Quasiparticle picture of topological phase transitions induced by interactions
arXiv:2503.01367 · doi:10.1103/PhysRevResearch.7.033116
Abstract
We present a general recipe to describe topological phase transitions in condensed matter systems with interactions. We show that topological invariants in the presence of interactions can be efficiently calculated by means of a non-Hermitian quasiparticle Hamiltonian introduced on the basis of the Green's function. As an example analytically illustrating the application of the quasiparticle concept, we consider a topological phase transition induced by the short-range electrostatic disorder in a two dimensional system described by the Bernevig-Hughes-Zhang model. The latter allows us to explicitly demonstrate the change in the topological invariant and explain the quantized values of the longitudinal conductance in a certain range of the Fermi energy and the disorder strength found previously in numerical calculations.
12 pages, 3 figures
References in corpus (67)
- Topological Insulators
- Topological insulators and superconductors
- Quantum Spin Hall Effect in Graphene
- 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
- Topological Insulators with Inversion Symmetry
- Topological invariants of time-reversal-invariant band structures
- Edge states and topological invariants of non-Hermitian systems
- Symmetry and Topology in Non-Hermitian Physics
- Topological Band Theory for Non-Hermitian Hamiltonians
- Anomalous edge state in a non-Hermitian lattice
- Non-Hermitian Chern bands
- Topological Kondo Insulators
- Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
- Topological Mott Insulators
- Topological Anderson Insulator
- Second-Order Topological Phases in Non-Hermitian Systems
- Theory of the topological Anderson insulator
- Quantum spin Hall effect in a transition metal oxide Na2IrO3
- Well-localized edge states in two-dimensional topological insulators: ultrathin Bi films
- Single particle Green's functions and interacting topological insulators
- Topological Insulators and Mott Physics from the Hubbard Interaction
- Single valley Dirac fermions in zero-gap HgTe quantum wells
- On the classification of Quantum Spin Hall Models
- Bulk-boundary correspondence of topological insulators from their Green's functions
- Topological unification of time-reversal and particle-hole symmetries in non-Hermitian physics
- Exciton condensation and charge fractionalization in a topological insulator film
- Simplified topological invariants for interacting insulators
- Topological Order Parameters for Interacting Topological Insulators
- Topological invariants and phase diagrams for one-dimensional two-band non-Hermitian systems without chiral symmetry
- Hall Conductance of a Non-Hermitian Chern Insulator
- First order character and observable signatures of topological quantum phase transitions
- Characterization of a topological Mott insulator in one dimension
- Topological Hamiltonian as an Exact Tool for Topological Invariants
- Pressure and temperature driven phase transitions in HgTe quantum wells
- Fluctuation driven topological Hund insulators
- Topological invariants for interacting topological insulators with inversion symmetry
- Time-Reversal Symmetry in Non-Hermitian Systems
- Fluctuation-induced Topological Quantum Phase Transitions in Quantum Spin Hall and Quantum Anomalous Hall Insulators
- Loss of Hall Conductivity Quantization in a Non-Hermitian Quantum Anomalous Hall Insulator
- Temperature-induced topological phase transition in HgTe quantum wells
- Temperature-driven single-valley Dirac fermions in HgTe quantum wells
- Phonon-induced topological insulation
- Phase transitions in two tunnel-coupled HgTe quantum wells. Bilayer graphene analogy and beyond
- Topological phase transition in a generalized Kane-Mele-Hubbard model: A combined Quantum Monte Carlo and Green's function study
- Topology and Observables of the Non-Hermitian Chern Insulator
- Large gap quantum spin Hall insulator, massless Dirac fermions and bilayer graphene analogue in InAs/Ga(In)Sb heterostructures
- Topological Insulator in the Presence of Spatially Correlated Disorder
- Realistic picture of helical edge states in HgTe quantum wells
- Unified role of Green's function poles and zeros in topological insulators
- Connecting the Many-Body Chern Number to Luttinger's Theorem through Středa's Formula
- Topological invariants for interacting topological insulators: II. Breakdown of the Green's function formalism
- Temperature-dependent magnetospectroscopy of HgTe quantum wells
- Massless Dirac fermions in III-V semiconductor quantum wells
- Electronic properties, correlated topology and Green's function zeros
- Topological invariants for interacting topological insulators: I. Efficient numerical evaluation scheme and implementations
- Perspectives of HgTe Topological Insulators for Quantum Hall Metrology
- Exact Solutions Disentangle Higher-Order Topology in 2D Non-Hermitian Lattices
- Engineering non-Hermitian Second Order Topological Insulator in Quasicrystals
- Disorder-induced phase transition in Dirac systems beyond the linear approximation
- Topological Green function of interacting systems
- Many-particle effects in optical transitions from zero-mode Landau levels in HgTe quantum wells
- Disorder-induced topological phase transition in HgCdTe crystals
- Multi-probe analysis to separate edge currents from bulk currents in quantum spin Hall insulators and to analyze their temperature dependence
- Disorder-induced phase transitions in double HgTe quantum wells