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- W2126328286 abstract "We discuss compact $2+1$ dimensional Maxwell electrodynamics coupled to fermionic matter with $N$ replica. For large enough $N$, the latter corresponds to an effective theory for the nearest neighbor $mathrm{SU}(N)$ Heisenberg antiferromagnet, in which the fermions represent solitonic excitations known as spinons. Here, we show that the spinons are deconfined for $N>{N}_{c}=36$, thus leading to an insulating state known as spin liquid. A previous analysis considerably underestimated the value of ${N}_{c}$. We show further that for $20<Nensuremath{leqslant}36$, there can be either a confined or a deconfined phase, depending on the instanton density. For $Nensuremath{leqslant}20$, only the confined phase exists. For the physically relevant value $N=2$, we argue that no paramagnetic phase can emerge since chiral symmetry breaking would disrupt it. In such a case, a spin liquid or any other nontrivial paramagnetic state (for instance, a valence-bond solid) is only possible if doping or frustrating interactions are included." @default.
- W2126328286 created "2016-06-24" @default.
- W2126328286 creator A5032298783 @default.
- W2126328286 creator A5033058876 @default.
- W2126328286 date "2008-01-08" @default.
- W2126328286 modified "2023-10-10" @default.
- W2126328286 title "Compact quantum electrodynamics in<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math>dimensions and spinon deconfinement: A renormalization group analysis" @default.
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- W2126328286 doi "https://doi.org/10.1103/physrevb.77.045107" @default.
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