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We review recent experimental and theoretical work on superconductivity in ultrasmall metallic grains, i.e. grains sufficiently small that the conduction electron energy spectrum becomes discrete. The discrete excitation spectrum of an…

介观与纳米尺度物理 · 物理学 2017-09-27 Jan von Delft

For assemblies of superconductor nanograins, the magnetic response is analyzed as a function of both temperature and magnetic field. In order to describe the interaction energy of electron pairs for a huge number of many-particle states,…

超导电性 · 物理学 2009-11-10 V. N. Gladilin , V. M. Fomin , J. T. Devreese

We develop a theory of superconductivity in ultrasmall (nm-scale) metallic grains having a discrete electronic eigenspectrum with a mean level spacing of order of the bulk gap. The theory is based on calculating the eigenspectrum using a…

超导电性 · 物理学 2009-10-31 Fabian Braun , Jan von Delft

We review the effects of electron-electron interactions on the ground-state spin and the transport properties of ultra-small chaotic metallic grains. Our studies are based on an effective Hamiltonian that combines a superconducting BCS-like…

介观与纳米尺度物理 · 物理学 2015-05-13 S. Schmidt , Y. Alhassid

We use two truly canonical approaches to describe superconductivity in ultrasmall metallic grains: (a) a variational fixed-N projected BCS-like theory and (b) an exact solution of the model Hamiltonian developed by Richardson in context…

超导电性 · 物理学 2007-05-23 Fabian Braun , Jan von Delft

Small superconducting grains are discussed in the frameworks of both the reduced BCS Hamiltonian and the Universal Hamiltonian. It is shown that fluctuations of electrons in levels far from the Fermi energy dominate superconducting…

介观与纳米尺度物理 · 物理学 2008-06-12 Moshe Schechter

Superconducting condensation energy $U_0^{int}$ has been determined by integrating the electronic entropy in various iron pnictide/chalcogenide superconducting systems. It is found that $U_0^{int}\propto T_c^n$ with $n$ = 3 to 4, which is…

超导电性 · 物理学 2015-06-18 Jie Xing , Sheng Li , Bin Zeng , Gang Mu , Bing Shen , J. Schneeloch , R. D. Zhong , T. S. Liu , G. D. Gu , Hai-Hu Wen

We study the properties of ultrasmall metallic grains with sizes in the range of 20 up to 400 electrons. Using a particle-hole version of the DMRG method we compute condensation energies, spectroscopic gaps, pairing parameters and…

超导电性 · 物理学 2008-11-26 J. Dukelsky , G. Sierra

We present a truly canonical theory of superconductivity in ultrasmall metallic grains by variationally optimizing fixed-N projected BCS wave-functions, which yields the first full description of the entire crossover from the bulk BCS…

超导电性 · 物理学 2009-10-31 Fabian Braun , Jan von Delft

We investigate the breakdown of BCS superconductivity in {\em ultra}\/small metallic grains as a function of particle size (characterized by the mean spacing $d$ between discrete electronic eigenstates), and the parity ($P$ = even/odd) of…

凝聚态物理 · 物理学 2009-10-28 Jan von Delft , Dmitrii S. Golubev , Wolfgang Tichy , Andrei D. Zaikin

We study the thermodynamic properties of a small superconducting metallic grain using a quantum Monte Carlo method. The grain is described by the universal Hamiltonian, containing pairing and ferromagnetic exchange correlations. In…

介观与纳米尺度物理 · 物理学 2010-11-25 K. Van Houcke , Y. Alhassid , S. Schmidt , S. M. A. Rombouts

By means of the Lanczos method we analyze superconducting correlations in ultrasmall grains at fixed particle number. We compute the ground state properties and the excitation gap of the pairing Hamiltonian as a function of the level…

超导电性 · 物理学 2009-10-31 A. Mastellone , G. Falci , Rosario Fazio

We study finite size effects in superconducting metallic grains and determine the BCS order parameter and the low energy excitation spectrum in terms of size, and shape of the grain. Our approach combines the BCS self-consistency condition,…

We examine the destruction of superconducting pairing in metallic grains as their size is decreased for both even and odd numbers of electrons. This occurs when the average level spacing d is of the same order as the BCS order parameter.…

凝聚态物理 · 物理学 2009-10-28 Robert A. Smith , Vinay Ambegaokar

A nano-scale metallic grain (nanoparticle) with irregular boundaries in which the single-particle dynamics are chaotic is a zero-dimensional system described by the so-called universal Hamiltonian in the limit of a large number of…

介观与纳米尺度物理 · 物理学 2015-10-28 Y. Alhassid , K. N. Nesterov

Atomic nuclei and nano-scale metallic grains are in the crossover regime of pairing correlations between the bulk limit, where the Bardeen-Cooper-Schrieffer (BCS) theory of superconductivity is valid, and the fluctuation-dominated regime,…

核理论 · 物理学 2013-05-09 Y. Alhassid

Studies of pairing correlations in ultrasmall metallic grains have commonly been based on a simple reduced BCS-model describing the scattering of pairs of electrons between discrete energy levels that come in time-reversed pairs. This model…

强关联电子 · 物理学 2007-05-23 Jan von Delft , Fabian Braun

We study the superconductivity in small grains in the regime when the quantum level spacing $\delta\varepsilon$ is comparable to the gap $\Delta$. As $\delta\varepsilon$ is increased, the system crosses over from superconducting to normal…

介观与纳米尺度物理 · 物理学 2009-10-30 K. A. Matveev , A. I. Larkin

We consider the condensation energy in superconductors where the pairing is electronic in origin and is mediated by a collective bosonic mode. We use magnetically-mediated superconductivity as an example, and show that for large…

强关联电子 · 物理学 2009-11-07 Robert Haslinger , Andrey V. Chubukov

The Richardson exact solution for the reduced BCS Hamiltonian is applied to examine how sensitive are the pairing characteristics (condensation energy, spectroscopic gap, parity gap) to a specific configuration of single-electron energy…

超导电性 · 物理学 2009-11-07 V. N. Gladilin , V. M. Fomin , J. T. Devreese
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