<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mi>Q</mml:mi></mml:msub></mml:math> Berry phase for higher-order symmetry-protected topological phases
Hiromu Araki, Tomonari Mizoguchi, Yasuhiro Hatsugai
Abstract
The authors propose that the quantized Berry phase serves as a many-body topological invariant that characterizes the higher-order symmetry-protected topological phases in two- and three-dimensions, and provides a clear insight of bulk-corner correspondence. The quantized Berry phase has wide applicability ranging from fermionic models with and without interactions to spin models.
Topics & Concepts
Geometric phaseBerry connection and curvatureInvariant (physics)PhysicsTopology (electrical circuits)Phase (matter)Topological entropy in physicsTopological orderMathematicsTheoretical physicsTopological quantum numberContext (archaeology)Symmetry protected topological orderQuantum mechanicsSpin (aerodynamics)FermionTopological Materials and PhenomenaQuantum Mechanics and Non-Hermitian PhysicsGraphene research and applications