Mutual information and correlations across topological phase transitions in topologically ordered graphene zigzag nanoribbons
arXiv:2310.08970 · doi:10.3390/e25101449
Abstract
Graphene zigzag nanoribbons, initially in a topologically ordered state, undergo a topological phase transition into crossover phases distinguished by quasi-topological order. We computed mutual information for both the topologically ordered phase and its crossover phases, revealing the following results: (i) In the topologically ordered phase, A-chirality carbon lines strongly entangle with B-chirality carbon lines on the opposite side of the zigzag ribbon. This entanglement persists but weakens in crossover phases. (ii) The upper zigzag edge entangles with non-edge lines of different chirality on the opposite side of the ribbon. (iii) Entanglement increases as more carbon lines are grouped together, regardless of the lines' chirality. No long-range entanglement was found in the symmetry-protected phase in the absence of disorder.
arXiv commentA featured paper published in a special issue titled 'Entanglement Entropy and Quantum Phase Transitions' within the journal 'Entropy'. (This is the published version.)
References in corpus (25)
- The electronic properties of graphene
- Two-Dimensional Gas of Massless Dirac Fermions in Graphene
- Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
- The density-matrix renormalization group in the age of matrix product states
- Topological entanglement entropy
- Detecting topological order in a ground state wave function
- Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
- On-surface synthesis of graphene nanoribbons with zigzag edge topology
- Electronic States of Graphene Nanoribbons
- Calculation of reduced density matrices from correlation functions
- Area laws in quantum systems: mutual information and correlations
- Electronic structure and magnetic properties of graphitic ribbons
- Identifying Topological Order by Entanglement Entropy
- Direct observation of anyonic braiding statistics at the =1/3 fractional quantum Hall state
- Fractional statistics in anyon collisions
- Quantum Criticality
- What can gauge-gravity duality teach us about condensed matter physics?
- Theoretical Studies of Superconductor-Insulator Transitions
- Competition between Anderson localization and antiferromagnetism in correlated lattice fermion systems with disorder
- The role of the disorder range and electronic energy in the graphene nanoribbons perfect transmission
- Soliton fractional charge of disordered graphene nanoribbon
- Topologically ordered zigzag nanoribbon: fractional edge charge, spin-charge separation, and ground state degeneracy
- Effect of weak impurities on electronic properties of graphene: functional renormalization-group analysis
- Topological entanglement entropy of interacting disordered zigzag graphene ribbons
- New disordered anyon phase of doped graphene zigzag nanoribbon