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Topological classification of crystalline insulators through band structure combinatorics
Jorrit Kruthoff, Jan de Boer, Jasper van Wezel +2
We present a method for efficiently enumerating all allowed, topologically distinct, electronic band structures within a given crystal structure. The algorithm applies to crystals…
Global Phase Diagram of a Dirty Weyl Liquid and Emergent Superuniversality
Bitan Roy, Robert-Jan Slager, Vladimir Juricic
Pursuing complementary field-theoretic and numerical methods, we here paint the global phase diagram of a three-dimensional dirty Weyl system. The generalized Harris criterion, aug…
Hierarchy of orientational phases and axial anisotropies in the gauge theoretical description of generalized nematics
Ke Liu, Jaakko Nissinen, Josko de Boer +2
The paradigm of spontaneous symmetry breaking encompasses the breaking of the rotational symmetries of isotropic space to a discrete subgroup, i.e. a three-dimensional point…
Classification of point-group-symmetric orientational ordering tensors
Jaakko Nissinen, Ke Liu, Robert-Jan Slager +2
The concept of symmetry breaking has been a propelling force in understanding phases of matter. While rotational symmetry breaking is one of the most prevalent examples, the rich l…
Dual gauge field theory of quantum liquid crystals in two dimensions
Aron J. Beekman, Jaakko Nissinen, Kai Wu +5
We present a self-contained review of the theory of dislocation-mediated quantum melting at zero temperature in two spatial dimensions. The theory describes the liquid-crystalline…