Real-space renormalization group approach for the corner Hamiltonian

Details Real-space renormalization group approach for the corner Hamiltonian Real-space renormalization group approach for the corner Hamiltonian

2005-07-08

arxiv.org/abs/cond-mat/0507195v3

J.Phys.Soc.Jpn. 74 (2005) 3186-3192

Physics

Condensed Matter

Statistical Mechanics

7 pages

Scientific paper

10.1143/JPSJ.74.3186

We 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.

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