By Snir Gazit
This paintings addresses dynamical elements of quantum criticality in area dimensions. It probes strength scales: the amplitude (Higgs) mode, which describes fluctuations of the order parameter amplitude within the damaged symmetry part and the twin vortex superfluid stiffness. the consequences display that the amplitude mode will be probed arbitrarily as regards to criticality within the common line form of the scalar susceptibility and the optical conductivity. The hallmark of quantum criticality is the emergence of softening strength scales close to the section transition. additionally, the writer employs the charge-vortex duality to teach that the capacitance of the Mott insulator close to the superfluid to insulator part transition serves as a explore for the twin vortex superfluid stiffness. The numerical equipment hired are defined intimately, particularly a bug set of rules for O(N) relativistic types and techniques for numerical analytic continuation of quantum Monte Carlo facts. The predictions bought are fairly appropriate to contemporary experiments in chilly atomic structures and disordered superconductors.
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Additional info for Dynamics Near Quantum Criticality in Two Space Dimensions
The ω axis is then rescaled by and the vertical axis is rescaled by 3−2/ν . 4b, c shows the scaling procedure for N = 2, 3. The curves collapse into two universal functions ± (iωm ). To test the universality of our results we repeated the scaling analysis at a different crossing point of the phase transition for the N = 2 case. The results are presented in Fig. 4b. 5 Scalar Susceptibility 23 Fig. 5. 5. Error bars are smaller than the symbols (a) (b) (c) Fig. 4 a The scalar susceptibility χs (iωm ) for N = 2.
R. Thomas, Condensed monopoles and abelian confinement. Phys. Rev. Lett. 41(6), 351–353 (1978). 351. 351 20. P. A. Freire, Dynamical vortices in super uid films. Phys. Rev. B 55(2), 1068–1080 (1997). 1068. 1068 21. D. , E ect of Coulomb interactions on the disorder-driven superconductorinsulator transition. Phys. Rev. B 89(3), 035149 (2014). 035149. 035149 22. J. , Vanishing of phase coherence in underdoped Bi2Sr2CaCu2O8+. En. Nature 398(6724), 221–223 (1999). issn: 0028–0836. 1038/18402.
A. Ran çon, N. Dupuis, Higgs amplitude mode in the vicinity of a (2 + 1)- dimensional quantum critical point. Phys. Rev. B 89(18), 180501 (2014). 180501. 180501 22. K. , Universal properties of the higgs resonance in (2 + 1)-dimensional U(1) critical systems. Phys. Rev. Lett. 110(17), 170403 (2013). 170403. 170403 23. L. Pollet, N. Prokof’ev, Higgs mode in a two-dimensional super fluid. Phys. Rev. Lett. 109(1), 010401 (2012). 010401. org/doi/10. 010401 34 2 Dynamics and Conductivity Near Quantum Criticality 24.