Feb, 2014
Doubling of entanglement spectrum in tensor renormalization group
PHYSICAL REVIEW B
- ,
- ,
- Volume
- 89
- Number
- 7
- Language
- English
- Publishing type
- Research paper (scientific journal)
- DOI
- 10.1103/PhysRevB.89.075116
- Publisher
- AMER PHYSICAL SOC
We investigate the entanglement spectrum in HOTRG-tensor renormalization group (RG) method combined with the higher order singular value decomposition-for two-dimensional (2D) classical vertex models. In the off-critical region, it is explained that the entanglement spectrum associated with the RG transformation is described by "doubling" of the spectrum of a corner transfer matrix. We then demonstrate that the doubling actually occurs for the square-lattice Ising model by HOTRG calculations up to D = 64, where D is the cutoff dimension of tensors. At the critical point, we also find that a nontrivial D scaling behavior appears in the entanglement entropy. We mention about the HOTRG for the 1D quantum system as well.
- Link information
- ID information
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- DOI : 10.1103/PhysRevB.89.075116
- ISSN : 1098-0121
- eISSN : 1550-235X
- Web of Science ID : WOS:000332387900003