2005/01/31 by Ki-Seok Kim, Ki‐Seok Kim
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #cond-mat.dis-nn #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.72.014406
published as Phys. Rev. B 72, 014406 (2005)
arxiv created 2005/03/22 · openalex publication_date 2005/07/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We investigate the effect of nonmagnetic disorder on the stability of the algebraic spin liquid (ASL) by deriving an effective field theory, nonlinear \ensuremathσ model (NL\ensuremathσM). We find that the anomalous critical exponent characterizing the criticality of the ASL causes an anomalous gradient in the NL\ensuremathσM. 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 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 Tc cuprates.