Dynamics Near Quantum Criticality in Two Space Dimensions
Seiten
2016
|
1. Softcover reprint of the original 1st ed. 2015
Springer International Publishing (Verlag)
978-3-319-37014-9 (ISBN)
Springer International Publishing (Verlag)
978-3-319-37014-9 (ISBN)
This work addresses dynamical aspects of quantum criticality in two space dimensions. It probes two energy scales: the amplitude (Higgs) mode, which describes fluctuations of the order parameter amplitude in the broken symmetry phase and the dual vortex superfluid stiffness. The results demonstrate that the amplitude mode can be probed arbitrarily close to criticality in the universal line shape of the scalar susceptibility and the optical conductivity. The hallmark of quantum criticality is the emergence of softening energy scales near the phase transition. In addition, the author employs the charge-vortex duality to show that the capacitance of the Mott insulator near the superfluid to insulator phase transition serves as a probe for the dual vortex superfluid stiffness. The numerical methods employed are described in detail, in particular a worm algorithm for O(N) relativistic models and methods for numerical analytic continuation of quantum Monte Carlo data. The predictions obtained are particularly relevant to recent experiments in cold atomic systems and disordered superconductors.
Introduction.- Dynamics and Conductivity Near Quantum Criticality.- Critical Conductivity and Charge Vortex Duality Near Quantum Criticality.- Summary and Outlook.
| Erscheinungsdatum | 21.10.2016 |
|---|---|
| Reihe/Serie | Springer Theses |
| Zusatzinfo | XV, 71 p. 32 illus., 8 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Atom- / Kern- / Molekularphysik |
| Naturwissenschaften ► Physik / Astronomie ► Festkörperphysik | |
| Schlagworte | atomic and molecular physics • Charge-vortex duality • Complex Systems • Condensed matter physics (liquid state and solid s • Dynamics and statics • Higgs mode in condensed matter • Numerical analytic continuation • Phase Transitions and Multiphase Systems • Physics • Physics and Astronomy • Quantum Criticality in Two Dimensions • Quantum gases and condensates • Quantum Monte Carlo Data • Quantum Physics • Quantum physics (quantum mechanics and quantum fie • Statistical Physics • Statistical Physics and Dynamical Systems • Vortex Condensate Stiffness • Worm Algorithm |
| ISBN-10 | 3-319-37014-6 / 3319370146 |
| ISBN-13 | 978-3-319-37014-9 / 9783319370149 |
| Zustand | Neuware |
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