METAL-INSULATOR-TRANSITION IN ONE-DIMENSIONAL QUASI-PERIODIC SYSTEMS

被引：13

作者：

BASU, C ^{[1
]}

MOOKERJEE, A ^{[1
]}

SEN, AK ^{[1
]}

THAKUR, PK ^{[1
]}

机构：

[1] SAHA INST NUCL PHYS,SECTOR 1,CALCUTTA 700064,INDIA

来源：

JOURNAL OF PHYSICS-CONDENSED MATTER | 1991年 / 3卷 / 32期

关键词：

D O I：

10.1088/0953-8984/3/32/011

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

We use the vector recursion method of Haydock to obtain the transmittance of a class of generalized Harper model in one dimension and to study the metal-insulator transition in this model. We also study the Argand map of the complex transmission coefficient which contains information about the phase change of the wavefunctions as they travel through the chain. This method of location of the metal-insulator transition is computationally easy and fast and does not require cumbersome formulae for calculating the localization length involving diagonalization of very large matrices, and assumptions of exponential localization. Moreover, we may use our methodology to analyse situations where we have non-exponential localization.

引用

页码：6041 / 6053

页数：13

共 17 条

[1] ABSENCE OF DIFFUSION IN CERTAIN RANDOM LATTICES [J].