Competing Orders and non-Landau-Ginzburg-Wilson Criticality in (Bose) Mott transitions
arXiv:cond-mat/0504692 · doi:10.1143/PTPS.160.314
Abstract
This paper reviews a recent non-Landau-Ginzburg-Wilson (LGW) approach to superfluid to Mott insulator transitions in two dimensional bosonic lattice systems, using a dual vortex field theory (cond-mat/0408329). The physical interpretation of conventional LGW theory of quantum criticality is re-examined and similarities and differences with the vortex picture are discussed. The ``unification'' of various competing (insulating) orders, and the coincidence of these orders with the Mott transition are readily understood in this formulation. Some aspects of the recent theory of ``deconfined'' quantum criticality, which are to an extent subsumed in this approach, are discussed. A pedagogical presentation of the ``nuts and bolts'' of boson-vortex duality at the hamiltonian level is included, tailored to a condensed matter audience.
arXiv commentPedagogical article written for proceedings of "Physics of Strongly Correlated Electron Systems" YKIS2004 workshop, held at Yukawa Institute, Kyoto, Japan, November 2004
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