Groupe de Physique Statistique

Equipe 106, Institut Jean Lamour

                     
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Séminaire de groupe

Real-Space Renormalization for pure and random quantum spin systems : application to the Shannon-Renyi entropies of the ground state wave function
Cécile Monthus
CEA Saclay
jeudi 19 mars 2015 , 10h25
Salle de séminaire du groupe de Physique Statistique

After a general introduction on real-space renormalization in disordered systems, two explicit RG procedures will be discussed for the quantum Ising chain that displays a zero-temperature phase transition between a ferromagnetic phase and a paramagnetic phase :<br> (i) the self-dual block RG, introduced by Fernandez-Pacheco for the pure chain.<br> (ii) the Ma-Dasgupta-Fisher Strong Disorder RG, defined only for the random chain.<br> These RG procedures can be applied in particular to study the Shannon-Renyi entropies of the ground state wave function : the singularity of the leading extensive term at criticality will be discussed both for the pure and for the random chain.

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