Non-Hermitian delocalization and eigenfunctions

Journal Article · Thu Oct 01 04:00:00 EDT 1998 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.58.8384· OSTI ID:659322

Hatano, N ^[1]; Nelson, D R ^[2]

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1. Theoretical Division, MS-B262, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
2. Lyman Laboratory of Physics, Harvard University, Cambridge, Massachusetts 02138 (United States)

Recent literature on delocalization in non-Hermitian systems has stressed criteria based on sensitivity of eigenvalues to boundary conditions and the existence of a nonzero current. We emphasize here that delocalization {ital also} shows up clearly in eigenfunctions, provided one studies the product of left and right eigenfunctions, as required on physical grounds, and {ital not} simply the squared modulii of the eigenfunctions themselves. We also discuss the right and left eigenfunctions of the ground state in the delocalized regime and suggest that the behavior of these functions, when considered separately, may be viewed as {open_quotes}intermediate{close_quotes} between localized and delocalized. {copyright} {ital 1998} {ital The American Physical Society}

• OSTI ID: 659322
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 13 Vol. 58; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
EIGENFUNCTIONS
EIGENVALUES
ELECTRONIC STRUCTURE
SOLIDS