| On the range of validity of a semiclassical relation between the critical exponents at the Anderson localization transition |
| Z. D. Zhang; N. H. March
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| 2011
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| 发表期刊 | Journal of Physics and Chemistry of Solids
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| ISSN | 0022-3697
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| 卷号 | 72期号:12页码:1529-1531 |
| 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. |
| 部门归属 | [zhang, z. d.] chinese acad sci, inst met res, shenyang natl lab mat sci, shenyang 110016, peoples r china. [zhang, z. d.] chinese acad sci, int ctr mat phys, shenyang 110016, peoples r china. [march, n. h.] dipc, san sebastian 20018, spain. [march, n. h.] univ antwerp, dept phys, b-2020 antwerp, belgium. [march, n. h.] univ oxford, oxford, england.;zhang, zd (reprint author), chinese acad sci, inst met res, shenyang natl lab mat sci, 72 wenhua rd, shenyang 110016, peoples r china;zdzhang@imr.ac.cn
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| 关键词 | Electronic Materials
Semiconductors
Critical Phenomena
Electrical
Conductivity
Phase Transitions
Disordered-systems
Magnetic-field
2 Dimensions
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| URL | 查看原文
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| WOS记录号 | WOS:000297394500025
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| 引用统计 |
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| 文献类型 | 期刊论文
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| 条目标识符 | http://ir.imr.ac.cn/handle/321006/30934
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| 专题 | 中国科学院金属研究所
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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.
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| 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.
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| 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.
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