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Random quantum magnets in d>=2 dimensions: critical behavior and entanglement entropy
Ferenc Iglói
Wigner Research Center (Budapest)
Thursday 13 June 2013 , 10h25
Salle de séminaire du groupe de Physique Statistique

Using the strong disorder renormalization group method, we study numerically the quantum critical behavior (i.e. at T=0) of the random transverse-field Ising model in d=2,3 and 4 dimensions. In all cases the critical behavior is controlled by an infinite disorder fixed point and the critical exponents in the bulk, as well as at a free surface, corner and edge are disorder independent. The entanglement entropy satisfies the area law to which there are universal logarithmic corrections at the critical point due to corners. I. A. Kov\'acs and F. Igl\'oi, Phys. Rev. B83, 174207 (2011); J. Phys.: Condens. Matter 23, 404204 (2011); EPL 97, 67009 (2012); Phys. Rev. B 87, 024204 (2013)

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