Quantum Field Theory in Strongly Correlated Electronic SystemsIn this book the author extends the concepts previously introduced in his "Quantum Field Theory in Condensed Matter Physics" to situations in which the strong electronic correlations are crucial for the understanding of the observed phenomena. Starting from a model field theory to illustrate the basic ideas, more complex systems are analysed in turn. A special chapter is devoted to the description of antiferromagnets, doped Mott insulators and quantum Hall liquids from the point of view of gauge theory. This advanced text is written for graduate students and researchers working in related areas of physics. |
Contents
1 The OneDimensional Quantum Spin Chain | 1 |
12 The JordanWigner Transformation and the Quantum Kink | 7 |
13 The Bethe Ansatz and the Exact Solution | 11 |
2 Quantum Field Theory in 1+1 Dimensions | 23 |
22 Conformal Field Theory | 45 |
Effective Theory of Quantum Antiferromagnets | 63 |
3 Strongly Correlated Electronic Systems | 73 |
32 SpinCharge Separation in One Dimension | 82 |
42 Dynamical Mean Field Theory | 134 |
of Strongly Correlated Electronic Systems | 139 |
52 Gauge Theory of the Doped Mott Insulator | 142 |
53 Gauge Theory of Quantum Hall Liquids | 152 |
A Complex Functions | 159 |
AI Projection from the zPlane to the wPlane | 160 |
B The Variational Principle and the EnergyMomentum Tensor | 161 |
Literature | 165 |
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Quantum Field Theory in Strongly Correlated Electronic Systems Naoto Nagaosa No preview available - 2010 |
Common terms and phrases
Aeff anti-ferromagnetic arises becomes Berry phase boson commutation relation component composite fermions conclude conduction electrons consider constraint continuum limit correlated electronic systems correlation function corresponds coth deduce defined degree of freedom density described dimensions discussed effective action eigenvalue electron correlation energy equation excitation expressed f electron Fermi liquid Fermi surface fermions ferromagnetic follows gauge field Gauge Theory given Green function Hamiltonian Heisenberg model holon Hubbard model interaction introduced J₁ J₂ k₁ kink Kondo Lagrangian long-range order magnetic ordering mean field theory Mott insulator obtain one-dimensional operator owing particle path integral performed problem quantum critical Quantum Field Theory quantum fluctuations quantum spin right-hand side Sect sgn wn singlet so-called spectrum spin fluctuations spin wave spinons strongly correlated electronic term transformation wave number Xo(q zero temperature α,ίωι