Contractor-renormalization study of Hubbard plaquette clusters
نویسندگان
چکیده
منابع مشابه
Application of Contractor Renormalization Group (CORE) to the Heisenberg zig-zag and the Hubbard chain
The COntractor REnormalization group method was devised in 1994 by Morningstar and Weinstein. It was primarily aimed at extracting the physics of lattice quantum field theories (like lattice Quantum Chromodynamics). However, it is a general method of analyzing Hamiltonian lattice systems, e.g. Ising, Heisenberg or Hubbard models. The aim of this work is to show the application of CORE to one-di...
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We present a method for contracting a square-lattice tensor network in two dimensions based on auxiliary tensors accomplishing successive truncations (renormalization) of eight-index tensors for 2 × 2 plaquettes into four-index tensors. Since all approximations are done on the wave function (which also can be interpreted in terms of different kinds of tensor networks), the scheme is variational...
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Contractor renormalization (CORE) is a real-space renormalization-group method to derive effective Hamiltionians for microscopic models. The original CORE method is based on a real-space decomposition of the lattice into small blocks and the effective degrees of freedom on the lattice are tensor products of those on the small blocks. We present an extension of the CORE method that overcomes thi...
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T. Ying,1 R. Mondaini,2,3 X. D. Sun,1 T. Paiva,4 R. M. Fye,5 and R. T. Scalettar3 1Department of Physics, Harbin Institute of Technology, Harbin 150001, China 2Physics Department, The Pennsylvania State University, 104 Davey Laboratory, University Park, Pennsylvania 16802, USA 3Physics Department, University of California, Davis, California 95616, USA 4Instituto de Fisica, Universidade Federal ...
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We demonstrate the utility of the numerical Contractor Renormalization (CORE) method for quantum spin systems by studying one and two dimensional model cases. Our approach consists of two steps: (i) building an effective Hamiltonian with longer ranged interactions up to a certain cut-off using the CORE algorithm and (ii) solving this new model numerically on finite clusters by exact diagonaliza...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2010
ISSN: 1098-0121,1550-235X
DOI: 10.1103/physrevb.82.134537