Cluster Extended Dynamical Mean Field Approach and Unconventional Superconductivity
arXiv:1409.1090 · doi:10.1103/PhysRevB.91.125127
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.
15 pages, 2 figures, Replaced with published version
References in corpus (17)
- Heavy Fermions and Quantum Phase Transitions
- Weak magnetism and non-Fermi liquids near heavy-fermion critical points
- Hidden Magnetism and Quantum Criticality in the Heavy Fermion Superconductor CeRhIn5
- Variational cluster approach to correlated electron systems in low dimensions
- Magnetically driven superconductivity in CeCu2Si2
- Multiple energy scales at a quantum critical point
- Strongly Correlated Superconductivity: a plaquette Dynamical mean field theory study
- Efficient DMFT-simulation of the Holstein-Hubbard Model
- Fermi-surface collapse and dynamical scaling near a quantum critical point
- T=0 heavy fermion quantum critical point as an orbital selective Mott transition
- An extended Hubbard model with ring exchange: a route to a non-Abelian topological phase
- Cellular Dynamical Mean Field Theory of the Periodic Anderson Model
- Spin-boson coupling in continuous-time quantum Monte Carlo
- Zero-Temperature Magnetic Transition in an Easy-Axis Kondo Lattice Model
- Magnetic quantum phase transition in an anisotropic Kondo lattice
- Convergence acceleration and stabilization for dynamical-mean-field-theory calculations
- Magnetic Quantum Phase Transitions in Kondo Lattices