Harvard Condensed Matter Theory Seminars
Sung-Sik Lee, MIT
- Fractionalization in a strongly correlated exciton system
- Strongly correlated exciton system can exhibit fractionalized
phases besides conventional disordered and bose condensed phases.
In the fractionalized phase, charge neutral `half exciton'
arises as a low energy degree of freedom along with an emergent
U(1) gauge field. Starting from a matrix model model which
describes non-relativistic exciton bose condensates in a degenerate
band, I will show how a relativistic gauge theory emerges at
low energies with either fractionalized boson or fermion depending
on the coupling constants. From a world line picture of exciton
it will be shown that the deconfinement phase can occur in the
gauge theory despite an infinite bare gauge coupling. A possibility
of coexistence between fractionalization and conventional long
range order of exciton will also be discussed based on a vortex
approach which is `electro-magnetically' dual to the world line approach.
The exciton model can be numerically simulated without sign problem
and some of our results will be shown.
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