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2022-04-03
摘要翻译:
超导材料中的重电子是用近藤晶格t-J模型广泛研究的。数值结果表明,这些关联粒子的费米面随耦合度J的增大而变平。这种现象在标准费米-狄拉克统计量和非标准理论如任意子的分数排斥统计量和Tsallis非扩展统计量中很难从理论上理解。本文试图在不完全统计量(is)内解释重电子的分布,这种不完全统计量是针对具有相互作用的复杂系统而发展起来的,使得统计量不完全,使得sum_i,p_i^q=1。当与单位不同时,参数q表征了统计量的不完全性。结果表明,在Kondo模型下,关联电子可以用is描述,q与耦合常数J有关
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英文标题:
《Understanding heavy fermion from generalized statistics》
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作者:
Y. Kaupp (ISMANS), S. Liraki (ISMANS), D. Tayurskii (ISMANS), A.
  Useinovb (ISMANS), A. El Kaabouchi (ISMANS), L. Nivanen (ISMANS), B. Minisini
  (ISMANS), F. Tsobnang (ISMANS), A. Le M\'ehaut\'e (ISMANS), Q. A. Wang
  (ISMANS)
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最新提交年份:
2008
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分类信息:

一级分类:Physics        物理学
二级分类:Statistical Mechanics        统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
  Heavy electrons in superconducting materials are widely studied with the Kondo lattice t-J model. Numerical results have shown that the Fermi surface of these correlated particles undergoes a flattening effect according to the coupling degree J. This behaviour is not easy to understand from the theoretical point of view within standard Fermi-Dirac statistics and non-standard theories such as fractional exclusion statistics for anyons and Tsallis nonextensive statistics. The present work is an attempt to account for the heavy electron distribution within incomplete statistics (IS) which is developed for complex systems with interactions which make the statistics incomplete such that sum_i p_i^q=1. The parameter q, when different from unity, characterizes the incompleteness of the statistics. It is shown that the correlated electrons can be described with the help of IS with q related to the coupling constant J in the context of Kondo model
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PDF链接:
https://arxiv.org/pdf/802.1247
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