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Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice

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Sorella, Sandro, Otsuka, Yuichi, Yunoki, Seiji·2012·Scientific Reports

Abstract

A spin liquid is a novel quantum state of matter with no conventional order parameter where a finite charge gap exists even though the band theory would predict metallic behavior. Finding a stable spin liquid in two or higher spatial dimensions is one of the most challenging and debated issues in condensed matter physics. Very recently, it has been reported that a model of graphene, i.e., the Hubbard model on the honeycomb lattice, can show a spin liquid ground state in a wide region of the phase diagram, between a semi-metal (SM) and an antiferromagnetic insulator (AFMI). Here, by performing numerically exact quantum Monte Carlo simulations, we extend the previous study to much larger clusters (containing up to 2592 sites), and find, if any, a very weak evidence of this spin liquid region. Instead, our calculations strongly indicate a direct and continuous quantum phase transition between SM and AFMI.

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Metadata

Authors
Sorella, S., Otsuka, Y., & Yunoki, S.
Venue
Scientific Reports
Published
2012-12-18
Volume
2
Issue
1
Pages
992-992
ISSN
2045-2322 (ISSN-L)
OpenAlex
W2001445685
Cited by
329
References
22
FWCI
23.46
Type
journal article
Language
en
Open access
gold

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CoChat. (2026). Citation check: Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice. https://app.cochat.ai/papers/10.1038/srep00992
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Sorella, S., Otsuka, Y., & Yunoki, S. (2012). Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice. Scientific Reports. https://doi.org/10.1038/srep00992

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