Topological field theory and thermal responses of interacting topological superconductors

2010/11/30 by Zhong Wang, Xiao-Liang Qi, Shou-Cheng Zhang · 125 citations
Materials Science · Mathematics · Physics and Astronomy · #Field (mathematics) #Geometry #Graphene research and applications #Invariant (physics) #Mathematics #Pairing #Physics #Pure mathematics #Quantum #Quantum many-body systems #Quantum mechanics #Superconductivity #Surface (topology) #Symmetry protected topological order #Topological Materials and Phenomena #Topological degeneracy #Topological entropy in physics #Topological order #Topological quantum field theory #Topological quantum number #Topology (electrical circuits) #cond-mat.str-el #cond-mat.supr-con #hep-th

paper · pdf · doi:10.1103/physrevb.84.014527

published in Physical Review B 84(1) (American Physical Society) · 5 pages,1 figure. Slightly modified version. Title is changed

arxiv created 2011/07/28 · openalex publication_date 2011/07/28 · arxiv updated 2011/07/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We investigate the three-dimensional, time-reversal invariant topological superconductors with generic interaction by their response to external fields. The first description is a gravitational topological field theory, which gives a Z₂ classification of topological superconductors, and predicts a half quantized thermal Hall effect on the surface. The second description introduces an s-wave proximity pairing field on the surface, and the associated topological defects give an integer Z classification of the topological superconductors.

Citations

• Topological field theory of time-reversal invariant insulators
• Topological phases and the quantum spin Hall effect in three dimensions
• Z2classification of quantum spin Hall systems: An approach using time-reversal invariance
• Quantum Gravity and World Topology
• Classification of topological insulators and superconductors in three spatial dimensions
• Quantum Spin Hall Effect in Graphene
• Topological Insulators with Inversion Symmetry
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Inducing a Magnetic Monopole with Topological Surface States
• The birth of topological insulators
• Topological Insulators

Cited by

• Limits of thermal conductance quantization in chiral topological Josephson junctions
• Boundary Witten effect in multi-axion insulators
• Effective field theories for topological insulators by functional bosonization
• Majorana Fermions and Topology in Superconductors
• The Chiral Heat Effect
• Electromagnetic and gravitational responses of two-dimensional noninteracting electrons in a background magnetic field