Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2008-11-10
Phys. Rev. B 79, 064405 (2009)
Physics
Condensed Matter
Strongly Correlated Electrons
36 pages, 11 figures
Scientific paper
10.1103/PhysRevB.79.064405
We present a general approach to understanding the quantum phases and phase transitions of quantum antiferromagnets in two spatial dimensions. We begin with the simplest spin liquid state, the Z_2 spin liquid, whose elementary excitations are spinons and visons, carrying Z_2 electric and magnetic charges respectively. Their dynamics are expressed in terms of a doubled U(1) Chern-Simons theory, which correctly captures the `topological' order of the Z_2 spin liquid state. We show that the same theory also yields a description of the variety of ordered phases obtained when one or more of the elementary excitations condense. Field theories for the transitions and multicritical points between these phases are obtained. We also survey experimental results on antiferromagnets on the anisotropic triangular lattice, and make connections between their phase diagrams and our results.
Sachdev Subir
Xu Cenke
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