Algebraic spin liquid as the mother of many competing orders

Details Algebraic spin liquid as the mother of many competing orders Algebraic spin liquid as the mother of many competing orders

2005-02-08

arxiv.org/abs/cond-mat/0502215v3

Phys. Rev. B 72, 104404 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

Minor changes; final published version. 17 pages, 3 figures

Scientific paper

10.1103/PhysRevB.72.104404

We study the properties of a class of two-dimensional interacting critical states -- dubbed algebraic spin liquids -- that can arise in two-dimensional quantum magnets. A particular example that we focus on is the staggered flux spin liquid, which plays a key role in some theories of underdoped cuprate superconductors. We show that the low-energy theory of such states has much higher symmetry than the underlying microscopic spin system. This symmetry has remarkable consequences, leading in particular to the unification of a number of seemingly unrelated competing orders. The correlations of these orders -- including, in the staggered flux state, the Neel vector and the order parameter for the columnar and box valence-bond solid states -- all exhibit the SAME slow power-law decay. Implications for experiments in the pseudogap regime of the cuprates and for numerical calculations on model systems are discussed.

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