Self-assembling tensor networks and holography in disordered spin chains

@article{Goldsborough2014SelfassemblingTN,
  title={Self-assembling tensor networks and holography in disordered spin chains},
  author={A. M. Goldsborough and R. A. Romer},
  journal={Physical Review B},
  year={2014},
  volume={89},
  pages={214203}
}
We show that the numerical strong disorder renormalization group algorithm of Hikihara et al. [Phys. Rev. B 60, 12116 (1999)] for the one-dimensional disordered Heisenberg model naturally describes a tree tensor network (TTN) with an irregular structure defined by the strength of the couplings. Employing the holographic interpretation of the TTN in Hilbert space, we compute expectation values, correlation functions, and the entanglement entropy using the geometrical properties of the TTN. We… Expand
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