國立虎尾科技大學 |

Dynamics Near Quantum Criticality in Two Space Dimensions

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Dynamics Near Quantum Criticality in Two Space Dimensions/ by Snir Gazit.
Author:	Gazit, Snir.
Description:	XV, 71 p. 32 illus., 8 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Phase transitions (Statistical physics). -
Online resource:	https://doi.org/10.1007/978-3-319-19354-0
ISBN:	9783319193540

Dynamics Near Quantum Criticality in Two Space Dimensions
Gazit, Snir.

Dynamics Near Quantum Criticality in Two Space Dimensions[electronic resource] /by Snir Gazit. - 1st ed. 2015. - XV, 71 p. 32 illus., 8 illus. in color.online resource. - Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5053. - Springer Theses, Recognizing Outstanding Ph.D. Research,.

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

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. .

ISBN: 9783319193540

Standard No.: 10.1007/978-3-319-19354-0doiSubjects--Topical Terms:

1254301
Phase transitions (Statistical physics).

LC Class. No.: QC173.45-173.458

Dewey Class. No.: 530.474

Dynamics Near Quantum Criticality in Two Space Dimensions
LDR:02720nam a22004095i 4500 001 966404
003 DE-He213
005 20200705032837.0
007 cr nn 008mamaa
008 201211s2015 gw | s |||| 0|eng d
020 $a 9783319193540 $9 978-3-319-19354-0
024 7 $a 10.1007/978-3-319-19354-0 $2 doi
035 $a 978-3-319-19354-0
050 4 $a QC173.45-173.458
072 7 $a PHFC $2 bicssc
072 7 $a SCI077000 $2 bisacsh
072 7 $a PHFC $2 thema
082 0 4 $a 530.474 $2 23
100 1 $a Gazit, Snir. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1262034
245 1 0 $a Dynamics Near Quantum Criticality in Two Space Dimensions $h [electronic resource] / $c by Snir Gazit.
250 $a 1st ed. 2015.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a XV, 71 p. 32 illus., 8 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Springer Theses, Recognizing Outstanding Ph.D. Research, $x 2190-5053
505 0 $a Introduction -- Dynamics and Conductivity Near Quantum Criticality.- Critical Conductivity and Charge Vortex Duality Near Quantum Criticality -- Summary and Outlook.
520 $a 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. .
650 0 $a Phase transitions (Statistical physics). $3 1254301
650 0 $a Phase transformations (Statistical physics). $3 684853
650 0 $a Condensed materials. $3 1254757
650 0 $a Quantum physics. $3 1179090
650 0 $a Statistical physics. $3 528048
650 0 $a Dynamical systems. $3 1249739
650 1 4 $a Phase Transitions and Multiphase Systems. $3 782552
650 2 4 $a Quantum Gases and Condensates. $3 783348
650 2 4 $a Quantum Physics. $3 671960
650 2 4 $a Complex Systems. $3 888664
650 2 4 $a Statistical Physics and Dynamical Systems. $3 1114011
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319193557
776 0 8 $i Printed edition: $z 9783319193533
776 0 8 $i Printed edition: $z 9783319370149
830 0 $a Springer Theses, Recognizing Outstanding Ph.D. Research, $x 2190-5053 $3 1253569
856 4 0 $u https://doi.org/10.1007/978-3-319-19354-0
912 $a ZDB-2-PHA
912 $a ZDB-2-SXP
950 $a Physics and Astronomy (SpringerNature-11651)
950 $a Physics and Astronomy (R0) (SpringerNature-43715)