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Barry Bradlyn

Researcher at University of Illinois at Urbana–Champaign

Publications -  111
Citations -  6624

Barry Bradlyn is an academic researcher from University of Illinois at Urbana–Champaign. The author has contributed to research in topics: Fermion & Topological insulator. The author has an hindex of 30, co-authored 97 publications receiving 4473 citations. Previous affiliations of Barry Bradlyn include Donostia International Physics Center & Princeton University.

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Topological quantum chemistry

TL;DR: A complete electronic band theory is proposed, which builds on the conventional band theory of electrons, highlighting the link between the topology and local chemical bonding and can be used to predict many more topological insulators.
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Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals

TL;DR: The guiding principle of the classification is to find irreducible representations of the little group of lattice symmetries at high-symmetry points in the Brillouin zone for each of the 230 space groups (SGs), the dimension of which corresponds to the number of bands that meet at the high-Symmetry point.
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Kubo formulas for viscosity: Hall viscosity, Ward identities, and the relation with conductivity

TL;DR: In this article, the authors derived from first principles the Kubo formula for the stress-stress response function at zero wave vector that can be used to define the full complex frequency-dependent viscosity tensor, both with and without a uniform magnetic field.
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Building blocks of topological quantum chemistry: Elementary band representations

TL;DR: In this paper, it was shown that the Wyckoff positions can be used to generate disconnected elementary band representations for spin-orbit coupled systems with time-reversal symmetry.