scholarly journals Frequency dependent polarizability of small metallic grains

2011 ◽  
Vol 23 (24) ◽  
pp. 245302
Author(s):  
A A Zharov ◽  
I S Beloborodov
Keyword(s):  
Frequency Dependent ◽  
Metallic Grains ◽  
Small Metallic Grains

scholarly journals Superconducting correlations in ultra-small metallic grains

2000 ◽  
Vol 50 (3) ◽  
pp. 361-367 ◽  
Author(s):  
G.-S Tian ◽  
L.-H Tang ◽  
Q.-H Chen
Keyword(s):  
Metallic Grains ◽  
Superconducting Correlations ◽  
Small Metallic Grains

The heat capacity of small metallic grains studied by the random matrices theory

2004 ◽  
Vol 13 (9) ◽  
pp. 1549-1552 ◽  
Author(s):  
Chen Zhi-Qian ◽  
Cheng Nan-Pu ◽  
Shi Zhen-Gang
Keyword(s):  
Heat Capacity ◽  
Random Matrices ◽  
Metallic Grains ◽  
Small Metallic Grains

Statistical odd-even staggering in few fermions systems

2021 ◽  
pp. 2150092
Author(s):  
F. Pennini ◽  
A. Plastino ◽  
G. L. Ferri ◽  
M. C. Arizmendi
Keyword(s):  
Metal Clusters ◽  
Binding Energies ◽  
Fermion Systems ◽  
Statistical Complexity ◽  
Exactly Solvable ◽  
Jahn Teller ◽  
Jahn Teller Effect ◽  
Pairing Correlations ◽  
Metallic Grains ◽  
Small Metallic Grains

The odd-even staggering (OES) in nuclear binding energies is a well-known fact. A rather similar effect can be found in other finite fermion systems. For instance, ultra small metallic grains and metal clusters. The staggering in nuclei and grains is attributed primarily to pairing correlations. In clusters, it is originated by the Jahn–Teller effect [Phys. Rev. Lett. 81, 3599 (1998)]. Here, we work with a simple, Lipkin-like, exactly solvable two-level fermion model. A statistical mechanics’ treatment of it shows that OES effects also emerge here, as revealed by theoretical tools connected with the so-called statistical complexity.

Breakdown of Superconductivity in Small Metallic Grains

2000 ◽  
Vol 17 (10) ◽  
pp. 762-764 ◽  
Author(s):  
Chen Zhi-Qian ◽  
Zheng Ren-Rong
Keyword(s):  
Metallic Grains ◽  
Small Metallic Grains

Superconducting Correlations in Small Metallic Grains

2001 ◽  
Vol 36 (6) ◽  
pp. 705-714
Author(s):  
Wang Jing ◽  
Ji An-Chun ◽  
Tian Guang-Shan
Keyword(s):  
Metallic Grains ◽  
Superconducting Correlations ◽  
Small Metallic Grains

scholarly journals Spectral Explanation for Statistical Odd-Even Staggering in Few Fermions Systems

2021 ◽  
Vol 3 (1) ◽  
pp. 166-172 ◽  
Author(s):  
Angelo Plastino ◽  
Gustavo Luis Ferri ◽  
Angel Ricardo Plastino
Keyword(s):  
Metal Clusters ◽  
Binding Energies ◽  
Energy Spectra ◽  
Fermion Model ◽  
Nuclear Binding ◽  
Fermion Systems ◽  
Established Fact ◽  
Metallic Grains ◽  
Small Metallic Grains

Odd-even statistical staggering in a Lipkin-like few fermions model has been recently encountered. Of course, staggering in nuclear binding energies is a well established fact. Similar effects are detected in other finite fermion systems as well, as for example, ultra small metallic grains and metal clusters. We work in this effort with the above-mentioned Lipkin-like, two-level fermion model and show that statistical staggering effects can be detailedly explained by recourse to a straightforward analysis of the associated energy-spectra.

SUPERCONDUCTIVITY ENHANCEMENTS IN SMALL METALLIC GRAINS

2005 ◽  
Vol 19 (15n17) ◽  
pp. 2369-2374
Author(s):  
RENRONG ZHENG ◽  
ZHI QIAN CHEN ◽  
SHUN QUAN ZHU
Keyword(s):  
Mean Field Theory ◽  
Mean Field ◽  
Pairing Correlation ◽  
Gap Equation ◽  
Gaussian Unitary Ensemble ◽  
Level Statistics ◽  
Gaussian Orthogonal Ensemble ◽  
Metallic Grains ◽  
Unitary Ensemble ◽  
Small Metallic Grains

The reasons for superconductivity enhancement in small metallic grains including hundreds of thousand electrons are investigated by solving the generalized gap equation based on BCS mean field theory. The analysis suggests that the superconductivity enhancement in small metallic grains are the results caused by the pairing correlation and the level statistics in the Gaussian orthogonal ensemble (GOE) and the Gaussian unitary ensemble (GUE).

scholarly journals EXACT SOLUTION AT INTEGRABLE COUPLING OF A MODEL FOR THE JOSEPHSON EFFECT BETWEEN SMALL METALLIC GRAINS

2002 ◽  
Vol 16 (23) ◽  
pp. 3429-3438 ◽  
Author(s):  
JON LINKS ◽  
HUAN-QIANG ZHOU ◽  
ROSS H. MCKENZIE ◽  
MARK D. GOULD
Keyword(s):  
Josephson Effect ◽  
Form Factors ◽  
Cooper Pairs ◽  
Strongly Coupled ◽  
Conformal Field ◽  
Pair Tunneling ◽  
Scalar Products ◽  
Metallic Grains ◽  
Integrable Coupling ◽  
Small Metallic Grains

A model is introduced for two reduced BCS systems which are coupled through the transfer of Cooper pairs between the systems. The model may thus be used in the analysis of the Josephson effect arising from pair tunneling between two strongly coupled small metallic grains. At a particular coupling strength the model is integrable and explicit results are derived for the energy spectrum, conserved operators, integrals of motion, and wave function scalar products. It is also shown that form factors can be obtained for the calculation of correlation functions. Furthermore, a connection with perturbed conformal field theory is made.

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