2008/03/31 by Cenke Xu
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #cond-mat.other #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.78.054432
14 pages, 5 figures
openalex publication_date 2008/08/21 · arxiv created 2009/06/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the instabilities caused by four-fermion interactions on algebraic spin liquids. Renormalization group (RG) is used for three types of previously proposed spin liquids on the square lattice: the staggered flux state of SU(2) spin system, the \ensuremathπ-flux state of SU(4) spin system, and the \ensuremathπ-flux state of SU(2) spin system. The low-energy field theories of the first two types of spin liquids are QED3 with emerged SU(4) and SU(8) flavor symmetries, the low-energy theory of the \ensuremathπ-flux SU(2) spin liquid is the QCD3 with SU(2) gauge field and emergent Sp(4) [SO(5)] flavor symmetry. Suitable large-N generalization of these spin liquids are discussed, and a systematic 1/N expansion is applied to the RG calculations. The most relevant four-fermion perturbations are identified, and the possible phases driven by relevant perturbations are discussed.