Competing order and non-Landau-Ginzburg-Wilson criticality in (Bose) Mott transitions

Balents, Leon ; Bartosch, Lorenz ; Burkov, Anton ; Sachdev, Subir ; Sengupta, Krishnendu (2005) Competing order and non-Landau-Ginzburg-Wilson criticality in (Bose) Mott transitions Progress of Theoretical Physics - Supplement, 2005 (160). pp. 314-336. ISSN 0375-9687

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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 [L. Balents, L. Bartosch, A. Burkov, S. Sachdev and K. Sengupta, Phys. Rev. B 71 (2005), 144508; Phys. Rev. B 71 (2005), 144509]. 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 formulation. Some aspects of the recent theory of "deconfined" quantum criticality, which are to an extent subsumed 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.

Item Type:Article
Source:Copyright of this article belongs to Institute of Pure and Applied Physics.
ID Code:81328
Deposited On:06 Feb 2012 05:06
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