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We develop a theory for the pseudorelativistic fractional quantum Hall effect in graphene, which is based on a multicomponent abelian Chern-Simons theory in the fermionic functional integral approach. Calculations are performed in the…

Mesoscale and Nanoscale Physics · Physics 2018-03-21 Christian Fräßdorf

We develop a general method to compute correlation functions of fractional quantum Hall (FQH) states on a curved space. In a curved space, local transformation properties of FQH states are examined through local geometric variations, which…

Strongly Correlated Electrons · Physics 2014-07-30 T. Can , M. Laskin , P. Wiegmann

We review the fermionic Chern-Simons field theory for the Fractional Quantum Hall Effect (FQHE). We show that in this field theoretic approach to the problem of interacting electrons moving in a plane in the presence of an external magnetic…

Mesoscale and Nanoscale Physics · Physics 2016-11-03 Ana Lopez , Eduardo Fradkin

We discuss the properties of Skyrmions in the Fractional Quantum Hall effect (FQHE). We begin with a brief description of the Chern-Simons-Landau-Ginzburg description of the FQHE, which provides the framework in which to understand a new…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Alex Travesset

We show that universal transport coefficients of the fractional quantum Hall effect (FQHE) can be understood as a response to variations of spatial geometry. Some transport properties are essentially governed by the gravitational anomaly.…

Strongly Correlated Electrons · Physics 2015-11-17 T. Can , M. Laskin , P. Wiegmann

An approach to understand Fractional Quantum Hall Effect (FQHE) using anomalies is studied in this paper. More specifically, this is done by looking at the anomaly in the current conservation equation of a WZNW theory describing fields…

High Energy Physics - Theory · Physics 2009-10-28 L. Chandar

We show the explicit connection between two distinct and complementary approaches to the fractional quantum Hall system (FQHS): the quantum wires formalism and the topological low-energy effective description given in terms of an Abelian…

Strongly Correlated Electrons · Physics 2019-06-05 Weslei B. Fontana , Pedro R. S. Gomes , Carlos A. Hernaski

We give a simple macroscopic phase-space explanation of fractional quantum Hall effect (FQHE), in a fashion reminiscent of the Landau-Ginsburg macroscopic symmetry breaking analyses. This is in contrast to the more complicated microscopic…

Mesoscale and Nanoscale Physics · Physics 2021-08-10 F. A Buot , G. Maglasang , A. R. F. Elnar , C. M. Galon

We calculate the electromagnetic response functions of a Fractional Quantum Hall system within the framework of the fermion Chern-Simons theory for the Fractional Hall Effect (FQHE) which we developed before. Our results are valid in a…

Condensed Matter · Physics 2009-10-22 Ana Lopez , Eduardo Fradkin

We propose a unifying model for FQHE which on the one hand connects it to recent developments in string theory and on the other hand leads to new predictions for the principal series of experimentally observed FQH systems with filling…

Mesoscale and Nanoscale Physics · Physics 2016-03-21 Cumrun Vafa

We use the field theory description of the fractional quantum Hall states to derive the universal response of these topological fluids to shear deformations and curvature of their background geometry, i.e. the Hall viscosity, the Wen-Zee…

Strongly Correlated Electrons · Physics 2014-10-01 Gil Young Cho , Yizhi You , Eduardo Fradkin

We generalize the fermion Chern-Simons theory for the Fractional Hall Effect (FQHE) which we developed before, to the case of bilayer systems. We study the complete dynamic response of these systems and predict the experimentally accessible…

Condensed Matter · Physics 2009-10-22 Ana Lopez , Eduardo Fradkin

The fractional quantum hall effect (FQHE) is a milestone of modern day physics, its disovery paved the way for the study of fractional charges which do not obey abelian physics. However, all FQHE require an external magnetic field in order…

Mesoscale and Nanoscale Physics · Physics 2023-03-07 Christopher Sims

It is shown, that a spectrum generating algebras and wave functions for the integral and fractional quantum Hall effect are related by the non-unitary similarity transformation. This transformation corresponds to the introduction of the…

High Energy Physics - Theory · Physics 2007-05-23 M. Eliashvili

In this thesis, I will present studies on the collective modes of the fractional quantum Hall states, which are bulk neutral excitations reflecting the incompressibility that defines the topological nature of these states. It was first…

Strongly Correlated Electrons · Physics 2013-12-11 Bo Yang

It is well known that the Fractional Quantum Hall Effect (FQHE) may be effectively represented by a Chern-Simons theory. In order to incorporate QH Skyrmions, we couple this theory to the topological spin current, and include the Hopf term.…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 S. Baez , A. P. Balachandran , A. Stern , A. Travesset

We consider quantum Hall states on a space with boundary, focusing on the aspects of the edge physics which are completely determined by the symmetries of the problem. There are four distinct terms of Chern-Simons type that appear in the…

Strongly Correlated Electrons · Physics 2016-03-30 Andrey Gromov , Kristan Jensen , Alexander G. Abanov

Unlike an earlier theory, by avoiding both the electromagnetic gauge field shift and the assumption of the zero average of electromagnetic field fluctuation the fermion Chern-Simons gauge theory is reformulated to obtain mean field…

Condensed Matter · Physics 2007-05-23 Tae-Hyoung Gimm , Sung-Ho Suck Salk

We present three holographic constructions of fractional quantum Hall effect (FQHE) via string theory. The first model studies edge states in FQHE using supersymmetric domain walls in N=6 Chern-Simons theory. We show that D4-branes wrapped…

High Energy Physics - Theory · Physics 2009-07-22 Mitsutoshi Fujita , Wei Li , Shinsei Ryu , Tadashi Takayanagi

We formulate the Kohn-Sham equations for the fractional quantum Hall effect by mapping the original electron problem into an auxiliary problem of composite fermions that experience a density dependent effective magnetic field.…

Strongly Correlated Electrons · Physics 2019-10-30 Yayun Hu , J. K. Jain
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