73 citations · 158 across the 9 of their papers we have counts for
9 papers
Nonlinear Lifshitz Photon Theory in Condensed Matter Systems
Yi-Hsien Du, Cenke Xu, Dam Thanh Son
We present an interacting theory of a gauge boson with a quadratic dispersion relation, which we call the "nonlinear Lifshitz photon theory.'' The Lifshitz photon is a three…
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…
Fast reaction limit of reaction diffusion systems with nonlinear diffusion
Elaine Crooks, Yini Du
In this paper, we present an approach to characterising fast-reaction limits of systems with nonlinear diffusion, when there are either two reaction-diffusion equations, or one rea…
Self-similar solutions of fast reaction limit problem with nonlinear diffusion
Elaine Crooks, Yini Du
In this paper, we present an approach to characterising self-similar fast-reaction limits of systems with nonlinear diffusion. For appropriate initial data, in the fast-reaction li…
Nonlinear Bosonization of Fermi Surfaces: The Method of Coadjoint Orbits
Luca V. Delacretaz, Yi-Hsien Du, Umang Mehta +1
We develop a new method for bosonizing the Fermi surface based on the formalism of the coadjoint orbits. This allows one to parametrize the Fermi surface by a bosonic field that de…
Noncommutative gauge symmetry in the fractional quantum Hall effect
Yi-Hsien Du, Umang Mehta, Dam Thanh Son
We show that a system of particles on the lowest Landau level can be coupled to a probe U(1) gauge field in such a way that the theory is invariant under a noncommut…
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…
Rotons in Anyon Superfluids
Yi-Hsien Du, Umang Mehta, Dam Thanh Son
We consider the problem of calculating the excitation spectrum of a gas of nonrelativistic anyons. When the anyons have statistics close to fermionic and the statistical angle has…
Butterfly Effect and Holographic Mutual Information under External Field and Spatial Noncommutativity
Wung-Hong Huang, Yi-Hsien Du
We apply the transformation of mixing azimuthal and internal coordinate or mixing time and internal coordinate to a stack of N black M-branes to find the Melvin spacetime of a stac…