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To understand the electronic shell- and supershell-structure in large metal clusters we have performed self-consistent calculations in the homogeneous, spherical jellium model for a variety of different materials. A scaling analysis of the…

Condensed Matter · Physics 2009-10-28 Erik Koch

The existence of macroscopic shell structure of submicron metal clusters is known for several decades. Since the most studies provide theoretical analysis for clusters of spherical shape, the electron density inhomogeneities caused by shell…

Atomic and Molecular Clusters · Physics 2025-01-16 S. E. Kuratov , I. S. Galtsov , S. A. Dyachkov , S. Yu. Igashov

Spin states of two-dimensional Wigner clusters are considered at low temperatures, when all electrons are in ground coordinate states. The spin subsystem behavior is determined by antiferromagnetic exchange integrals. The spin states in…

Mesoscale and Nanoscale Physics · Physics 2022-12-08 Mehrdad M. Mahmoodian , M. M. Mahmoodian , M. V. Entin

The existence of shell structure and the accompanying high degeneracy of electronic levels leads to the possibility of strong superconducting pairing in metallic nanoclusters with N~100-1000 delocalized electrons. The most favorable cases…

Superconductivity · Physics 2009-11-11 Vladimir Z. Kresin , Yurii N. Ovchinnikov

Metallic nanoclusters displaying electronic shell structure exhibit the special feature of a correlation between their geometry and the number of delocalized electrons . Their shape evolution can be described as a quantum oscillation…

Atomic and Molecular Clusters · Physics 2008-04-04 Vladimir Kresin

The quantum states of a system of particles in a finite spatial domain in general consist of a set of discrete energy eigenvalues; these are usually grouped into bunches of degenerate or close-lying levels, called shells. In fermionic…

Mesoscale and Nanoscale Physics · Physics 2022-09-21 A. I. Yanson , I. K. Yanson , J. M. van Ruitenbeek

A semiclassical approach for calculating shell effects, that has been used in atomic and plasma physics, is applied to describe the electronic supershells in metal clusters. Using the spherical jellium model we give the analytical…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. V. Shpatakovskaya

Shell structure in the single particle spectrum of deformed harmonic oscillator potentials when a term proportional to $(\vec L)^2$ is added is analyzed for a large particle number. A scaling law which gives a dividing line between regular…

Condensed Matter · Physics 2009-10-30 W. D. Heiss , R. G. Nazmitdinov

We study the magnetic susceptibility of an ensemble of non-interacting electrons confined by parabolic potentials and subjected to a perpendicular magnetic field at finite temperatures. We show that the behavior of the average…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. O. Terra , M. L. Tiago , M. A. M. de Aguiar

Molecular spin clusters are mesoscopic systems whose structural and physical features can be tailored at the synthetic level. Besides, their quantum behavior is directly accessible in laboratory and their magnetic properties can be…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 F. Troiani , V. Bellini , A. Candini , G. Lorusso , M. Affronte

We consider the magnetoelectric effect produced by a capacitor formed by two semispherical perfectly conducting plates subjected to a potential difference and surrounded by a spherical shell of a topologically insulating material. The…

Mesoscale and Nanoscale Physics · Physics 2020-07-21 Daniel G. Velázquez , L. F. Urrutia

An oscillatory pattern in the smoothed quantum spectrum, which is unique for single-particle motions in a reflection-asymmetric superdeformed oscillator potential, is investigated by means of the semiclassical theory of shell structure.…

Nuclear Theory · Physics 2017-02-01 Ken-ichiro Arita , Kenichi Matsuyanagi

The superconductivity of quasi-one-dimensional electrons in the magnetic field is studied. The system is described as the one-dimensional electrons with no frustration due to the magnetic field. The interaction is assumed to be attractive…

Condensed Matter · Physics 2009-10-28 Yasumasa Hasegawa , Mitake Miyazaki

In the recent experiments the unusual oscillatory magnetoresistance in superconductors was discovered with a periodicity essentially independent on magnetic field direction and even material parameters. The nearly universal period points to…

General Physics · Physics 2017-01-24 Boris I. Ivlev

We report measurements of the spin susceptibility in dilute two-dimensional electrons confined to a 45$\AA$ wide AlAs quantum well. The electrons in this well occupy an out-of-plane conduction-band valley, rendering a system similar to…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 K. Vakili , Y. P. Shkolnikov , E. Tutuc , E. P. De Poortere , M. Shayegan

Within the wave-packet semiclassical approach, the Bloch electron energy is derived to second order in the magnetic field and classified into gauge-invariant terms with clear physical meaning, yielding a fresh understanding of the complex…

Mesoscale and Nanoscale Physics · Physics 2015-04-08 Yang Gao , Shengyuan A. Yang , Qian Niu

Paircorrelations and the magnetic susceptibility of electrons in a spherical cavity are studied both for grand canonical and the canonical ensemble. The coupling constant of the $BCS$ Hamiltonian is adjusted to experimental values of the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 N. K. Kuzmenko , V. M. Mikhajlov , S. Frauendorf

Closed shell molecular structures are under normal conditions time-reversal invariant. Experimental evidences point, however, towards that this invariance may be locally violated when the structure is in contact with a particle reservoir.…

Mesoscale and Nanoscale Physics · Physics 2023-12-27 M. Shiranzaei , S. Kalhöfer , J. Fransson

It is argued that various kind of shell structure which occurs at specific values of the magnetic field should be observable in small quantum dots in the addition energies and the magnetic susceptibility.

Mesoscale and Nanoscale Physics · Physics 2008-02-03 W. D. Heiss , R. G. Nazmitdinov

Fundamental theories and models of many-body physics can be probed in experiments on ultracold atoms held in place by electromagnetic fields. In particular, of considerable interest are systems under curved confinement, since they can yield…

Quantum Gases · Physics 2026-03-06 Fabio Cinti , Matteo Ciardi , Santi Prestipino , Giuseppe Pellicane
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