On the range of validity of a semiclassical relation between the critical exponents at the Anderson localization transition
文献类型：期刊论文
| 作者 | Z. D. Zhang ; N. H. March |
| 刊名 | Journal of Physics and Chemistry of Solids
 |
| 出版日期 | 2011 |
| 卷号 | 72期号:12页码:1529-1531 |
| ISSN号 | 0022-3697 |
| 关键词 | Electronic materials Semiconductors Critical phenomena Electrical conductivity Phase transitions disordered-systems magnetic-field 2 dimensions |
| 中文摘要 | Using Wegner's result relating critical exponents s and v for conductivity and localization length, respectively, via dimensionality d and that for v given by Garcia-Garcia, we derive what we term a semiclassical (Sc) relation for v in terms of s, which is independent of dimensionality. Forming the ratio s/v versus d from the above relations, s/v = 0 at d = 2 is due to a singularity in the sc relation for v. We argue that, in reality, s/v = 0 results from s being zero at d = 2. Finally we conjecture that (i) Wegner's prediction s/v = 1 when d = 3 and (ii) v tends to 1/2 at large s, are both insensitive to interactions. (C) 2011 Elsevier Ltd. All rights reserved. |
| 原文出处 | |
| 公开日期 | 2012-04-13 |
| 源URL | [http://210.72.142.130/handle/321006/30934]  |
| 专题 | 金属研究所_中国科学院金属研究所 |
| 推荐引用方式 GB/T 7714 | Z. D. Zhang,N. H. March. On the range of validity of a semiclassical relation between the critical exponents at the Anderson localization transition[J]. Journal of Physics and Chemistry of Solids,2011,72(12):1529-1531. |
| APA | Z. D. Zhang,&N. H. March.(2011).On the range of validity of a semiclassical relation between the critical exponents at the Anderson localization transition.Journal of Physics and Chemistry of Solids,72(12),1529-1531. |
| MLA | Z. D. Zhang,et al."On the range of validity of a semiclassical relation between the critical exponents at the Anderson localization transition".Journal of Physics and Chemistry of Solids 72.12(2011):1529-1531. |
入库方式： OAI收割
来源：金属研究所
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