Journal
JOURNAL OF SOLID STATE CHEMISTRY
Volume 176, Issue 2, Pages 412-416Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/S0022-4596(03)00239-1
Keywords
flat band; Van Hove singularity; chemical bonding; tight binding; super-conductivity
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The origin of a flat band as defined in the flat band-steep band model for superconductivity has been studied. A local inversion center is derived mathematically as the necessary and sufficient condition for an occurrence of a flat band at an arbitrary point. From the (k) over right arrow -dependent part of E((k) over right arrowj), a pseudo-inversion center is demonstrated to be a sufficient condition based on the Patterson symmetry. The chemical bonding origin of a flat band is also studied analytically with a tight-binding approach. (C) 2003 Elsevier Inc. All rights reserved.
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