Entanglement renormalization in noninteracting fermionic systems

Evenbly, G. and Vidal, G. (2010) Entanglement renormalization in noninteracting fermionic systems. Physical Review B - Condensed Matter and Materials Physics, 81 23: 235102-1-235102-5. doi:10.1103/PhysRevB.81.235102

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Author Evenbly, G.
Vidal, G.
Title Entanglement renormalization in noninteracting fermionic systems
Journal name Physical Review B - Condensed Matter and Materials Physics   Check publisher's open access policy
ISSN 1098-0121
Publication date 2010-06-02
Sub-type Article (original research)
DOI 10.1103/PhysRevB.81.235102
Open Access Status File (Publisher version)
Volume 81
Issue 23
Start page 235102-1
End page 235102-5
Total pages 5
Place of publication College Park, MD, United States
Publisher American Physical Society
Collection year 2011
Language eng
Abstract We demonstrate, in the context of quadratic fermion lattice models in one and two spatial dimensions, the potential of entanglement renormalization (ER) to define a proper real-space renormalization group transformation. Our results show the validity of the multiscale entanglement renormalization ansatz to describe certain ground states in two dimensions, including quantum critical states. They also unveil a connection between the performance of ER and the logarithmic violations of the boundary law for entanglement in systems with a one-dimensional Fermi surface. ER is recast in the language of creation/annihilation operators and correlation matrices. © 2010 The American Physical Society.
Keyword Formulation
Entanglement renormalization (ER)
Quantum critical states
Logarithmic violations
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes Article # 235102

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2011 Collection
Version Filter Type
Citation counts: TR Web of Science Citation Count  Cited 16 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 14 times in Scopus Article | Citations
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Created: Sun, 20 Jun 2010, 00:01:56 EST