Time: 10:00 AM – 11:00 AM

Location: BRIM 311

Abstract: A great variety of topological phases have been classified as a consequence of discovery of the quantum Hall effect, but this work has recently led to discovery of some topologically non-trivial phases of matter, which contradict key assumptions of established classification schemes. These phases, which are the topological skyrmion phases of matter, multiplicative topological phases of matter, and finite-size topological phases of matter, necessitate a paradigm shift from the quantum Hall effect framework to that of the quantum skyrmion Hall effect, in which the point charges of the quantum Hall effect are generalised to compactified p-branes. For compactification via fuzzification, these compactified p-branes carrying charge are necessarily expressed in terms of angular momentum as quantum skyrmions. Ostensibly (d+1)-dimensional systems, based on the number of Cartesian coordinates they possess, can then in fact have D additional dimensions encoded in (pseudo)spin degrees of freedom, and realize intrinsically (D+d+1)-dimensional topological states, a finding supported by results in lattice tight-binding models.

Bio: Ashley Cook, Group Leader, Max Planck, Dresden