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Jazaeri A, Satija II. Localization transition in incommensurate non-Hermitian systems. Phys Rev E Stat Nonlin Soft Matter Phys. 2001;63(3):036222doi: 10.1103/PhysRevE.63.036222.
Jazaeri, A., & Satija, I. I. (2001). Localization transition in incommensurate non-Hermitian systems. Physical review. E, Statistical, nonlinear, and soft matter physics, 63(3), 036222. https://doi.org/10.1103/PhysRevE.63.036222
Jazaeri, A, and Satija, I I. "Localization transition in incommensurate non-Hermitian systems." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 63,3 (2001): 036222. doi: https://doi.org/10.1103/PhysRevE.63.036222
Jazaeri A, Satija II. Localization transition in incommensurate non-Hermitian systems. Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Mar;63(3):036222. doi: 10.1103/PhysRevE.63.036222. Epub 2001 Feb 27. PMID: 11308756.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Mar;63(3):036222. doi: 10.1103/PhysRevE.63.036222. Epub 2001 Feb 27.

Localization transition in incommensurate non-Hermitian systems.

Physical review. E, Statistical, nonlinear, and soft matter physics

A Jazaeri, I I Satija

Affiliations

  1. Department of Physics and School of Computational Sciences, George Mason University, Fairfax, Virginia 22030, USA.

PMID: 11308756 DOI: 10.1103/PhysRevE.63.036222

Abstract

A class of one-dimensional lattice models with an incommensurate complex potential V(theta)=2[lambda(r) cos(theta)+i(lambda)(i) sin(theta)] is found to exhibit a localization transition at /lambda(r)/+/lambda(i)/=1. This transition from extended to localized states manifests itself in the behavior of the complex eigenspectum. In the extended phase, states with real eigenenergies have a finite measure, and this measure goes to zero in the localized phase. Furthermore, all extended states exhibit real spectra provided /lambda(r)/>or=/lambda(i)/. Another interesting feature of the system is the fact that the imaginary part of the spectrum is sensitive to the boundary conditions only at the onset to localization.

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