Competing Orders and Non-Landau-Ginzburg-Wilson Criticality in (Bose) Mott Transitions(Yukawa International Seminar 2004 (YKIS2004) Physics of Strongly Correlated Electron Systems)

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概要

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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 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.

• 理論物理学刊行会の論文
• 2006-02-06

著者

• Balents Leon

  Physics Department University Of California

• Burkov Anton

  Physics Department University Of California

• BARTOSCH Lorenz

  Department of Physics, Yale University

• SACHDEV Subir

  Department of Physics, Yale University

• SENGUPTA Krishnendu

  Department of Physics, University of Toronto

• Sengupta Krishnendu

  Department Of Physics University Of Toronto

• Sachdev Subir

  Department Of Physics Yale University

• Bartosch Lorenz

  Department Of Physics Yale University:institut Fur Theoretische Physik Universitat Frankfurt

• BARTOSCH Lorenz

  Department of Physics, Yale University:Institut fur Theoretische Physik, Universitat Frankfurt

• BALENTS Leon

  Physics Department, University of California

• BURKOV Anton

  Physics Department, University of California

関連論文

• Competing Orders and Non-Landau-Ginzburg-Wilson Criticality in (Bose) Mott Transitions(Yukawa International Seminar 2004 (YKIS2004) Physics of Strongly Correlated Electron Systems)
• Comment on "Spin Transport Properties of the Quantum One-Dimensional Non-Linear Sigma Model"

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