non-hermitian-ssh-charge-correlations

# Non-Hermitian SSH Model Charge Correlations **Paper**: arXiv:2606.06466 - "Enhancement of charge correlations and real-space topological marker on an interacting non-Hermitian Su-Schrieffer-Heeger model" **Authors**: Sebastião dos A. Sousa-Júnior et al. **Date**: 2026-06-04 ## Core Methodology Investigation of **topology-charge ordering interplay** in interacting non-Hermitian SSH model with: - Real-space topological marker diagnostics - Enhanced charge correlations near exceptional points - Open boundary condition amplification ## Key Findings ### Topological Phase Mapping - **Real-space topological marker**: Robust diagnostic of non-Hermitian topological phases - **Interaction presence**: Marker remains reliable under interactions - **CDW onset**: Marker signals topological phase breakdown ### Non-Hermiticity Enhancement **Open boundary conditions (OBC)** lead to: - **Pronounced amplification** of staggered charge correlations - Enhanced interaction effects near exceptional points - **Electronic instabilities** promoted by low-energy state accumulation ### Periodic vs Open Boundary Conditions - **Periodic boundary conditions (PBC)**: Moderate changes - **Open boundary conditions (OBC)**: Dramatic enhancement - **Key difference**: Exceptional point proximity effects ## Technical Framework ### SSH Model with Non-Hermiticity - **Standard SSH**: Hermitian Su-Schrieffer-Heeger model - **Non-Hermitian extension**: Complex hopping terms - **Interactions**: Charge ordering effects included ### Phase Diagnostics 1. **Topological marker**: Real-space diagnostic 2. **Charge correlations**: Staggered density measurements 3. **Complex spectrum**: Many-body eigenvalue analysis 4. **Phase diagram**: Topology vs CDW mapping ### Exceptional Point Effects - **Low-energy state accumulation**: Near exceptional points - **Electronic instabilities**: Enhanced by exceptional point proximity - **CDW strengthening**: Amplified charge density wave tendencies ## Key Results ### Topological Robustness - Topological marker works under interactions - Consistent signal for topological phase breakdown - Reliable diagnostic for non-Hermitian topology ### Boundary Condition Effects - OBC dramatically enhances charge correlations - PBC shows moderate effects - Exceptional points amplify differences ### Interaction Enhancement - Non-Hermiticity amplifies interaction effects - CDW onset strengthened near exceptional points - Electronic instabilities promoted ## Implementation Approach ### Phase Diagram Construction 1. Calculate real-space topological marker 2. Measure charge correlations 3. Analyze complex many-body spectrum 4. Map topology vs CDW phases ### Boundary Condition Study - Compare PBC vs OBC results - Analyze exceptional point effects - Measure correlation amplification ## Research Applications - Non-Hermitian topology studies - Charge ordering in quantum systems - Exceptional point physics - Topological phase transitions - Interacting non-Hermitian systems ## Related Skills - [[non-hermitian-quantum-systems]] - Non-Hermitian physics - [[topological-quantum-states]] - Topology in quantum systems - [[exceptional-points-quantum]] - Exceptional point phenomena ## References - arXiv:2606.06466 - Original paper - SSH model literature - Su-Schrieffer-Heeger model - Non-Hermitian topology - Exceptional points and topology **Activation**: non-hermitian, SSH-model, topology, charge-correlations, exceptional-points, CDW