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相关论文: Abelian Chern-Simons Theory for the Fractional Qua…

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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…

凝聚态物理 · 物理学 2007-05-23 Tae-Hyoung Gimm , Sung-Ho Suck Salk

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…

强关联电子 · 物理学 2019-06-05 Weslei B. Fontana , Pedro R. S. Gomes , Carlos A. Hernaski

We develop a Fermionic Chern-Simons (CS) theory for the fractional quantum Hall effect in monolayer graphene with SU(4) symmetry, arising from the spin and the valley degrees of freedom, which involves four distinct CS gauge fields. We…

强关联电子 · 物理学 2015-05-28 Sanhita Modak , Sudhansu S. Mandal , K. Sengupta

We derive the effective field theory from the microscopic Hamiltonian of interacting two-dimensional (pseudo) Dirac electrons by performing a statistic gauge transformation. The quantized Hall conductance are expected to be…

介观与纳米尺度物理 · 物理学 2011-09-02 Huabi Zeng

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…

介观与纳米尺度物理 · 物理学 2016-11-03 Ana Lopez , Eduardo Fradkin

We quantum mechanically analyze the fractional quantum Hall effect in graphene. This will be done by building the corresponding states in terms of a potential governing the interactions and discussing other issues. More precisely, we…

高能物理 - 理论 · 物理学 2011-04-28 Ahmed Jellal , Bellati Malika

We consider the geometric part of the effective action for Fractional Quantum Hall Effect (FQHE). It is shown that accounting for the framing anomaly of the quantum Chern-Simons theory is essential to the obtain correct gravitational linear…

强关联电子 · 物理学 2015-03-26 Andrey Gromov , Gil Young Cho , Yizhi You , Alexander G. Abanov , Eduardo Fradkin

Using a well known singular gauge transformation, certain fractional quantized Hall states can be modeled as integer quantized Hall states of transformed fermions interacting with a Chern-Simons field. In previous work we have calculated…

凝聚态物理 · 物理学 2009-10-22 Steven H. Simon , Bertrand I. Halperin

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…

凝聚态物理 · 物理学 2009-10-22 Ana Lopez , Eduardo Fradkin

In this paper we propose a model of the fractional quantum Hall effect within conventional one-dimensional bosonization. It is shown that in this formalism the resulting bosonized fermion operator corresponding to momenta of Landau gauge…

强关联电子 · 物理学 2012-11-09 Vladimir A. Zyuzin

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.…

强关联电子 · 物理学 2019-10-30 Yayun Hu , J. K. Jain

We introduce a supersymmetric Chern-Simons theory whose low energy physics is that of the fractional quantum Hall effect. The supersymmetry allows us to solve the theory analytically. We quantise the vortices and, by relating their dynamics…

高能物理 - 理论 · 物理学 2015-12-23 David Tong , Carl Turner

We propose a (4+1) dimensional Chern-Simons field theoretical description of the fractional quantum Hall effect. It suggests that composite fermions reside on a momentum manifold with a nonzero Chern number. Based on derivations from…

强关联电子 · 物理学 2017-05-23 Junren Shi

We study the transport of cold fermionic atoms trapped in optical lattices in the presence of artificial Abelian or non-Abelian gauge potentials. Such external potentials can be created in optical lattices in which atom tunneling is laser…

介观与纳米尺度物理 · 物理学 2007-12-17 N. Goldman , P. Gaspard

We consider the thermal Hall effect of fermionic matter coupled to emergent gauge fields in 2+1 dimensions. While the low-temperature thermal Hall conductivity of bulk topological phases can be connected to chiral edge states and a…

强关联电子 · 物理学 2020-05-20 Haoyu Guo , Rhine Samajdar , Mathias S. Scheurer , Subir Sachdev

We present a Chern-Simons theory of the fractional quantum Hall effect in which flux attachment is followed by a transformation that effectively attaches the correlation holes. We extract the correlated wavefunctions, compute the drift and…

介观与纳米尺度物理 · 物理学 2009-10-30 R. Shankar , Ganpathy Murthy

We investigate fractional quantum Hall effect at finite temperature using a fermion Chern-Simons field theoretical approach. In the absence of impurity scattering, the essential aspects of fractional quantum Hall effect, such as the…

凝聚态物理 · 物理学 2016-08-31 Lizeng Zhang

The electromagnetic characteristics of the fractional quantum Hall states are studied by formulating an effective vector-field theory that takes into account projection to the exact Landau levels from the beginning. The effective theory is…

介观与纳米尺度物理 · 物理学 2009-11-07 K. Shizuya

We provide details of a shorter letter and cond-mat/9702098 and some new results. We describe a Chern-Simons theory for the fractional quantum Hall states in which magnetoplasmon degrees of freedom enter. We derive correlated wavefunctions,…

介观与纳米尺度物理 · 物理学 2016-11-03 Ganpathy Murthy , R. Shankar

We propose a global model which accounts for all the observed quantum Hall states in terms of an abelian doublet of Chern-Simons gauge fields, with the strength of the Chern-Simons term given by a coupling matrix. The model is employed…

凝聚态物理 · 物理学 2008-02-03 Sudhansu S. Mandal , V. Ravishankar
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