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Competing Orders and non-Landau-Ginzburg-Wilson Criticality in (Bose) Mott transitions

Leon Balents·Lorenz Bartosch·Anton Burkov·Subir Sachdev·K. Sengupta
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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.

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Leon Balents, Lorenz Bartosch, Anton Burkov, Subir Sachdev, K. Sengupta. 2005-04-26. Competing Orders and non-Landau-Ginzburg-Wilson Criticality in (Bose) Mott transitions. https://doi.org/10.1143/ptps.160.314

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