Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2004-07-07
Phys. Rev. B (R) 70, 140405 (2004)
Physics
Condensed Matter
Strongly Correlated Electrons
Scientific paper
10.1103/PhysRevB.70.140405
Recently Hermele et. al claimed that the infrared (IR) fixed point of non-compact $QED_3$ is stable against instanton excitations in the limit of large flavors of massless Dirac fermions [cond-mat/0404751]. We investigate an effect of non-magnetic disorder on the deconfined quantum critical phase dubbed U(1) spin liquid ($U1SL$) in the context of quantum antiferromagnet. In the case of weak disorder the IR fixed point remains stable against the presence of both the instanton excitations and non-magnetic disorder and thus the $U1SL$ is sustained. In the case of strong disorder the IR fixed point becomes unstable against the disorder and the Anderson localization is expected to occur. We argue that in this case deconfinement of spinons does not occur since the Dirac fermion becomes massive owing to the localization.
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