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- W1996001598 abstract "We investigate the effect of nonmagnetic disorder on the stability of the algebraic spin liquid ($ASL$) by deriving an effective field theory, nonlinear $sigma$ model ($NL{sigma}M$). We find that the anomalous critical exponent characterizing the criticality of the $ASL$ causes an anomalous gradient in the $NL{sigma}M$. We show that the sign of the anomalous gradient exponent or the critical exponent of the $ASL$ determines the stability of the dirty $ASL$. A positive exponent results in an unstable fixed point separating delocalized and localized phases, which is consistent with our previous study [Phys. Rev. B {bf 70}, 140405 (2004)]. We find power law suppression for the density of spinon states in contrast to the logarithmic correction in the free Dirac theory. On the other hand, a negative exponent destabilizes the $ASL$, causing the Anderson localization. We discuss the implication of our study in the pseudogap phase of high $T_c$ cuprates." @default.
- W1996001598 created "2016-06-24" @default.
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- W1996001598 date "2005-07-01" @default.
- W1996001598 modified "2023-09-26" @default.
- W1996001598 title "Effect of nonmagnetic disorder on criticality in the dirty U(1) spin liquid" @default.
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- W1996001598 doi "https://doi.org/10.1103/physrevb.72.014406" @default.
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