Real-space renormalization group approach for the corner Hamiltonian

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dc.creatorOkunishi, Kouichi
dc.date2005-07-08
dc.date2005-12-18
dc.date.accessioned2026-07-07T06:41:18Z
dc.date.available2026-07-07T06:41:18Z
dc.descriptionWe present a real-space renormalization group approach for the corner Hamiltonian, which is relevant to the reduced density matrix in the density matrix renormalization group. A set of self-consistent equations that the renormalized Hamiltonian should satisfy in the thermodynamic limit is also derived from the fixed point of the recursion relation for the corner Hamiltonian. We demonstrate the renormalization group algorithm for the $S=1/2$ XXZ spin chain and show that the results are consistent with the exact solution. We further examine the renormalization group for the S=1 Heisenberg spin chain and then discuss the nature of the eigenvalue spectrum of the corner Hamiltonian for the non-integrable model.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0507195
dc.identifierhttp://arxiv.org/abs/cond-mat/0507195
dc.identifierJ.Phys.Soc.Jpn. 74 (2005) 3186-3192
dc.identifierdoi:10.1143/JPSJ.74.3186
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101620
dc.subjectStatistical Mechanics
dc.subjectStrongly Correlated Electrons
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleReal-space renormalization group approach for the corner Hamiltonian
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