RT Journal Article
T1 Algebraic approach to two-dimensional systems : shape phase transitions, monodromy, and thermodynamic quantities
A1 Pérez Bernal, Francisco
A1 Iachello, F.
AB We analyze shape phase transitions in two-dimensional algebraic models. We apply our analysis to linearto-bent transitions in molecules and point out what observables are particularly sensitive to the transition  orderparameters . We study numerically the scaling behavior of observables and confirm the dependence of theenergy gap for phase transitions of U n -SO n+1  type. We calculate energies of excited states and show theirunusual behavior for some values of the Hamiltonian control parameter. This behavior is due to the doublehumpednature of the potential and can be associated with the concept of monodromy. Finally, we computenumerically thermodynamic quantities, in particular heat capacities, and show their large variation at andaround the critical value of the control parameter.
PB American Physical Society
SN 1050-2947
SN 1094-1622 (electrónico)
YR 2008
FD 2008
LK http://hdl.handle.net/10272/8003
UL http://hdl.handle.net/10272/8003
LA eng
NO Pérez Bernal, F., Iachello, F.: "Algebraic approach to two-dimensional systems : shape phase transitions, monodromy, and thermodynamic quantities". Physical Review A. Vol. 77,  032115. ISSN 1050-2947
DS Repositorio Institucional de la Universidad de Huelva
RD 14 jul 2026