31 July 2017 to 18 August 2017
Nordita, Stockholm
Europe/Stockholm timezone

Session

J. Slingerland, Spin chains with stable topological zero modes.

11 Aug 2017, 13:30
122:026 (Nordita, Stockholm)

122:026

Nordita, Stockholm

Description

Ground state degeneracy is an important characteristic of
topological
order. It is a natural question under what conditions such
topological
degeneracy extends to higher energy states or even to the
full energy
spectrum of a model, in such a way that the degeneracy is
preserved
when the Hamiltonian of the system is perturbed. It appears that
Ising/Majorana wires have this property due to the presence
of robust
edge zero modes. Generalized wire models based on
parafermions also
have edge zero modes and topological degeneracy at special
points in
parameter space, but the stability of these modes is a much
more
intricate question, and generically the zero modes are
spoilt by the
presence of resonances between bands in the unpertrbed
model. Both the
Majorana and parafermionic models are part of a large class
of chain
models with edge modes, based on tensor categories. It is
natural to
ask which of these have stable edge zero modes and/or full
spectrum
degeneracy.

Presentation materials

There are no materials yet.
Building timetable...