Linearized tensor renormalization group algorithm for the calculation of thermodynamic properties of quantum lattice models

A linearized tensor renormalization group algorithm is developed to calculate the thermodynamic properties of low-dimensional quantum lattice models. This new approach employs the infinite time-evolving block decimation technique, and allows for treating directly the transfer-matrix tensor network t...

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Veröffentlicht in:Physical review letters 2011-03, Vol.106 (12), p.127202-127202, Article 127202
Hauptverfasser: Li, Wei, Ran, Shi-Ju, Gong, Shou-Shu, Zhao, Yang, Xi, Bin, Ye, Fei, Su, Gang
Format: Artikel
Sprache:eng
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Zusammenfassung:A linearized tensor renormalization group algorithm is developed to calculate the thermodynamic properties of low-dimensional quantum lattice models. This new approach employs the infinite time-evolving block decimation technique, and allows for treating directly the transfer-matrix tensor network that makes it more scalable. To illustrate the performance, the thermodynamic quantities of the quantum XY spin chain as well as the Heisenberg antiferromagnet on a honeycomb lattice are calculated by the linearized tensor renormalization group method, showing the pronounced precision and high efficiency.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.106.127202