Download Dynamics Near Quantum Criticality in Two Space Dimensions by Snir Gazit PDF

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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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.

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