Critical Strength for Ideal Incommensurate Structures

JUAN F. WEISZ; HORACIO M. PASTAWSKI

PHYSICS LETTERS A

Elsevier

Lugar: Amsterdam; Año: 1984 vol. 105 p. 421 - 424

0375-9601

A concise method is developed to show the following in one dimension: (a) If there is a sharp metal-inmhtor transition in an ideal sinusoidal incommensurate structure then W/V = 2. Co) There is an infinite dc conductivity of electrons in an ideal incommensurate structure for T = 0 if W/V < 2. (c) Addition of impurities which scatter between all pairs of k values may lead to a finite conductivity for W/V < 2. (It tends to zero as L -* =). The concept of duality used by Aubry is then extended to the general problem of localization and the breakdown of extended states is illustrated W/V = 2. Co) There is an infinite dc conductivity of electrons in an ideal incommensurate structure for T = 0 if W/V < 2. (c) Addition of impurities which scatter between all pairs of k values may lead to a finite conductivity for W/V < 2. (It tends to zero as L -* =). The concept of duality used by Aubry is then extended to the general problem of localization and the breakdown of extended states is illustrated