Utilization of renormalized mean-field theory upon novel quantum materials /
[Book]
Wei-Lin Tu.
Singapore :
Springer,
[2019]
1 online resource
Springer theses
Doctoral thesis accepted by National Taiwan University, Taipei, Taiwan & Université Toulouse III - Paul Sabatier, Toulouse, France.
Includes bibliographical references.
Intro; Supervisor's Foreword; Abstract; Parts of this thesis have been published in the following journal articles:; Acknowledgements; Contents; Abbreviations; 1 Introduction; 1.1 What is ``Physics''?; 1.1.1 A Brief Introduction of Its History; 1.1.2 The Grand Unification; 1.1.3 The Future of Physics; 1.2 High-Tc Copper Oxide Superconductivity; 1.2.1 The Density Waves; 1.2.2 The Pseudo-Gap Phase; 1.3 Correlated Electrons Under Strong Magnetic Field; References; 2 Renormalized Mean Field Theory; 2.1 BdG Equation of Mean-Field Hamiltonian; 2.2 Green's Function and LDOS
4.2 Uniform and Modulated Singlet Flux Phase4.3 Fully Polarized Electron Systems; 4.4 Topological Properties; References; 5 Conclusions and Outlooks; 5.1 Envisions for the High-Tc Problem; 5.2 The Next Era of Magnetism; References; A Exact Diagonalization; A.1 Model; A.2 Many-Body Chern Number; A.3 Results; B Induced Topological-Trivial Transition; References
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This book offers a new approach to the long-standing problem of high-Tc copper-oxide superconductors. It has been demonstrated that starting from a strongly correlated Hamiltonian, even within the mean-field regime, the "competing orders" revealed by experiments can be achieved using numerical calculations. In the introduction, readers will find a brief review of the high-Tc problem and the unique challenges it poses, as well as a comparatively simple numerical approach, the renormalized mean-field theory (RMFT), which provides rich results detailed in the following chapters. With an additional phase picked up by the original Hamiltonian, some behaviors of interactive fermions under an external magnetic field, which have since been experimentally observed using cold atom techniques, are also highlighted.