### Fields of Interest

### Biography

My research focus is on identifying and classifying exotic phases of matter. In particular, our group focuses on phases which cannot be understood in terms of traditional symmetry breaking Ginzburg-Landau theory, such as fractional quantum Hall phases and topological insulators (TIs). Recently we have been classifying strongly interacting versions of TIs, termed ‘symmetry protected topological’ phases, using tools such as topological quantum field theory and exactly solved models. We are also interested in other settings for realizing topological order, such as at non-zero energy density or in driven (Floquet) systems, aided by many-body localization.

Selected papers (arXiv versions):

An infinite family of 3d Floquet topological paramagnets, Andrew C. Potter, Ashvin Vishwanath, Lukasz Fidkowski, Phys. Rev. B 97, 245106 (2018)

Chiral Floquet Phases of Many-body Localized Bosons, Hoi Chun Po, Lukasz Fidkowski, Takahiro Morimoto, Andrew C. Potter, Ashvin Vishwanath, Phys. Rev. X 6, 041070 (2016)

Discrete spin structures and commuting projector models for 2d fermionic symmetry protected topological phases, Nicolas Tarantino and Lukasz Fidkowski, Phys. Rev. B 94, 115115 (2016)

Anomalous Symmetry Fractionalization and Surface Topological Order, Xie Chen, Fiona J. Burnell, Ashvin Vishwanath, Lukasz Fidkowski, Phys. Rev. X 5, 041013 (2015)

Non-Abelian Topological Order on the Surface of a 3D Topological Superconductor from an Exactly Solved Model, Lukasz Fidkowski, Xie Chen, Ashvin Vishwanath, Phys. Rev. X 3, 041016 (2013)

Topological phases of fermions in one dimension, Lukasz Fidkowski and Alexei Kitaev, Physical Review B 83 (7), 075103 (2011)

Entanglement spectrum of topological insulators and superconductors, Lukasz Fidkowski, Physical Review Letters 104 (13), 130502 196 (2010)