Electronic polarization in non-Bloch band theory

Abstract

Hermitian topological materials are characterized by the nontrivial relation between topological numbers and edge modes, i.e. the bulk-boundary correspondence. In non-Hermitian systems, the conventional correspondence breaks down. Instead, in the non-Hermitian Su-Schrieffer-Heeger model, the non-Bloch bulk-boundary correspondence, which is the relation between the non-Bloch winding number and the non-Hermitian skin effect, is proposed by S. Yao and Z. Wang. We introduce the non-Bloch polarization as a topological quantity to detect the non-Hermitian skin effect. Moreover, we also discuss the non-Bloch bulk-boundary correspondence in two-dimensional systems using the non-Bloch polarization with spiral boundary conditions.

arXiv comment6 pages, 6 figures

References in corpus (38)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Topological Insulators in Three Dimensions
• Classification of topological insulators and superconductors in three spatial dimensions
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Edge states and topological invariants of non-Hermitian systems
• Quantum Spin Hall Effect
• Topological phases of non-Hermitian systems
• Symmetry and Topology in Non-Hermitian Physics
• Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
• Topological Origin of Non-Hermitian Skin Effects
• Topological Band Theory for Non-Hermitian Hamiltonians
• Anomalous edge state in a non-Hermitian lattice
• Non-Bloch Band Theory of Non-Hermitian Systems
• Non-Hermitian Chern bands
• Topological quantization of the spin Hall effect in two-dimensional paramagnetic semiconductors
• Non-Hermitian Boundary Modes
• The Quantum Spin Hall Effect: Theory and Experiment
• The Quantum-Mechanical Position Operator in Extended Systems
• Magnetization plateaus in spin chains: ``Haldane gap'' for half-integer spins
• Edge states and topological phases in non-Hermitian systems
• Electron Localization in the Insulating State
• Commensurability, excitation gap and topology in quantum many-particle systems on a periodic lattice
• Non-Bloch band theory of non-Hermitian Hamiltonians in the symplectic class
• Non-perturbative approach to Luttinger's theorem in one dimension
• Order Parameter to Characterize Valence-Bond-Solid States in Quantum Spin Chains
• Many-body approach to non-Hermitian physics in fermionic systems
• Quantum-Mechanical Position Operator and Localization in Extended Systems
• Sufficient Conditions for Topological Order in Insulators
• Quantized classical response from spectral winding topology
• Lattice Twisting Operators and Vertex Operators in Sine-Gordon Theory in One Dimension
• Phase Transitions and Generalized Biorthogonal Polarization in Non-Hermitian Systems
• A generalized boundary condition applied to Lieb-Schultz-Mattis type ingappabilities and many-body Chern numbers
• Symmetry Indicators for Inversion-Symmetric Non-Hermitian Topological Band Structures
• Polarization and entanglement spectrum in non-hermitian systems
• Characterization of topological insulators based on the electronic polarization with spiral boundary conditions
• Relationship between the Electronic Polarization and the Winding Number in Non-Hermitian Systems

Cited by in corpus (3)

• Topological Non-Hermitian skin effect
• Identifying gap-closings in open non-Hermitian systems by Biorthogonal Polarization
• Unified Bulk-Entanglement Correspondence in Non-Hermitian Systems