
| preface. 1. introduction 1.1 whole numbers in physics 1.2 quantum numbers due to symmetry and topological quantum numbers 1.3 topics covered in this book 1.4 order parameters and broken symmetry 1.5 homotopy classes 1.6 defects 2. quantization of electric ,charge 2.1 magnetic monopoles an(/electric charge 2.2 gauge invariance and the aharonov-bohm effect 3. circulation and vortices in superfiuid he 3.1 theory of bose superfiuids 3.2 vortex lines 3.3 detection of quantized circulation and vortices 3.4 the magnus force 4. superconductivity and flux quantization 4.1 superfiuids and superconductors 4.2 order parameter for superconductors 4.3 london's equation and flux quantization .4.4 types i and ii superconductors 4.5 ginzburg-landau theory 4.6 flux-line lattice 5. josephson effects 5.1 josephson junctions and squids.. 5.2 voltage-frequency relation 6. superfiuid she 6.1 the nature of the order parameter 6.2 vortices and circulation in superfiuid 3he 6.3 defects and textures 6.4 superfiuid she in thin films and narrow channels 7. the quantum hall effect 7.1 introduction 7.2 proportionality of current density and electric field 7.3 bloch's theorem and the laughlin argument 7.4 chern numbers 7.5 long range order in quantum hall systems 7.6 edge states in the integer quantum hall effect 7.7 fractional quantum hall effect 7.8 fractional quantization and degenerate ground states 7.9 topology of fractional quantum hall fluids 7.10 coupled quantum hall systems 8. solids and liquid crystals 8.1 dislocations in solids 8.2 order in liquid crystals 8.3 defects and textures 9. topological phase transitions 9.1 introduction 9.2 the vortex induced transition in superfiuid helium films 9.3 two-dimensional magnetic systems 9.4 topological order' in solids 9.5 superconducting films and layered materials 9.6 josephson junction arrays references... |
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