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An effective Hamiltonian for the study of the quantum Hall effect is proposed. This Hamiltonian, which includes a ``current-current" interaction has the form of a Hamiltonian for a conformal field theory in the large $N$ limit. An order…

高能物理 - 理论 · 物理学 2015-06-26 G. Nagao

The quantum anomalous Hall effect is defined as a quantized Hall effect realized in a system without external magnetic field. Quantum anomalous Hall effect is a novel manifestation of topological structure in many-electron systems, and may…

介观与纳米尺度物理 · 物理学 2015-08-31 Chao-Xing Liu , Shou-Cheng Zhang , Xiao-Liang Qi

We show an analogy between static quantum emitters coupled to a single mode of a quantum field and accelerated Unruh-DeWitt detectors. We envision a way to simulate a variety of relativistic quantum field settings beyond the reach of…

量子物理 · 物理学 2012-02-22 M. del Rey , D. Porras , E. Martin-Martinez

We argue that a system of interacting D-branes, generalizing a recent proposal, can be modelled as a Quantum Hall fluid. We show that tachyon condensation in such a system is equivalent to one particle tunnelling. In a conformal field…

高能物理 - 理论 · 物理学 2009-11-07 L. Cappiello , G. Cristofano , G. Maiella , V. Marotta

We give a brief review of the Quantum Hall effect in higher dimensions and its relation to fuzzy spaces. For a quantum Hall system, the lowest Landau level dynamics is given by a one-dimensional matrix action. This can be used to write down…

高能物理 - 理论 · 物理学 2010-05-25 Dimitra Karabali

A theory of integer quantum Hall effect(QHE) in realistic systems based on von Neumann lattice is presented. We show that the momentum representation is quite useful and that the quantum Hall regime(QHR), which is defined by the propagator…

凝聚态物理 · 物理学 2009-10-28 K. Ishikawa , N. Maeda , K. Tadaki

We show that the quantum topological effect predicted by Aharonov and Casher (AC effect) [Phys. Rev. Lett. 53, 319 (1984)] may be used to create circulating states of magnetically trapped atomic Bose-Einstein condensates (BEC). A simple…

量子物理 · 物理学 2009-10-31 K. G. Petrosyan , L. You

We demonstrate experimentally that the transitions between adjacent integer quantum Hall (QH) states are equivalent to a QH-to-insulator transition occurring in the top Landau level, in the presence of an inert background of the other…

介观与纳米尺度物理 · 物理学 2009-10-28 D. Shahar , D. C. Tsui , M. Shayegan , E. Shimshoni , S. L. Sondhi

We theoretically investigate the mechanical effect of the light-induced dipole-dipole interaction potential on the atoms in a Bose-Einstein condensate. We present numerical calculations on the magnitude and shape of the induced potentials…

量子物理 · 物理学 2009-11-11 R. Löw , R. Gati , J. Stuhler , T. Pfau

Recent experiments seem to confirm predictions that interactions lead to charge density wave ground states in higher Landau levels. These new ``correlated'' ground states of the quantum Hall system manifest themselves for example in a…

介观与纳米尺度物理 · 物理学 2009-10-31 Felix von Oppen , Bertrand I. Halperin , Ady Stern

Quantum Hall (QH) states are predicted to display an intriguing non-dissipative stress response to a shear deformation rate, a phenomenon variously known as asymmetric or Hall viscosity, or Lorentz shear response. Just as the QH effect…

介观与纳米尺度物理 · 物理学 2013-12-10 Rudro R. Biswas

Ground-state properties of finite drops of alpha particles (Q-balls) are studied within a field-theoretical approach in the mean-field approximation. The strong interaction of alphas is described by the scalar field with a sextic…

核理论 · 物理学 2022-07-20 L. M. Satarov , I. N. Mishustin , H. Stoecker

The temperature and scale dependence of resistivities in the standard scaling theory of the integer quantum Hall effect is discussed. It is shown that recent experiments, claiming to observe a discrepancy with the global phase diagram of…

介观与纳米尺度物理 · 物理学 2009-10-31 Bodo Huckestein

A two-dimensional array of quantum dots in a magnetic field is considered. The electrons in the quantum dots are described as unitary random matrix ensembles. The strength of the magnetic field is such that there is half a flux quantum per…

凝聚态物理 · 物理学 2009-10-28 K. Ziegler

We consider interacting bosonic atoms in an optical lattice subject to a large simulated magnetic field. We develop a model similar to a bilayer fractional quantum Hall system valid near simple rational numbers of magnetic flux quanta per…

介观与纳米尺度物理 · 物理学 2012-01-30 R. N. Palmer , D. Jaksch

Quantum Hall physics is at the heart of research on both matter and artificial systems, such as cold atomic gases, with non-trivial topological order. We report on the observation of a chiral edge current by transferring atomic wavepackets…

We analyze the role of impurities in the fractional quantum Hall effect using a highly controllable system of ultracold atoms. We investigate the mechanism responsible for the formation of plateaux in the resistivity/conductivity as a…

Solving the quantum-mechanical many-body problem requires scalable computational approaches, which are rooted in a good understanding of the physics of correlated electronic systems. Interacting electrons in a magnetic field display a huge…

介观与纳米尺度物理 · 物理学 2013-07-01 Tobias Kramer

We consider the anisotropic effect in the quantum Hall systems by applying a confining potential that is not of parabolic type. This can be done by extending Susskind--Polychronakos's approach to involve the matrices of two coupled harmonic…

高能物理 - 理论 · 物理学 2007-05-23 Ahmed Jellal , Rudolf A. Roemer , Michael Schreiber

Single particle states in the atomic trap employing the rotating magnetic field are found using the full time-dependent instantaneous trapping potential. These states are compared with those of the effective time-averaged potential. We show…

atom-ph · 物理学 2008-02-03 A. B. Kuklov , N. Chencinski , A. M. Levine , W. M. Schreiber , Joseph L. Birman