The Correlated Block Renormalization Group

Abstract

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 operators which reflect the influence on a given block of its neighbours. We illustrate our method in the example of the tight-binding model in 1D and 2D for various types of boundary conditions.

LATEX file, 18 pages, 7 figures available upon request

References in corpus (7)

• Thermodynamic limit of the density matrix renormalization for the spin-1 Heisenberg chain
• Corner Transfer Matrix Renormalization Group Method
• Product Wave Function Renormalization Group Method
• Analytic Formulations of the Density Matrix Renormalization Group
• Quantum Electron Liquids and High-Tc Superconductivity
• Real Space Renormalization Group Methods and Quantum Groups
• The Role of Boundary Conditions in the Real-Space Renormalization Group

Cited by in corpus (9)

• Corner Transfer Matrix Algorithm for Classical Renormalization Group
• The Density Matrix Renormalization Group Method applied to Interaction Round a Face Hamiltonians
• Phase diagram of the anti-ferromagnetic xxz model in the presence of an external magnetic field
• Single-Block Renormalization Group: Quantum Mechanical Problems
• Density Matrix and Renormalization for Classical Lattice Models
• A Real Space Renormalization Group Approach to Field Evolution Equations
• Quantum Renormalization Group for 1 Dimensional Fermion Systems
• Real-Space Renormalization Group Method Applied to Quantum Lattice Hamiltonians
• Geometrically Frustrated Anisotropic Four-Leg Spin-$1/2$ Nanotube