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Microscopic realization of two-dimensional bosonic topological insulators
Zheng-Xin Liu1, Zheng-Cheng Gu2, Xiao-Gang Wen3
1Institute for Advanced Study, Tsinghua University, Beijing 100084, People's Republic of China and Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5 Canada.
Physical Review Letters
|January 24, 2015
Summary
Researchers discovered a new bosonic topological insulator (BTI) by engineering vortex interactions. This exotic state exhibits protected boundary excitations and unique defect properties, potentially realizable in cold atom or solid-state systems.
Area of Science:
- Condensed matter physics
- Topological phases of matter
- Quantum magnetism
Background:
- Bosonic Mott insulators are typically trivial under time reversal symmetry.
- Vortices in condensates usually transform into antivortices and vice versa.
- Standard vortex condensation leads to a trivial Mott insulator state.
Purpose of the Study:
- To explore the possibility of realizing a bosonic topological insulator (BTI).
- To investigate the role of spin-vortex interactions in creating novel topological states.
- To identify potential experimental platforms for realizing such a phase.
Main Methods:
- Theoretical analysis of composite vortex operators with spin-bound cores.
- Investigation of symmetry properties under time reversal transformation.
- Proposal of lattice model Hamiltonians for experimental realization.
Main Results:
- A composite vortex condensed state exhibits bosonic topological insulator properties.
- The BTI phase possesses gapless boundary excitations protected by U(1)⋊Z2(T) symmetry.
- External π-flux monodromy defects in the BTI host a Kramers doublet.
Conclusions:
- Spin-vortex interactions are key to realizing non-trivial bosonic topological phases.
- The proposed BTI state offers a new avenue for studying topological matter.
- Cold atom and spin-1 solid-state systems are promising candidates for experimental implementation.
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