Cluster Extended Dynamical Mean Field Approach and Unconventional Superconductivity

Abstract

The extended dynamical mean field theory has played an important role in the study of quantum phase transitions in heavy fermion systems. In order to incorporate the physics of unconventional superconductivity, we develop a cluster version of the extended dynamical mean field theory. In this approach, we show how magnetic order and superconductivity develop as a result of inter-site spin exchange interactions, and analyze in some detail the form of correlation functions. We also discuss the methods that can be used to solve the dynamical equations associated with this approach. Finally, we consider different settings in which our approach can be applied, including the periodic Anderson model for heavy fermion systems.

arXiv comment15 pages, 2 figures, Replaced with published version

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Cited by in corpus (6)

• Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
• Correlation-driven multigap d-wave superconductivity in Anderson lattice model
• Superconductivity in twisted WSe${}_2$ from topology-induced quantum fluctuations
• Pairing Correlations Near a Kondo-Destruction Quantum Critical Point
• Spin-singlet and spin-triplet pairing correlations in antiferromagnetically coupled Kondo systems
• Critical local moment fluctuations and enhanced pairing correlations in a cluster Anderson model