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The Chern-Simons axion coupling of a bulk insulator is only defined modulo a quantum of e^2/h. The quantized part of the coupling is uniquely defined for a bounded insulating sample, but it depends on the specific surface termination.…

材料科学 · 物理学 2017-03-01 Thomas Olsen , Maryam Taherinejad , David Vanderbilt , Ivo Souza

In this article it is studied, at variational level, a mathematical setup given by the Landau-Ginzburg Chern-Simons model for anyons in 2+1-dimensions within the framework of dimensional reduced Ue(1)xUg(1) extended electromagnetism with…

高能物理 - 理论 · 物理学 2012-01-31 P. Castelo Ferreira

The Hall-resistance curve of a two-dimensional electron system in the presence of a strong perpendicular magnetic field is an example of self-similarity. It reveals plateaus at low temperatures and has a fractal structure. We show that this…

介观与纳米尺度物理 · 物理学 2007-05-23 M. O. Goerbig , P. Lederer , C. Morais Smith

\noindent Using hydrodynamic collective field theory approach we show that one-particle density matrix of the $\nu=1/m$ fractional quantum Hall edge state interpolates between chiral Luttinger liquid behavior $\langle \psi^{\dagger}(r)…

高能物理 - 理论 · 物理学 2009-10-28 S. Iso , S. J. Rey

An exact spin mapping is identified to simplify the recently proposed hard-core boson description (Demler and Das Sarma, Phys. Rev. Lett., to be published) of the bilayer quantum Hall system at filling factor 2. The effective spin model…

介观与纳米尺度物理 · 物理学 2009-10-31 Kun Yang

Four-Fermi quantum field theories in (2+1) dimensions lie among the simplest models in high-energy physics, the understanding of which requires a non-perturbative lattice formulation addressing their strongly-coupled fixed points. These…

量子气体 · 物理学 2022-09-19 L. Ziegler , E. Tirrito , M. Lewenstein , S. Hands , A. Bermudez

Molecular dynamics simulations have been performed to investigate in detail collective modes spectra of two-dimensional Coulomb fluids in a wide range of coupling. The obtained dispersion relations are compared with theoretical approaches…

等离子体物理 · 物理学 2018-10-11 S. A. Khrapak , N. P. Kryuchkov , L. A. Mistryukova , A. G. Khrapak , S. O. Yurchenko

We discuss a model for the integer quantum Hall effect which is based on a Schroedinger-Chern-Simons-action functional for a non-interacting system of electrons in an electromagnetic field on a mutiply connected manifold. In this model the…

量子物理 · 物理学 2007-05-23 F. Ghaboussi

The universal perturbative invariants of rational homology spheres can be extracted from the Chern-Simons partition function by combining perturbative and nonperturbative results. We spell out the general procedure to compute these…

高能物理 - 理论 · 物理学 2009-11-07 Marcos Marino

Various applications of Chern-Simons theory in algebraic topology, in particular knot theory, condensed matter physics and cosmology are reviewed. Special attention is paid to appearances of Chern-Simons actions in the theory of the…

数学物理 · 物理学 2026-03-27 Jürg Fröhlich

We discuss a model of both classical and integer quantum Hall-effect which is based on a semi-classical Schroedinger-Chern-Simons-action, where the Ohm-equations result as equations of motion. The quantization of the classical…

量子物理 · 物理学 2007-05-23 F. Ghaboussi

We present a Chern-Simons matrix model describing the fractional quantum Hall effect on the two-sphere. We demonstrate the equivalence of our proposal to particular restrictions of the Calogero-Sutherland model, reproduce the quantum states…

高能物理 - 理论 · 物理学 2009-11-11 Bogdan Morariu , Alexios P. Polychronakos

Chern-Simons Theories with gauge super-groups appear naturally in string theory and they possess interesting applications in mathematics, e.g. for the construction of knot and link invariants. This paper is the first in a series where we…

高能物理 - 理论 · 物理学 2018-11-26 N. Aghaei , A. M. Gainutdinov , M. Pawelkiewicz , V. Schomerus

Electrons in a quantum Hall fluid can bind with an integer number of vortices to form composite fermions and composite bosons. We show that the quantum Hall bilayer at filling $\nu=\frac{1}{4}+\frac{3}{4}$ with interlayer separation $d$ can…

强关联电子 · 物理学 2026-03-20 Glenn Wagner , Dung X. Nguyen

Hartree-Fock theory has been justified as a mean-field approximation for fermionic systems. However, it suffers from some defects in predicting physical properties, making necessary a theory of quantum correlations. Recently, bosonization…

数学物理 · 物理学 2020-06-01 Niels Benedikter

We study the analytical structure of the fermion propagator in planar quantum electrodynamics coupled to a Chern-Simons term within a four-component spinor formalism. The dynamical generation of parity-preserving and parity-violating…

高能物理 - 唯象学 · 物理学 2010-12-23 Christoph P. Hofmann , Alfredo Raya , Saúl Sánchez Madrigal

The Chern-Simons theories on a noncommutative plane, which is shown to be describing the quantum Hall liquid, is considered. We introduce matter fields fundamentally coupled to the noncommutative Chern-Simons field. Exploiting BPS equations…

高能物理 - 理论 · 物理学 2019-08-17 Dongsu Bak , Sung Ku Kim , Kwang-Sup Soh , Jae Hyung Yee

We consider bilayer quantum Hall systems at total filling factor $\nu=1$ in presence of a bias voltage $\Delta_v$ which leads to different filling factors in each layer. We use auxiliary field functional integral approach to study…

介观与纳米尺度物理 · 物理学 2009-11-07 Yogesh N. Joglekar , Allan H. MacDonald

Motivated by the realization of Bose-Einstein condensates (BEC) in non-cubic lattices, in this work we study the phases and collective excitation of bosons with nearest neighbor interaction in a triangular lattice at finite temperature,…

量子气体 · 物理学 2020-11-26 M. Malakar , S. Ray , S. Sinha , D. Angom

The general procedure for obtaining explicit expressions for all cohomologies of N.Berkovits's operator is suggested. It is demonstrated that calculation of BV integral for the classical Chern-Simons-like theory (Witten's OSFT-like theory)…

高能物理 - 理论 · 物理学 2014-11-18 Dmitry Krotov , Andrei Losev , A. Gorodentsev