Publications (61)
Mass flows and angular momentum density for paired fermions in a harmonic trap
Michael Stone, Inaki Anduaga
We present a simple two-dimensional model of a superfluid in which the mass flow that gives rise to the intrinsic angular momentum is easily calculated by numerical diag…
Josephson Current and Proximity Effect in Luttinger Liquids
Dmitrii L. Maslov, Michael Stone, Paul M. Goldbart +1
A theory describing a one-dimensional Luttinger liquid in contact with superconductor is developed. Boundary conditions for the fermion fields describing Andreev reflection at the…
Symmetries, Dimensions, and Topological Insulators: the mechanism behind the face of the Bott clock
Michael Stone, Ching-Kai Chiu, Abhishek Roy
We provide an account of some of the mathematics of Bott periodicity and the Atiyah, Bott, Shapiro construction. We apply these ideas to understanding the twisted bundles of electr…
Solitons in a continuous classical Haldane-Shastry spin chain
Tianci Zhou, Michael Stone
Motivated by Polychronakos' discovery that solitons exist in the hydrodynamic equations of continuum version of the Calogero model, we seek solitons in the classical dynamics of a…
Dynamics of T=0 BCS condensates
Michael Stone
Fermi-surface bosonization is used to show that the long-wavelength, , dynamics of a BCS superfluid or superconductor is described by a galilean invariant non-linear time-depe…
Edge modes, edge currents, and gauge invariance in superfluids and superconductors
Michael Stone, Rahul Roy
The excitation spectrum of a two-dimensional fermionic superfluid, such as a thin film of He-A, includes a gapless Majorana-Weyl fermion which is confined to the bou…