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Thermodynamic limit of the density matrix renormalization for the spin-1 Heisenberg chain

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arxiv cond-mat/9503107 v1 pith:O6MMAZX5 submitted 1995-03-17 cond-mat

Stellan Ostlund , Stefan Rommer This is my paper · ORCID
classification cond-mat
keywords renormalizationspin-1statesdensityheisenberglimitmatrixmethod
verification ladder T0 review T1 audit T2 compute T3 formal
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The density matrix renormalization group (``DMRG'') discovered by White has shown to be a powerful method to understand the properties of many one dimensional quantum systems. In the case where renormalization eventually converges to a fixed point we show that quantum states in the thermodynamic limit with periodic boundary conditions can be simply represented by a special type of product ground state with a natural description of Bloch states of elementary excitations that are spin-1 solitons. We then observe that these states can be rederived through a simple variational ansatz making no reference to a renormalization construction. The method is tested on the spin-1 Heisenberg model.

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Cited by 3 Pith papers

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  1. Infinite matrix product states for $(1+1)$-dimensional gauge theories

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    A matrix product operator construction using link-enhanced MPOs enables infinite-lattice simulations of (1+1)D gauge theories with manifest translation invariance and symmetry.

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    In an SU(2) quantum link model on a hexagonal lattice, the static quark potential shows a coupling-dependent Lüscher term and logarithmically growing string width, indicating a rough confining string with no continuum limit.

  3. Tensor-network toolbox for probing dynamics of non-Abelian gauge theories

    hep-lat 2025-01 conditional novelty 5.0 of 10

    A matrix-product-state ansatz in the loop-string-hadron basis is used to compute ground-state energies, static potentials, and string-breaking dynamics of (1+1)D SU(2) lattice gauge theory, reproducing known qualitati...

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