Exponential Decay of the lengths of Spectral Gaps for Extended Harper's Model with Liouvillean Frequency

Abstract

In this paper, we study the non-self dual extended Harper's model with Liouvillean frequency. By establishing quantitative reducibility results together with the averaging method, we prove that the lengths of spectral gaps decay exponentially.

A revised version with 1 figure

References in corpus (3)

• The absolutely continuous spectrum of the almost Mathieu operator
• Asymptotics of spectral gaps of quasi-periodic Schrödinger operators
• Hölder continuity of the integrated density of states for Extended Harper's Model with Liouville frequency

Cited by in corpus (1)

• Hölder continuity of the integrated density of states for Extended Harper's Model with Liouville frequency