Non-abelian Berry's phase and Chern numbers in higher spin pairing condensates
arXiv:cond-mat/0310089 · doi:10.1103/PhysRevB.69.214512
Abstract
We show that the non-Abelian Berry phase emerges naturally in the s-wave and spin quintet pairing channel of spin-3/2 fermions. The topological structure of this pairing condensate is characterized by the second Chern number. This topological structure can be realized in ultra-cold atomic systems and in solid state systems with at least two Kramers doublets.
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- Observation of a non-Abelian Yang Monopole: From New Chern Numbers to a Topological Transition
- Symmetry protected Z2-quantization and quaternionic Berry connection with Kramers degeneracy
- Spin-quadrupole ordering of spin-3/2 ultracold fermionic atoms in optical lattices in the one-band Hubbard model
- The Geometric Phase in Supersymmetric Quantum Mechanics
- The Berry Phase of D0-Branes
- Quintet pairing and non-Abelian vortex string in spin-3/2 cold atomic systems
- Non-Abelian Berry Phases and BPS Monopoles
- Non-Abelian monopoles in the multiterminal Josephson effect
- Mott insulating phases and quantum phase transitions of interacting spin-3/2 fermionic cold atoms in optical lattices at half filling
- The Geometric Phase and Gravitational Precession of D-Branes
- Yang monopoles and emergent three-dimensional topological defects in interacting bosons
- Nonequilibrium charge density wave ordering from anomalous velocity in itinerant helical magnets
- Non-relativistic fermionic energy gap in the non-abelian gauge systems