117 citations · 1.8k across the 104 of their papers we have counts for
8 papers · 1 filter
Fragile Topological Phases and Topological Order of 2D Crystalline Chern Insulators
Hisham Sati, Urs Schreiber
We apply methods of equivariant homotopy theory, which may not previously have found due attention in condensed matter physics, to classify first the fragile/unstable topological p…
Complete Topological Quantization of Higher Gauge Fields
Hisham Sati, Urs Schreiber
After global completion of higher gauge fields (as appearing in higher-dimensional supergravity) by proper flux quantization in extraordinary nonabelian cohomology, the (non-pertur…
Orientations of Orbi-K-Theory measuring Topological Phases and Brane Charges
Hisham Sati, Urs Schreiber
Topological Chern phases of quantum materials, as well as brane charges on M-theory orbifolds, have famously been argued to be classified by (orbi) topological K-theory, or possibl…
Renormalization of Chern-Simons Wilson Loops via Flux Quantization in Cohomotopy
Hisham Sati, Urs Schreiber
In the practice of physics model building, the process of renormalization, resummation, and anomaly cancellation is to incrementally repair initially ill-defined Lagrangian quantum…
Non-Lagrangian Construction of Anyons via Flux Quantization in Cohomotopy
Hisham Sati, Urs Schreiber
We provide a brief invitation to the novel understanding of anyonic topological order in fractional quantum (anomalous) Hall systems, via "extraordinary" quantization of effective…
Fractional Quantum Hall Anyons via the Algebraic Topology of Surplus Flux Quanta
Hisham Sati, Urs Schreiber
Fractional quantum Hall systems (FQH), with their experimentally observed anyonic topological order, are a candidate future hardware platform for intrinsically stable quantum regis…