Topological phases of many-body non-Hermitian systems
arXiv:2311.03043 · doi:10.1103/PhysRevB.109.155434
Abstract
We show that many-body fermionic non-Hermitian systems require two distinct sets of topological invariants to describe the topology of energy bands and quantum states respectively, with the latter yet to be explored. We identify 10 symmetry classes -- determined by particle-hole, linearized time-reversal, and linearized chiral symmetries. Each class has topological invariant associated with each dimension, dictating the topology of quantum states. These findings pave the way for deeper understanding of the topological phases of many-body non-Hermitian systems.
References in corpus (53)
- Topological Insulators
- Topological insulators and superconductors
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Unpaired Majorana fermions in quantum wires
- Topological Insulators in Three Dimensions
- Topological Insulators with Inversion Symmetry
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- 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
- Helical liquids and Majorana bound states in quantum wires
- New directions in the pursuit of Majorana fermions in solid state systems
- Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
- Topological invariants of time-reversal-invariant band structures
- Topological insulators and superconductors: ten-fold way and dimensional hierarchy
- Edge states and topological invariants of non-Hermitian systems
- Non-abelian statistics of half-quantum vortices in p-wave superconductors
- Periodic table for topological insulators and superconductors
- Non-Abelian statistics and topological quantum information processing in 1D wire networks
- Topological superconductors: a review
- Topological phases of non-Hermitian systems
- Symmetry and Topology in Non-Hermitian Physics
- Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
- Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
- Correspondence between winding numbers and skin modes in non-hermitian systems
- Non-Hermitian Chern bands
- Non-Hermitian Boundary Modes
- Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order
- Anatomy of skin modes and topology in non-Hermitian systems
- Non-Hermitian robust edge states in one-dimension: Anomalous localization and eigenspace condensation at exceptional points
- Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
- Critical non-Hermitian Skin Effect
- Periodic Table for Topological Bands with Non-Hermitian Bernard-LeClair Symmetries
- Universal non-Hermitian skin effect in two and higher dimensions
- Geometrical meaning of winding number and its characterization of topological phases in one-dimensional chiral non-Hermitian systems
- Non-Hermitian skin modes induced by on-site dissipations and chiral tunneling effect
- Topological unification of time-reversal and particle-hole symmetries in non-Hermitian physics
- Information Retrieval and Criticality in Parity-Time-Symmetric Systems
- Entanglement entropy and the Berry phase in solid states
- Mixed-state evolution in the presence of gain and loss
- Continuous Phase Transition without Gap Closing in Non-Hermitian Quantum Many-Body Systems
- Emergent Fermi surface in a many-body non-Hermitian Fermionic chain
- Many-body approach to non-Hermitian physics in fermionic systems
- Full-Counting Many-Particle Dynamics: Nonlocal and Chiral Propagation of Correlations
- Fate of the non-Hermitian skin effect in many-body fermionic systems
- Non-Hermitian skin effect as an impurity problem
- Hermitian and Non-Hermitian Topology from Photon-Mediated Interactions
- Topological phase diagrams of exactly solvable non-Hermitian interacting Kitaev chains
- Statistical mechanics for non-Hermitian quantum systems
- Many-body Non-Hermitian Skin Effect At Finite Temperatures
- Transfer learning from Hermitian to non-Hermitian quantum many-body physics