45 research outputs found
Evidence for deconfined gauge theory at the transition between toric code and double semion
Building on quantum Monte Carlo simulations, we study the phase diagram of a
one-parameter Hamiltonian interpolating between trivial and topological Ising
paramagnets in two dimensions, which are dual to the toric code and the double
semion. We discover an intermediate phase with stripe order which spontaneously
breaks the protecting Ising symmetry. Remarkably, we find evidence that this
intervening phase is gapless due to the incommensurability of the stripe
pattern and that it is dual to a gauge theory exhibiting Cantor
deconfinement.Comment: 8 pages, 4 figures, supplemental material included (6 pages, 8
figures
Topological Floquet-Thouless energy pump
We explore adiabatic pumping in the presence of periodic drive, finding a new
phase in which the topologically quantized pumped quantity is energy rather
than charge. The topological invariant is given by the winding number of the
micromotion with respect to time within each cycle, momentum, and adiabatic
tuning parameter. We show numerically that this pump is highly robust against
both disorder and interactions, breaking down at large values of either in a
manner identical to the Thouless charge pump. Finally, we suggest experimental
protocols for measuring this phenomenon.Comment: 4 pages, 4 figures. Minor replacements and references adde