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The two-dimensional Wigner crystals are studied with the variational quantum Monte Carlo method. The close relationship between the ground-state wavefunction and the collective excitations in the system is illustrated, and used to guide the…

Condensed Matter · Physics 2009-10-28 Xuejun Zhu , Steven G. Louie

The pseudoperturbative shifted - $l$ expansion technique PSLET is employed to study the spectra of 2D H-donors in magnetic field. The Zeeman effect is investigated and results are found to be excellent compared to those in ref.[14].

Mathematical Physics · Physics 2007-05-23 Maen Odeh , Omar Mustafa

Entanglement of dipole-dipole interacting spins 1/2 is usually investigated when the energy of interaction with an external magnetic field (the Zeeman energy) is greater than the energy of dipole interactions by three orders. Under this…

Quantum Physics · Physics 2019-08-17 G. B. Furman , V. M. Meerovich , V. L. Sokolovsky

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…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Hyeong Rag Lee

Using the $\alpha$-T$_3$ model, we carried out analytical and numerical calculations for the static and dynamic polarization functions in the presence of a perpendicular magnetic field. These results were employed to determine the…

Mesoscale and Nanoscale Physics · Physics 2021-02-17 Antonios Balassis , Dipendra Dahal , Godfrey Gumbs , Andrii Iurov , Danhong Huang , Oleksiy Roslyak

We measure the chemical potential jump across the fractional gap in the low-temperature limit in the two-dimensional electron system of GaAs/AlGaAs single heterojunctions. In the fully spin-polarized regime, the gap for filling factor…

Strongly Correlated Electrons · Physics 2007-09-03 V. S. Khrapai , A. A. Shashkin , M. G. Trokina , V. T. Dolgopolov , V. Pellegrini , F. Beltram , G. Biasiol , L. Sorba

Using Single Electron Capacitance Spectroscopy, we study electron additions in quantum dots containing two potential minima separated by a shallow barrier. Analysis of addition spectra in magnetic field allows us to distinguish whether…

Mesoscale and Nanoscale Physics · Physics 2010-03-12 M. Brodsky , N. B. Zhitenev , R. C. Ashoori , L. N. Pfeiffer , K. W. West

We apply the diagram-technique formalism beyond the Hartree-Fock approximation to a two-dimensional nearly ideal electron gas in a weak perpendicular magnetic field. The case of an almost completely filled upper Landau level (filling factor…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Alexei Kolesnikov

We consider a classical system of n charged particles in an external confining potential, in any dimension d larger than 2. The particles interact via pairwise repulsive Coulomb forces and the coupling parameter scales like the inverse of n…

Mathematical Physics · Physics 2015-01-26 N. Rougerie , S. Serfaty

We show that a new interference effect appears in the intensity fluctuations of photons multiply scattered by an atomic gas of large optical depth b. This interference occurs only for scattering atoms that are Zeeman degenerate and it leads…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. Akkermans , O. Assaf

The analyticity of the lowest Landau level wave functions and the relation between filling factor and the total angular momentum severely limits the possible forms of trial wave functions of a disk of electrons subject to a strong…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. -R. Eric Yang , Min-Chul Cha , Jung Hoon Han

The large $N$ asymptotic expansion of the partition function for the normal matrix model is predicted to have special features inherited from its interpretation as a two-dimensional Coulomb gas. However for the latter, it is most natural to…

Probability · Mathematics 2025-06-18 Matthias Allard , Peter J. Forrester , Sampad Lahiry , Bojian Shen

Charge fluctuations of a large quantum dot coupled to a two-dimensional lead via a single-mode good Quantum Point Contact (QPC) and capacitively coupled to a back-gate, are investigated in the presence of a parallel magnetic field. The…

Strongly Correlated Electrons · Physics 2009-11-07 Karyn Le Hur

We experimentally investigate the effect of an electric field applied between a Leidenfrost droplet and the heated substrate on which it is levitating. We quantify the electro-Leidenfrost effect by imaging the interference fringes between…

Soft Condensed Matter · Physics 2012-05-17 Franck Celestini , G. Kirstetter

An effective Hamiltonian approach is used to study the effect of Landau-level mixing on the energy spectrum of electrons in a smooth but random magnetic field B(r) with a finite uniform component B_0. It is found that, as opposed to…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 M. C. Chang , M. F. Yang , T. M. Hong

The present study deals with the dynamics of a double emulsion confined in a microchannel under the presence of a uniform electric field. Towards investigating the non-trivial electrohydrodynamics of a compound droplet, confined in between…

Fluid Dynamics · Physics 2018-08-14 Somnath Santra , Sayan Das , Suman Chakraborty

Laughlin has found "exactly" the wave function which is ascribed to an excitation of fractional charge, such as e/3. We find that the exactness of the wave function is not destroyed by changing the charge to some other quantity such as the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Keshav N. Shrivastava

The non-linear zero-differential resistance state (ZDRS) that occurs for highly mobile two-dimensional electron systems in response to a dc bias in the presence of a strong magnetic field applied perpendicular to the electron plane is…

Other Condensed Matter · Physics 2009-11-13 N. Romero , S. Mchugh , M. P. Sarachik , S. A. Vitkalov , A. A. Bykov

Recently, there has been a revival of interest in mechanisms for changing the spin polarization of an electron beam on transmission through, or reflection from, a magnetic surface. An understanding of these mechanisms would allow the use of…

Condensed Matter · Physics 2016-08-31 D. C. Hatton , J. A. C. Bland

We consider the problem of three identical charged particles on a plane under a perpendicular magnetic field and interacting through Coulomb repulsion. This problem is treated within Taut's framework, in the limit of vanishing center of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. Ralko , T. T. Truong
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