Dynamics Near Quantum Criticality in Two Space Dimensions

Name: Dynamics Near Quantum Criticality in Two Space Dimensions
Brand: Springer International Publishing AG
SKU: 9783319370149
Price: 582.71 RON
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Autor: Snir Gazit

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Editura: Springer International Publishing AG

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This work addresses dynamical aspects of quantum criticality in two space dimensions. It probes two...

Informații despre carte

Autor

Snir Gazit

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2016

Pagini

EAN

9783319370149

ISBN

3319370146

Enbook ID

15194090

Editura

Springer International Publishing AG

Greutate

1474

Dimensiuni

155 x 235 x 5

Descriere completă

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.

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