We present a concise and systematic, review of the ergodicity issue in strongly correlated systems. After giving a brief historical overyiew, we analyze the issue within the Green's function formalism by means of the equations of motion approach. By means of this analysis, we are able to identify the primary source of non-ergodic dynamics for a generic operator as well as to give a recipe for computing unknown quantities characterizing such a behavior within the Composite Operator Method. Finally, we present examples of non-trivial strongly correlated systems where it is possible to find a non-ergodic behavior. © A.Avella, F.Mancini, E.Plekhanov.
Ergodicity in strongly correlated systems
AVELLA, Adolfo;MANCINI, Ferdinando;PLEKHANOV, Evgeny
2006-01-01
Abstract
We present a concise and systematic, review of the ergodicity issue in strongly correlated systems. After giving a brief historical overyiew, we analyze the issue within the Green's function formalism by means of the equations of motion approach. By means of this analysis, we are able to identify the primary source of non-ergodic dynamics for a generic operator as well as to give a recipe for computing unknown quantities characterizing such a behavior within the Composite Operator Method. Finally, we present examples of non-trivial strongly correlated systems where it is possible to find a non-ergodic behavior. © A.Avella, F.Mancini, E.Plekhanov.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
