Eur. Phys. J. B (2016) 89: 254
https://doi.org/10.1140/epjb/e2016-70473-y

Regular Article

Spectral statistics, finite-size scaling and multifractal analysis of quasiperiodic chain with p-wave pairing

¹ Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, P.R. China
² Collaborative Innovation Center of Quantum Matter, Beijing, P.R. China

^a e-mail: nawyucheng@163.com

Received: 9 August 2016
Received in final form: 12 September 2016
Published online: 24 November 2016

Abstract

We study the spectral and wavefunction properties of a one-dimensional incommensurate system with p-wave pairing and unveil that the system demonstrates a series of particular properties in its ciritical region. By studying the spectral statistics, we show that the bandwidth distribution and level spacing distribution in the critical region follow inverse power laws, which however break down in the extended and localized regions. By performing a finite-size scaling analysis, we can obtain some critical exponents of the system and find these exponents fulfilling a hyperscaling law in the whole critical region. We also carry out a multifractal analysis on system’s wavefuntions by using a box-counting method and unveil the wavefuntions displaying different behaviors in the critical, extended and localized regions.