205 citations · 3k across the 122 of their papers we have counts for
8 papers · 1 filter
The Correlated Block Renormalization Group
Miguel A. Martin-Delgado, Javier Rodriguez-Laguna, German Sierra
We formulate the standard real-space renormalization group method in a way which takes into account the correlation between blocks. This is achieved in a dynamical way by means of…
The Non Linear Sigma Model and Spin Ladders
German Sierra
The well known Haldane map from spin chains into the non linear sigma model is generalized to the case of spin ladders. This map allows us to explain the different qualitati…
The Renormalization Group Method and Quantum Groups: the postman always rings twice
Miguel A. Martin-Delgado, German Sierra
We review some of our recent results concerning the relationship between the Real-Space Renormalization Group method and Quantum Groups. We show this relation by applying real-spac…
Analytic Formulations of the Density Matrix Renormalization Group
Miguel A. Martin-Delgado, German Sierra
We present two new analytic formulations of the Density Matrix Renormalization Group Method. In these formulations we combine the block renormalization group (BRG) procedure with V…
The Role of Boundary Conditions in the Real-Space Renormalization Group
Miguel A. Martin-Delgado, German Sierra
We show that the failure of the real-space RG method in the 1D tight-binding model is not intrinsic to the method as considered so far but depends on the choice of boundary conditi…
Real Space Renormalization Group Methods and Quantum Groups
Miguel A. Martin-Delgado, German Sierra
We apply real-space RG methods to study two quantum group invariant Hamiltonians, that of the XXZ model and the Ising model in a transverse field defined in an open chain with appr…