Finite coherence length for equilibrium states of generalized adiabatic Holstein models

Journal of Mathematical Physics

Volumn 38, Issue 4, 1997, Pages 2104-2114

  Baesens, C ^a   MacKay, R S ^b  

^a UNIVERSITÉ DE BOURGOGNE   (France)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031475730     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532197     Document Type: Article

References (7)

1. T. Holstein, "Studies of polaron motion, part II. The "small" polaron," Ann. Phys. 8, 343-389 (1959).
2. S. Aubry, G. Abramovici, and J-L. Raimbault, "Chaotic polaronic and bipolaronic states in the adiabatic Holstein model," J. Stat. Phys. 67, 675-780 (1992).
3. R. S. MacKay and C. Baesens, "A new paradigm in Quantum chaos: Aubry's theory of equilibrium states for the adiabatic Holstein model," in Quantum Chaos, edited by G. Casati, I. Guarneri, and U. Smilansky (North-Holland, Amsterdam, 1993), pp. 51-75.
4. C. Baesens and R. S. MacKay, "Improved proof of existence of chaotic polaronic and bipolaronic states for the adiabatic Holstein model and generalizations," Nonlinearity 7, 59-84 (1994).
5. C. Baesens and R. S. MacKay, "Effect of temperature on polaronic and bipolaronic structures of the adiabatic Holstein model," J. Stat. Phys. 85, 471-488 (1996).
6. C. Baesens and R. S. MacKay, "Finite coherence length for invertible linear maps on networks with exponentially decaying interaction," submitted to Nonlinearity.
7. M. Reed and B. Simon, Functional Analysis (Academic, New York, 1980).