Global C*-Dynamics and Its KMS States of Weakly Inhomogeneous Bipolaronic Superconductors |
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Authors: | Thomas Gerisch Roland Münzner Alfred Rieckers |
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Institution: | (1) Institut für Theoretische Physik, Universität Tübingen, D-72076 Tübingen, Germany |
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Abstract: | We establish the limiting dynamics of a class of inhomogeneous bipolaronic models for superconductivity which incorporate deviations from the homogeneous models strong enough to require disjoint representations. The models are of the Hubbard type and the thermodynamics of their homogeneous part has been already elaborated by the authors. Now the dynamics of the systems is evaluated in terms of a generalized perturbation theory and leads to a C*-dynamical system over a classically extended algebra of observables. The classical part of the dynamical system, expressed by a set of 15 nonlinear differential equations, is observed to be independent from the perturbations. The KMS states of the C*-dynamical system are determined on the state space of the extended algebra of observables. The subsimplices of KMS states with unbroken symmetries are investigated and used to define the type of a phase. The KMS phase diagrams are worked out explicitly and compared with the thermodynamic phase structures obtained in the preceding works. |
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Keywords: | classically extended observable algebra inhomogeneous bipolaronic superconductors global C*-dynamics KMS states types of KMS states KMS phase diagrams physical phase diagrams |
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