Deconfined quantum criticality driven by Dirac fermions in SU(2) antiferromagnets
- Institut fuer Theoretische Physik, Freie Universitaet Berlin, Arnimallee 14, D-14195 Berlin (Germany)
Quantum electrodynamics in 2+1 dimensions is an effective gauge theory for the so-called algebraic quantum liquids. A new type of such a liquid, the algebraic charge liquid, has been proposed recently in the context of deconfined quantum critical points [R. K. Kaul et al., Nat. Phys. 4, 28 (2008)]. In this context, by using the renormalization group in d=4-{epsilon} space-time dimensions, we show that a deconfined quantum critical point occurs in a SU(2) system provided the number of Dirac fermion species N{sub f}{>=}4. The calculations are done in a representation where the Dirac fermions are given by four-component spinors. The critical exponents are calculated for several values of N{sub f}. In particular, for N{sub f}=4 and {epsilon}=1 (d=2+1), the anomalous dimension of the Neel field is given by {eta}{sub N}=1/3, with a correlation length exponent {nu}=1/2. These values considerably change for N{sub f}>4. For instance, for N{sub f}=6, we find {eta}{sub N}{approx_equal}0.75 191 and {nu}{approx_equal}0.660 09. We also investigate the effect of chiral symmetry breaking and analyze the scaling behavior of the chiral holon susceptibility, G{sub {chi}}(x){identical_to}<{psi}(x){psi}(x){psi}(0){psi}(0)>.
- OSTI ID:
- 21143543
- Journal Information:
- Physical Review. B, Condensed Matter and Materials Physics, Vol. 77, Issue 19; Other Information: DOI: 10.1103/PhysRevB.77.195101; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1098-0121
- Country of Publication:
- United States
- Language:
- English
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