number of formed quantised vortices to a magnetic flux number associated with the applied field. PY - 2014/9/22. AU - You, Yizhi. know about the fractional quantum Hall effect. First discovered in 1982, the fractional quantum Hall effect has been studied for more than 40 years, yet many fundamental questions still remain. Robert B. Laughlin, (born November 1, 1950, Visalia, California, U.S.), American physicist who, with Daniel C. Tsui and Horst Störmer, received the Nobel Prize for Physics in 1998 for the discovery that electrons in an extremely powerful magnetic field can form a quantum fluid in which “portions” of electrons can be identified. 51, 605 – Published 15 August 1983. • Described by variant of Laughlin wavefunction • Target for numerics on strongly interacting model systems Higher angular momentum band inversion Integer and fractional quantum Hall states are examples of quantum Hall fluids (QHFs). Columbia researchers first to discover a quantum fluid—fractional quantum Hall states, one of the most delicate phases of matter—in a monolayer 2D semiconductor; finding could provide a unique test platform for future applications in quantum computing The Fractional Quantum Hall Effect: Properties of an Incompressible Quantum Fluid (Springer Series in Solid-State Sciences, Band 85) | Tapash Chakraborty | ISBN: 9783642971037 | Kostenloser Versand für alle Bücher mit Versand und Verkauf duch Amazon. 1) Adiabatic transport . Lett. 2D Semiconductors Found to Be Close-To-Ideal Fractional Quantum Hall Platform. If such a system is then subjected to a superlattice potential, it is unclear whether the fragile FQH states will survive. This noncommutative Chern-Simons theory describes a spatially infinite quantum Hall … It is Fractional Quantum Hall Fluid. The frequently used "Hall bar" geometry is depicted in Fig. These include the braiding statistics NSF-DMR ESI, Vienna, August 20, 2014 . This model incorporates the FQHE relation between the vorticity and density of the fluid and exhibits the Hall viscosity and Hall conductivity found in FQHE liquids. By Oren Bergman, Yuji Okawa and John Brodie. 1. The truncation is based on classical local exclusion conditions, motivated by constraints on physical measurements. M uch is understood about the frac-tiona l quantum H all effect. We report localization of fractional quantum Hall (QH) quasiparticles on graphene antidots. BCS paired states . We show that a two-dimensional electron-hole fluid in a strong perpendicular magnetic field has a quantized Hall conductance equal to e 2 ν c /h at certain values of ν c , where ν c =ν e -ν h and ν e and ν h are the electron and hole filling factors. T1 - Geometry of fractional quantum Hall fluids. From this viewpoint, we note that a fractional quantum Hall fluid with filling factor having odd and even denominator can be studied in a unified way and the characteristic feature we observe with v = 1 /m, where m is an even integer, has its connection with the fact that the Berry phase may be removed in this case to the dynamical phase. Hall viscosity of quantum fluids . Der Effekt tritt an Grenzflächen auf, bei denen die Elektronen als zweidimensionales Elektronengas beschrieben werden können. It is Fractional Quantum Hall Fluid. This effect is known as the fractional quantum Hall effect. Outline: Definitions for viscosity and Hall viscosity . Fractional quantum Hall states . Using branes in massive type IIA string theory, and a novel decoupling limit, we provide an explicit correspondence between non-commutative Chern-Simons theory and the fractional quantum Hall fluid. The Stringy Quantum Hall Fluid Oren Bergman and Yuji Okawa California Institute of Technology, Pasadena CA 91125, USA and CIT/USC Center for Theoretical Physics Univ. By studying coherent tunneling through the localized QH edge modes on the antidot, we measured the QH quasiparticle charges to be approximately $\ifmmode\pm\else\textpm\fi{}e/3$ at fractional fillings of $\ensuremath{\nu}=\ifmmode\pm\else\textpm\fi{}1/3$. Under the influence of an external magnetic field, the energies of electrons in two-dimensional systems group into the so-called Landau levels. Nicholas Read . We present here a classical hydrodynamic model of a two-dimensional fluid which has many properties of the fractional quantum Hall effect (FQHE). A hump observed for μ 5 (ω c ∼0.001 a.u.) AU - Cho, Gil Young. of Southern California, Los Angeles CA bergman@theory.caltech.edu, okawa@theory.caltech.edu John Brodie Stanford Linear Accelerator Center Stanford University Stanford, CA 94305 brodie@SLAC.Stanford.edu Abstract: Using … Abstract Authors References. Those states are shown to be characterized by non-Abelian topological orders and are identified with some of the Jain states. Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States F. D. M. Haldane Phys. AU - Fradkin, Eduardo. The fractional quantum Hall effect (FQHE) is the archetype of the strongly correlated systems and the topologically ordered phases. Fractional quantum Hall states are topological quantum fluids observed in two-dimensional electron gases (2DEG) in strong magnetic fields. I review in this paper the reasoning leading to variational wavefunctions for ground state and quasiparticles in the 1/3 effect. In this paper, the key ideas of characterizing universality classes of dissipationfree (incompressible) quantum Hall fluids by mathematical objects called quantum Hall lattices are reviewed. 2) Kubo formulas --- stress-stress response . Using branes in massive type IIA string theory, and a novel decoupling limit, we provide an explicit correspondence between non-commutative Chern-Simons theory and the fractional quantum Hall fluid. The fractional quantum Hall fluid The fractional quantum Hall fluid Chapter: (p.411) 45 The fractional quantum Hall fluid Source: Quantum Field Theory for the Gifted Amateur Author(s): Tom Lancaster Stephen J. Blundell Publisher: Oxford University Press Many-Particle states ( Laughlin, 1983 ) are of an inherently quantum-mechanical nature topological orders are. August 20, 2014 like-charged electrons FQHE ) is the archetype of the Laughlin states ex-posed... 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