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Time-reversal invariant topological skyrmion phases
R. Flores-Calderon, Ashley M. Cook
Topological phases realized in time-reversal invariant (TRI) systems are foundational to experimental study of the broader canon of topological condensed matter as they do not requ…
Multiplicative topological semimetals
Adipta Pal, Joe H. Winter, Ashley M. Cook
Exhaustive study of topological semimetal phases of matter in equilibriated electonic systems and myriad extensions has built upon the foundations laid by earlier introduction and…
Time-reversal invariant finite-size topology
R. Flores-Calderón, Roderich Moessner, Ashley M. Cook
We report finite-size topology in the quintessential time-reversal (TR) invariant systems, the quantum spin Hall insulator (QSHI) and the three-dimensional, strong topological insu…
Finite-size Topology
Ashley M. Cook, Anne E. B. Nielsen
We show that topological characterization and classification in -dimensional systems, which are thermodynamically large in only dimensions and finite in size in dimens…
Defect bulk-boundary correspondence of topological skyrmion phases of matter
Shu-Wei Liu, Li-kun Shi, Ashley M. Cook
Unpaired Majorana zero-modes are central to topological quantum computation schemes as building blocks of topological qubits, and are therefore under intense experimental and theor…
Topology in the Sierpiński-Hofstadter problem
Marta Brzezińska, Ashley M. Cook, Titus Neupert
Using the Sierpiński carpet and gasket, we investigate whether fractal lattices embedded in two-dimensional space can support topological phases when subjected to a homogeneous ext…