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Center for Nonlinear Studies |
The interest in long range interactions has increased in the last years due to the recent simulations with cold atomic devices. Our investigation focuses on the derivation of the phase diagram and the critical exponents of weak long range interacting N components quantum rotor models (the N = 1 case being the quantum Ising model). Our picture is generic, non perturbative and it is valid for any spin components number N, spatial dimension d and decay exponent σ. The phase diagram as a function of the decay exponent σ is rich and the correlation functions are strongly anisotropic in the spatial and time coordinates. The application of these results to experimental realization of ultra-thin Fe films will be discussed. Moreover expectations upon the dynamical properties will be presented.
Host: Avadh Saxena