Strongly Correlated Topological Superconductors and Topological Phase Transitions via Green's Function

Abstract

We propose several topological order parameters expressed in terms of Green's function at zero frequency for topological superconductors, which generalizes the previous work for interacting insulators. The coefficient in topological field theory is expressed in terms of zero frequency Green's function. We also study topological phase transition beyond noninteracting limit in this zero frequency Green's function approach.

10 pages. Published version

References in corpus (12)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Classification of topological insulators and superconductors in three spatial dimensions
• Topological Field Theory of Time-Reversal Invariant Insulators
• Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
• Topological Mott Insulators
• Unparticle Physics
• Quantum spin Hall effect in a transition metal oxide Na2IrO3
• Exciton condensation and charge fractionalization in a topological insulator film
• Simplified topological invariants for interacting insulators
• Topological field theory and thermal responses of interacting topological superconductors
• Interaction induced topological phase transition in Bernevig-Hughes-Zhang model

Cited by in corpus (15)

• Correlation effects in two-dimensional topological insulators
• Topological invariants and interacting one-dimensional fermionic systems
• Symmetric Mass Generation
• Interacting Weyl semimetals: characterization via the topological Hamiltonian and its breakdown
• Topological number and Fermion Green's function of Strongly Interacting Topological Superconductors
• Renormalization group flows for Wilson-Hubbard matter and the topological Hamiltonian
• Stability of the coexistence phase of chiral superconductivity and noncollinear spin ordering with a nontrivial topology and strong electron correlations
• Green's Function Approach to Interacting Higher-order Topological Insulators
• Induced topological order at the boundary of 3D topological superconductors
• Short-ranged interaction effects on $Z_2$ topological phase transitions
• Reduction of $\mathbb{Z}$ classification of a two-dimensional weak topological insulator - real-space DMFT study -
• Short-ranged interaction effects on $Z_2$ topological phase transitions: The perturbative mean-field method
• Topological superfluids in two-dimensional Fermi gas with Rashba spin-orbit coupling
• Phase Transition of Topological Index driven by Dephasing
• Odd-frequency superfluidity from a particle-number-conserving perspective