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Topology of Disconnected Elementary Band Representations
Jennifer Cano, Barry Bradlyn, Zhijun Wang +5
Elementary band representations are the fundamental building blocks of atomic limit band structures. They have the defining property that at partial filling they cannot be both gap…
Structure of the Entanglement Entropy of (3+1)D Gapped Phases of Matter
Yunqin Zheng, Huan He, Barry Bradlyn +3
We study the entanglement entropy of gapped phases of matter in three spatial dimensions. We focus in particular on size-independent contributions to the entropy across entanglemen…
Band Connectivity for Topological Quantum Chemistry: Band Structures As A Graph Theory Problem
Barry Bradlyn, L. Elcoro, M. G. Vergniory +5
The conventional theory of solids is well suited to describing band structures locally near isolated points in momentum space, but struggles to capture the full, global picture nec…
Building Blocks of Topological Quantum Chemistry: Elementary Band Representations
Jennifer Cano, Barry Bradlyn, Zhijun Wang +5
The link between chemical orbitals described by local degrees of freedom and band theory, which is defined in momentum space, was proposed by Zak several decades ago for spinless s…
Graph Theory Data for Topological Quantum Chemistry
M. G. Vergniory, L. Elcoro, Zhijun Wang +5
Topological phases of noninteracting particles are distinguished by global properties of their band structure and eigenfunctions in momentum space. On the other hand, group theory…
Double crystallographic groups and their representations on the Bilbao Crystallographic Server
Luis Elcoro, Barry Bradlyn, Zhijun Wang +7
A new section of databases and programs devoted to double crystallographic groups (point and space groups) has been implemented in the Bilbao Crystallographic Server (http://www.cr…