Published February 1, 1988 | Version v1
Journal article

Quasiperiodicity and long-range order in a magnetic system

  • 1. Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545

Description

We study the 1D quasiperiodic quantum Ising model in a transverse field, which exhibits long-range order above a critical coupling and describes the phase diagram of the 2D classical Ising-model quasiperiodic in one direction. We numerically determine the correlation length, magnetization, and energy spectrum of this system. The site dependency of the magnetization is described by a new order parameter, the width of the magnetization. The scalings δ and f(α) associated with the Cantor spectrum are found to exhibit special features at the onset of long-range order

Additional details

Publishing Information

Journal Title
Phys. Rev. Lett.
Journal Volume
60
Journal Issue
5
Series
Phys. Rev. Lett.
Journal Page Range
444-447
ISSN
0031-9007
CODEN
PRLTA