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Noncommutative Field Theory of the Tkachenko Mode: Symmetries and Decay Rate
Yi-Hsien Du, Sergej Moroz, Dung Xuan Nguyen +1
We construct an effective field theory describing the collective Tkachenko oscillation mode of a vortex lattice in a two-dimensional rotating Bose-Einstein condensate in the long-w…
Multiple Magnetorotons and Spectral Sum Rules in Fractional Quantum Hall Systems
Dung Xuan Nguyen, F. D. M. Haldane, E. H. Rezayi +2
We study numerically the the charge neutral excitations (magnetorotons) in fractional quantum Hall systems, concentrating on the two Jain states near quarter filling, and $…
Dirac Composite Fermion Theory of General Jain's Sequences
Dung Xuan Nguyen, Dam Thanh Son
We reconsider the composite fermion theory of general Jain's sequences with filling factor . We show that Goldman and Fradkin's proposal of a Dirac composite fermion…
Volume-preserving diffeomorphism as nonabelian higher-rank gauge symmetry
Yi-Hsien Du, Umang Mehta, Dung Xuan Nguyen +1
We propose nonabelian higher-rank gauge theories in 2+1D and 3+1D. The gauge group is constructed from the volume-preserving diffeomorphisms of space. We show that the intriguing p…
Chiral Metric Hydrodynamics, Kelvin Circulation Theorem, and the Fractional Quantum Hall Effect
Dam Thanh Son
By extending the Poisson algebra of ideal hydrodynamics to include a two-index tensor field, we construct a new (2+1)-dimensional hydrodynamic theory that we call "chiral metric hy…
Algebraic Approach to Fractional Quantum Hall Effect
Dung Xuan Nguyen, Dam Thanh Son
We construct an algebraic description for the ground state and for the static response of the quantum Hall plateaux with filling factor in the large limit. By anal…