Excited states in the adiabatic Holstein model

Journal of Physics A: Mathematical and General

Volumn 31, Issue 50, 1998, Pages 10065-10085

  Baesens, C ^a,b   MacKay, R S ^b  

^a UNIVERSITÉ DE BOURGOGNE   (France)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032545130     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/31/50/005     Document Type: Article

References (21)

1. Ahn T, MacKay R S and Sepulchre J-A 1998 Dynamics of Relative Phases of Multi-Breathers in preparation
2. Anosov DV 1988 Smooth dynamical systems Dynamical Systems I part II, ed D V Anosov and V I Arnol'd (Berlin: Springer)
3. Aubry S 1993 Bipolaronic charge density waves and polaronic spin density waves in the Holstein-Hubbard model Proc. ECRYS-93 (Carry-le-Rouet, France)
4. Aubry S 1997 Breathers in nonlinear lattices: existence, linear stability and quantization Physica D 103 201-50
5. Aubry S, Abramovici G and Raimbault J L 1992 Chaotic polaronic and bipolaronic states in the adiabatic Holstein model J. Stat. Phys. 67 675-780
6. Baesens C and MacKay R S 1994 Improved proof of existence of chaotic polaronic and bipolaronic states for the adiabatic Holstein model and generalisations Nonlinearity 7 59-84
7. Baesens C and MacKay R S 1996 Effect of temperature on polaronic and bipolaronic structures of the adiabatic Holstein model J. Stat. Phys. 85 471-88
8. Baesens C and MacKay R S 1997 Finite coherence length for equilibria of the adiabatic Holstein model J. Math. Phys. 38 2104-14
9. Bott R 1954 Non-degenerate critical manifolds Ann. Math. 60 249-61
10. Conley C 1978 Isolated invariant sets and the Morse index Conf. Board Math. Sci. 38 (Providence, RI: American Mathematical Society)
11. Fenichel N 1971 Persistence and smoothness of invariant manifolds for flows Indiana Univ. Math. J. 21 193-226
12. Floer A 1989 Witten's complex and infinite dimensional Morse theory J. Diff. Geom. 30 207-21
13. Greenberger M J and Harper JR 1981 Algebraic Topology (Reading, MA: Addison Wesley)
14. Holstein T 1959 Studies of polaron motion, part II. The 'small' polaron Ann. Phys. 8 343-89
15. MacKay R S 1996 Dynamics of networks: features that persist from the uncoupled limit Stochastic and Spatial Structures of Dynamical Systems ed S J van Strien and S M Verduyn Lunel (Amsterdam: North Holland) pp 81-104
16. Mather J 1973 Stratifications and Mappings Dynamical Systems ed M Peixoto (New York: Academic) pp 195-232
17. Nash C and Sen S 1983 Topology and Geometry for Physicists (New York: Academic)
18. Proville L 1998 Structures polaroniques et bipolaroniques dans le modèle de Holstein-Hubbard adiabatique à deux électrons et ses extentions PhD Thesis Orsay, France
19. Salamon D A 1990 Morse theory, the Conley index and Floer homology Bull. Lond. Math. Soc. 22 113-40
20. Schwartz J T 1969 Nonlinear Functional Analysis (New York: Gordon and Breach)
21. Thurston W P 1997 Three-Dimensional Geometry and Topology vol 1, ed S Levy (Princeton, NJ: Princeton University Press)