1.

Record Nr.

UNINA9910300429403321

Autore

Gazit Snir

Titolo

Dynamics Near Quantum Criticality in Two Space Dimensions / / by Snir Gazit

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015

ISBN

3-319-19354-6

Edizione

[1st ed. 2015.]

Descrizione fisica

1 online resource (82 p.)

Collana

Springer Theses, Recognizing Outstanding Ph.D. Research, , 2190-5053

Disciplina

530.474

Soggetti

Phase transitions (Statistical physics)

Phase transformations (Statistical physics)

Condensed materials

Quantum physics

Statistical physics

Dynamical systems

Phase Transitions and Multiphase Systems

Quantum Gases and Condensates

Quantum Physics

Complex Systems

Statistical Physics and Dynamical Systems

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

Introduction -- Dynamics and Conductivity Near Quantum Criticality.-  Critical Conductivity and Charge Vortex Duality Near Quantum Criticality -- Summary and Outlook.

Sommario/riassunto

 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 lineshape 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.  .