A Renormalization Group Method for Quasi One-dimensional Quantum Hamiltonians
S. Moukouri (Michigan), L.G. Caron (Sherbrooke)
TL;DR
This paper introduces a two-step density-matrix renormalization group method for analyzing highly anisotropic two-dimensional quantum systems, effectively reducing the problem to coupled one-dimensional calculations.
Contribution
The paper presents a novel RG approach that combines 1D DMRG calculations to study anisotropic 2D quantum Hamiltonians, enabling more efficient analysis of such systems.
Findings
Successfully applied to the anisotropic quantum spin half Heisenberg model
Demonstrates effectiveness in capturing low-energy properties of anisotropic 2D systems
Provides a scalable method for quasi-one-dimensional quantum Hamiltonians
Abstract
A density-matrix renormalization group (DMRG) method for highly anisotropic two-dimensional systems is presented. The method consists in applying the usual DMRG in two steps. In the first step, a pure one dimensional calculation along the longitudinal direction is made in order to generate a low energy Hamiltonian. In the second step, the anisotropic 2D lattice is obtained by coupling in the transverse direction the 1D Hamiltonians. The method is applied to the anisotropic quantum spin half Heisenberg model on a square lattice.
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