Groupe de Physique Statistique

Equipe 106, Institut Jean Lamour

                     
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Séminaire de groupe

Random quantum systems with long-range interactions
Ferenc Iglói
Wigner Research Centre for Physics, Budapest, Hungary
Institute of Theoretical Physics, Szeged University, Hungary
lundi 08 juin 2015 , 10h25
Salle de séminaire du groupe de Physique Statistique

We study the low-energy properties of the long-range random transverse-field Ising model in $d$-dimension having ferromagnetic interactions decaying as a power $d+\sigma$ of the distance. In particular we studied the system in $d=1$ using variants of the strong-disorder renormalization group method [1]. The critical behavior is found to be controlled by a strong-disorder fixed point with a {\it finite} dynamical exponent $z_c=d+\sigma$. Approaching the critical point, the correlation length diverges exponentially. In the critical point, the magnetization shows a $\sigma$-independent logarithmic finite-size scaling and the entanglement entropy satisfies the area law. Similar observations are found in higher dimensions, as well as for the long-range epidemic spreading (contact process) in a random environment [2]. <br><br> [1] R. Juhász, I. A. Kovács and F. Iglói, EPL <b>107</b>, 47008 (2014) <br> [2] R. Juhász, I. A. Kovács and F. Iglói, Phys. Rev. E <b>91</b>, 032815 (2015)

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