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NATO ASI series. Series B : Physics

The Hubbard Model and Its Application to Conjugated π-Electron Systems

D. Baeriswyl, Eric Jeckelmann

Published Jan 1, 1995• 5 citations
Publisher
DOI
10.1007/978-1-4899-1042-4_44

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We extend the density-matrix renormalization-group (DMRG) method to exploit parity, C2{\mathit{C}}_{2}C2​ (rotation by \ensuremath{\pi}), and electron-hole symmetries of model Hamiltonians. We demonstrate the power of this method by obtaining the lowest-energy states in all eight symmetry subspaces of Hubbard chains with up to 50 sites. The ground-state energy, optical gap, and spin gap of regular U=4t and U=6t Hubbard chains agree very well with exact results. This development extends the scope of the DMRG method and allows future applications to study of optical properties of low-dimensional conjugated polymeric systems. \textcopyright{} 1996 The American Physical Society.