## Lectures on the Physics of Highly Correlated Electron Systems IX: Ninth Training Course in the Physics of Correlated Electron Systems and High-Tc SuperconductorsThis book contains lectures on strongly correlated electron systems presented by eminent physicists. These lectures are up-to-date summaries of relevant subjects in the field of condensed matter physics. Contributions include: BCS theory of nodal superconductors; strongly correlated particle systems and composite operator methods; diagonalization- and numerical renormalization-group-based methods for interacting quantum systems; as well as phenomenological aspects of unconventional superconductivity. |

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### Contents

Highly Correlated Particle Systems and Composite Operator Method | 45 |

Review of Theoretical Methods | 59 |

The PD Model in the Composite Operator Method | 72 |

Copyright | |

16 other sections not shown

### Common terms and phrases

angular antiferromagnetic approach approximation band basis BCS theory behavior bosonic boundary conditions calculated coexistence composite operator condensation energy conventional superconductor convergence Cooper pairs Correlated Electron Systems corresponding coupling cuprate d-wave density matrix dependence described dimension discussed DMRG algorithm dynamical effect eigenstates eigenvalues evolution exact diagonalization excitations Fermi surface fermionic ferromagnetic finite system gap equation gap function given Hamiltonian Hilbert space hopping Hubbard model impurity iterative diagonalization Kondo Lett limit Maeno magnetic field Maki matrix elements mean field method momentum nodal superconductors obtained one-dimensional orbital order parameter particle phase diagram phase transition phonon Phys Physics possible problem procedure properties quantum systems quasiparticle renormalization group scattering SCDFT specific heat spectrum spin fluctuations spin singlet spin susceptibility spin triplet step subsystem superblock superconducting phase superfluid symmetry system block temperature theory thermal conductivity thermodynamic transformation two-dimensional vortex wave function YBCO