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We analyze the behavior of a gas of classical particles moving in a two-dimensional "nuclear" billiard whose multipole-deformed walls undergo periodic shape oscillations. We demonstrate that a single particle Hamiltonian containing coupling…

Nuclear Theory · Physics 2009-09-25 M. Baldo , G. F. Burgio , A. Rapisarda , P. Schuck

This paper begins with a summary of a powerful formalism for the study of electronic states in condensed matter physics called "Gauge Theory of States/Phases of Matter." The chiral anomaly, which plays quite a prominent role in that…

Strongly Correlated Electrons · Physics 2023-04-12 Jürg Fröhlich

We report on the observation of strong backscattering of charge carriers in the quantum Hall regime of polycrystalline graphene grown by chemical vapor deposition, which alters the accuracy of the Hall resistance quantization. The…

Mesoscale and Nanoscale Physics · Physics 2014-10-07 F. Lafont , R. Ribeiro-Palau , Z. Han , A. Cresti , A. Delvallée , A. W. Cummings , S. Roche , V. Bouchiat , S. Ducourtieux , F. Schopfer , W. Poirier

The soliton structure of a gauge theory proposed to describe chiral excitations in the multi-Layer Fractional Quantum Hall Effect is investigated. A new type of derivative multi-component nonlinear Schr\"{o}dinger equation emerges as…

High Energy Physics - Theory · Physics 2007-05-23 Masato Hisakado

The general uncertainty principle applied to gravity can be implemented as a set of modified Poisson brackets in the canonical formalism. As such, the theory is not canonical and the resulting equations of motion do not lead to a covariant…

General Relativity and Quantum Cosmology · Physics 2026-05-08 Douglas M. Gingrich

We have performed an exact diagonalization study of up to N=12 interacting electrons on a disk at filling $\nu={1/3}$ for both Coulomb and $V_1$ short-range interaction for which Laughlin wave function is the exact solution. For Coulomb…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. V. Tsiper , V. J. Goldman

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…

High Energy Physics - Theory · Physics 2009-11-07 L. Cappiello , G. Cristofano , G. Maiella , V. Marotta

Chiral integer quantum Hall (QH) edge modes are immune to backscattering and therefore are non-localized and show a vanishing longitudinal as well as non-local resistance along with quantized 2-terminal and Hall resistance even in the…

Mesoscale and Nanoscale Physics · Physics 2020-03-24 Arjun Mani , Colin Benjamin

We investigate the phase space of a scalar field theory obtained by minisuperspace deformation. We consider quintessence or phantom scalar fields in the action which arise from minisuperspace deformation on the Einstein-Hilbert action. We…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Genly Leon , Alfredo D. Millano , Andronikos Paliathanasis

We derive the effective theories for quantum hall droplets with attractive interaction among the constituent particles. In the absence of confining potentials such droplets are defined by their freely moving interfaces (or boundaries) with…

Strongly Correlated Electrons · Physics 2022-12-26 Oguz Turker , Kun Yang

Motivated by the observation of the fractional quantum Hall effect in graphene, we consider the effective field theory of relativistic quantum Hall states. We find that, beside the Chern-Simons term, the effective action also contains a…

Mesoscale and Nanoscale Physics · Physics 2015-02-06 Siavash Golkar , Matthew M. Roberts , Dam Thanh Son

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 propose a unitary matrix Chern-Simons model representing fractional quantum Hall fluids of finite extent on the cylinder. A mapping between the states of the two systems is established. Standard properties of Laughlin theory, such as the…

High Energy Physics - Theory · Physics 2010-02-03 Alexios P. Polychronakos

Stacked two dimensional electron systems in transverse magnetic fields exhibit three dimensional fractional quantum Hall phases. We analyze the simplest such phases and find novel bulk properties, e.g., irrational braiding. These phases…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. D. Naud , Leonid P. Pryadko , S. L. Sondhi

We derive a microscopic theory of the composite fermions describing the low-lying edge excitations in the fractional quantum Hall liquid. Using the composite fermion transformation, one finds that the edge states of the $\nu=1/m$ system in…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Yue Yu , Wenjun Zheng , Zhongyuan Zhu

We make use of numerical exact diagonalization calculations to explore the physics of $\nu = 1/2$ bosonic fractional quantum Hall (FQH) droplets in the presence of experimentally realistic cylindrically symmetric hard-wall potentials. This…

Quantum Gases · Physics 2017-10-18 Elia Macaluso , Iacopo Carusotto

The capillary condensation for fluids into spherical nano-cavities is analyzed within the frame of two theoretical approaches. One description is based on a widely used simplified version of the droplet model formulated for studying atomic…

Soft Condensed Matter · Physics 2007-05-23 Ignacio Urrutia , Leszek Szybisz

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…

High Energy Physics - Theory · Physics 2007-05-23 Ahmed Jellal , Rudolf A. Roemer , Michael Schreiber

A theoretical scheme, based on a probabilistic generalization of the Hamilton's principle, is elaborated to obtain an unified description of more general dynamical behaviors determined both from a lagrangian function and by mechanisms not…

Quantum Physics · Physics 2009-09-28 Matteo Villani

Experiments on tunneling into fractional quantum Hall droplets systematically found tunneling exponents smaller than those predicted by the ordinary chiral Luttinger liquid theory. In this note, by considering the effects of a smooth…

Mesoscale and Nanoscale Physics · Physics 2007-06-06 D. C. Cabra , N. E. Grandi
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