Strongly Correlated Topological Superconductors and Topological Phase Transitions via Green's Function
arXiv:1204.3149 · doi:10.1103/PhysRevB.86.165116
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.
arXiv comment10 pages. Published version
References in corpus (38)
- Topological Insulators
- Topological insulators and superconductors
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Topological Order and the Quantum Spin Hall Effect
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Topological Insulators in Three Dimensions
- Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
- Classification of topological insulators and superconductors in three spatial dimensions
- Topological Field Theory of Time-Reversal Invariant Insulators
- Topological invariants of time-reversal-invariant band structures
- The quantum spin Hall effect and topological insulators
- Mott physics and band topology in materials with strong spin-orbit interaction
- Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
- Topological Kondo Insulators
- Topological Superconductivity and Superfluidity
- Topological Mott Insulators
- Unparticle Physics
- The effects of interactions on the topological classification of free fermion systems
- Dynamical Axion Field in Topological Magnetic Insulators
- Quantum spin Hall effect in a transition metal oxide Na2IrO3
- Single particle Green's functions and interacting topological insulators
- Topological Insulators and Mott Physics from the Hubbard Interaction
- Electromagnetic and gravitational responses and anomalies in topological insulators and superconductors
- Exciton condensation and charge fractionalization in a topological insulator film
- Simplified topological invariants for interacting insulators
- Topological Order Parameters for Interacting Topological Insulators
- Topological insulators in three dimensions from spontaneous symmetry breaking
- Correlation effects on 3D topological phases: from bulk to boundary
- Topological field theory and thermal responses of interacting topological superconductors
- Equivalent topological invariants of topological insulators
- Actinide Topological Insulator Materials with Strong Interaction
- Topological invariants for interacting topological insulators with inversion symmetry
- Correlation effects on a topological insulator at finite temperatures
- Unified Formalism for calculating Polarization, Magnetization, and more in a Periodic Insulator
- Topological Hubbard model and its high-temperature quantum Hall effect
- Interaction induced topological phase transition in Bernevig-Hughes-Zhang model
- Pole expansion of self-energy and interaction effect on topological insulators
- Frequency domain winding number and interaction effect on topological insulators
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- Wave Function and Strange Correlator of Short Range Entangled states
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- Fluctuation driven topological Hund insulators
- Exotic Quantum Phase Transitions of Dirac fermions
- Symmetric Mass Generation
- Interacting Weyl semimetals: characterization via the topological Hamiltonian and its breakdown
- Interaction-driven transition between topological states in a Kondo insulator
- Un-Fermi Liquids: Unparticles in Strongly Correlated Electron Matter
- The characterization of topological properties in Quantum Monte Carlo simulations of the Kane-Mele-Hubbard model
- Topological invariant for generic 1D time reversal symmetric superconductors in class DIII
- Helical Spin Order from Topological Dirac and Weyl Semimetals
- Topological invariants for interacting topological insulators: II. Breakdown of the Green's function formalism
- Mechanism, time-reversal symmetry and topology of superconductivity in noncentrosymmetric systems
- Topological number and Fermion Green's function of Strongly Interacting Topological Superconductors
- Bridging the gap between topological non-Hermitian physics and open quantum systems
- Holographic correspondence in topological superconductors
- Renormalization group flows for Wilson-Hubbard matter and the topological Hamiltonian
- Doping phase diagram of a Hubbard model for twisted bilayer cuprates
- Topological invariants for interacting topological insulators: I. Efficient numerical evaluation scheme and implementations
- Topological Invariants and Ground-State Wave Functions of Topological Insulators on a Torus
- Strong Coupling Expansion of the Extended Hubbard Model with Spin-Orbit Coupling
- Topological superconductivity in EuS/Au/superconductor heterostructures
- Large- Chern insulators: lattice field theory and quantum simulation approaches to correlation effects in the quantum anomalous Hall effect
- Generalization of spectral bulk-boundary correspondence
- Correlation Effects in Quadrupole Insulators: a Quantum Monte Carlo Study
- Optical -insulators: topological obstructions in the atomistic susceptibility tensor
- Parity-mixing superconducting phase in the Rashba-Hubbard model and its topological properties from dynamical mean field theory
- Topological Green function of interacting systems
- Spin texture in a bilayer high-temperature cuprate superconductor
- Stability of the coexistence phase of chiral superconductivity and noncollinear spin ordering with a nontrivial topology and strong electron correlations
- Calculations of in-gap states of ferromagnetic spin chains on \textit{s}-wave wide-band superconductors
- Effects of short-ranged interactions on the Kane-Mele model without discrete particle-hole symmetry
- Green's Function Approach to Interacting Higher-order Topological Insulators
- Topological Quantum Critical Points in Strong Coupling limits: Global Symmetries and Strongly Interacting Majorana Fermions
- Quantum Monte Carlo study of topological phases on a spin analogue of Benalcazar-Bernevig-Hughes model
- On the Sign of Fermion-Mediated Interactions
- Induced topological order at the boundary of 3D topological superconductors
- Short-ranged interaction effects on topological phase transitions
- ~Green's function topology of Majorana wires
- Reduction of classification of a two-dimensional weak topological insulator - real-space DMFT study -
- Subgap states at ferromagnetic and spiral-ordered magnetic chains in two-dimensional superconductors. II. Topological classification
- Magnetic and topological transitions in three-dimensional topological Kondo insulator
- Short-ranged interaction effects on topological phase transitions: The perturbative mean-field method
- Topological invariants in terms of Green's function for the interacting Kitaev chain
- Phase Diagram of a Spin-Orbit Coupled Fermi Gases in a Bilayer Optical Lattice
- Topological superfluids in two-dimensional Fermi gas with Rashba spin-orbit coupling
- Odd-frequency superfluidity from a particle-number-conserving perspective
- Phase Transition of Topological Index driven by Dephasing