Unconventional Quantum Critical Points

Details Unconventional Quantum Critical Points Unconventional Quantum Critical Points

2012-02-27

arxiv.org/abs/1202.6065v2

Physics

Condensed Matter

Strongly Correlated Electrons

28 pages, 6 figures. Review article for Int. J. Mod. Phys. B

Scientific paper

In this paper we review the theory of unconventional quantum critical points that are beyond the Landau's paradigm. Three types of unconventional quantum critical points will be discussed: (1). The transition between topological order and semiclassical spin ordered phase; (2). The transition between topological order and valence bond solid phase; (3). The direct second order transition between different competing orders. We focus on the field theory and universality class of these unconventional quantum critical points. Relation of these quantum critical points with recent numerical simulations and experiments on quantum frustrated magnets are also discussed.

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