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The fractional quantum Hall effect (FQHE) realized in two-dimensional electron systems is explained by the emergent composite fermions (CF) out of ordinary electrons. It is possible to write down explicit wavefunctions explaining many if…

介观与纳米尺度物理 · 物理学 2025-01-31 Thierry Jolicoeur

We argue that a correlated fluid of electrons and holes can exhibit a fractional quantum Hall effect at zero magnetic field analogous to the Laughlin state at filling $1/m$. We introduce a variant of the Laughlin wavefunction for electrons…

强关联电子 · 物理学 2018-09-19 Yichen Hu , Jörn W. F. Venderbos , C. L. Kane

We investigate integer and fractional quantum Hall states in quantum point contacts (QPCs) of different geometries, defined in AlGaAs/GaAs heterostructures employing different doping and screening techniques. We find that, even in the…

介观与纳米尺度物理 · 物理学 2014-03-11 S. Baer , C. Rössler , E. C. de Wiljes , P. -L. Ardelt , T. Ihn , K. Ensslin , C. Reichl , W. Wegscheider

We demonstrate theoretically that the shot noise produced by a tunnel barrier in a two-channel conductor violates a Bell inequality. The non-locality is shown to originate from entangled electron-hole pairs created by tunneling events --…

介观与纳米尺度物理 · 物理学 2007-05-23 C. W. J. Beenakker , C. Emary , M. Kindermann , J. L. van Velsen

Using the appropriate fractionalization mechanism, we correctly derive the temperature (T) and interaction dependence of the electron lifetime $\tau_F$ in Luttinger liquids. For strong enough interactions, we report that $(T\tau_F)\propto…

介观与纳米尺度物理 · 物理学 2009-11-07 Karyn Le Hur

We propose a quantum approach to "electron-hole exchange", better named electron-hole pair exchange, that makes use of the second quantization formalism to describe the problem in terms of Bloch-state electron operators. This approach…

材料科学 · 物理学 2023-08-21 Monique Combescot , Thierry Amand , Shiue-Yuan Shiau

This paper reviews progress on the Fractional Quantum Hall Effect (FQHE) based on what we term hamiltonian theories, i.e., theories that proceed from the microscopic electronic hamiltonian to the final solution via a sequence of…

介观与纳米尺度物理 · 物理学 2007-05-23 Ganpathy Murthy , R. Shankar

Estimating many-body effects that deviate from an independent particle approach, has long been a key research interest in condensed matter physics. Layered cuprates are prototypical systems, where electron-electron interactions are found to…

A ring of capacitively coupled transmons threaded by a synthetic magnetic field is studied as a realization of a strongly interacting bosonic system. The synthetic flux is imparted through a specific Floquet modulation scheme based on a…

介观与纳米尺度物理 · 物理学 2025-10-28 Luca Chirolli , Juan Polo , Gianluigi Catelani , Luigi Amico

We undertake a theoretical study of edge spin-vortex excitations in fractional quantum Hall fluid. This is done in view of quantised Euler hydrodynamics theory. The dispersions of true excitations for fractions within $0\leq \nu \leq 1$ are…

介观与纳米尺度物理 · 物理学 2016-06-29 M. Rabiu , S. Y. Mensah , I. Y. Seini , S. S Abukari

We present an exact scheme of bosonization for anyons (including fermions) in the two-dimensional manifold of the quantum Hall fluid. This gives every fractional quantum Hall phase of the electrons one or more dual bosonic descriptions. For…

介观与纳米尺度物理 · 物理学 2021-09-22 Bo Yang

A fractional quantization in a two dimensional space is proposed. The angular momenta of the two dimensional electrons are quantized in fractional numbers by the boundary conditions on a multi-layered Riemann surface. Extended wave…

介观与纳米尺度物理 · 物理学 2007-05-23 Hyeong Rag Lee

Recently, it has been proposed that the turbulent fluctuations measured in a linear plasma device could be described as a superposition of uncorrelated Lorentzian pulses with a narrow distribution of durations, which would provide an…

等离子体物理 · 物理学 2012-09-11 B. Ph. van Milligen , R. Sánchez , C. Hidalgo

We have tested Haldane's ``fractional-Pauli-principle'' description of excitations around the $\nu = 1/3$ state in the FQHE, using exact results for small systems of electrons. We find that Haldane's prediction $\beta = \pm 1/m$ for…

凝聚态物理 · 物理学 2009-10-22 M. D. Johnson , G. S. Canright

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…

介观与纳米尺度物理 · 物理学 2007-06-06 D. C. Cabra , N. E. Grandi

By using observations from pump-probe stroboscopic confocal microscopy and spectroscopy, we demonstrate the dynamics of trions and the fractional quantum Hall edge on the order of $\sim1$ ps. The propagation of the quantum Hall edge state…

介观与纳米尺度物理 · 物理学 2022-12-13 Akinori Kamiyama , Masahiro Matsuura , John N. Moore , Takaaki Mano , Naokazu Shibata , Go Yusa

A natural, "perturbative", problem in the modelization of the fractional quantum Hall effect is to minimize a classical energy functional within a variational set based on Laughlin's wave-function. We prove that, for small enough pair…

数学物理 · 物理学 2020-06-24 Alessandro Olgiati , Nicolas Rougerie

The latest molecular data - potential energy curves and Rydberg-valence interactions - characterising the super-excited electronic states of BF are reviewed in order to provide the input for the study of their fragmentation dynamics.…

We analyze a recently proposed method to create fractional quantum Hall (FQH) states of atoms confined in optical lattices [A. S{\o}rensen {\it et al.}, Phys. Rev. Lett. {\bf 94} 086803 (2005)]. Extending the previous work, we investigate…

介观与纳米尺度物理 · 物理学 2007-12-17 Mohammad Hafezi , Anders S. Sorensen , Eugene Demler , Mikhail D. Lukin

The density-density correlation functions (most singular parts) of chiral Luttinger liquids forming the fractional quantum Hall effect (FQHE) edge are systematically derived in presence of a point-contact junction acting as a localised…

介观与纳米尺度物理 · 物理学 2024-08-29 Nikhil Danny Babu , Girish S. Setlur