The Jahn-Teller effect in icosahedral symmetry: extension of Ham factors in strongly coupled systems

Cullerne, JP, Angelova Turkedjieva, Maia N and O'Brien, MCM 1995, The Jahn-Teller effect in icosahedral symmetry: extension of Ham factors in strongly coupled systems, Journal of physics: condensed matter, vol. 7, no. 17, pp. 3247-3269, doi: 10.1088/0953-8984/7/17/008.

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Title The Jahn-Teller effect in icosahedral symmetry: extension of Ham factors in strongly coupled systems
Author(s) Cullerne, JP
Angelova Turkedjieva, Maia NORCID iD for Angelova Turkedjieva, Maia N orcid.org/0000-0002-0931-0916
O'Brien, MCM
Journal name Journal of physics: condensed matter
Volume number 7
Issue number 17
Article ID 3247
Start page 3247
End page 3269
Total pages 23
Publisher IOP Publishing
Place of publication Bristol, Eng.
Publication date 1995
ISSN 0953-8984
Keyword(s) Ham factors
Jahn-Teller (JT) systems
vibronic ground state
science & technology
physical sciences
physics
Summary We extend the standard definition of reduction factors (Ham factors) in strongly coupled Jahn-Teller (JT) systems. Our aim is to cover linear JT systems in which the vibronic ground state at strong coupling is in close proximity in energy to low-lying excited states belonging to singlet and non-trivial irreducible representations of the JT centre. Such a structure of low-lying vibronic states is present in the linear JT systems of the icosahedral orbital quarter and quintet, G and H. We calculate all the standard reduction factors as well as extended matrix elements, for the icosahedral systems G(X)g, G(X)h and H(X)g. We calculate the matrix of Ham factors needed to handle the extra multiplicity of an H operator in an H state. A direct group-theoretical approach which explains the origins of various features of our analysis is included.
Language eng
DOI 10.1088/0953-8984/7/17/008
Field of Research 0204 Condensed Matter Physics
0912 Materials Engineering
1007 Nanotechnology
HERDC Research category C1.1 Refereed article in a scholarly journal
Copyright notice ©1995, IOP Publishing Ltd
Persistent URL http://hdl.handle.net/10536/DRO/DU:30116346

Document type: Journal Article
Collection: School of Information Technology
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