Mutual information and correlations across topological phase transitions
in topologically ordered graphene zigzag nanoribbons
- URL: http://arxiv.org/abs/2310.08970v2
- Date: Sat, 21 Oct 2023 04:54:09 GMT
- Title: Mutual information and correlations across topological phase transitions
in topologically ordered graphene zigzag nanoribbons
- Authors: In-Hwan Lee, Hoang-Anh Le, and S.-R. Eric Yang
- Abstract summary: Graphene zigzag nanoribbons undergo a topological phase transition into crossover phases distinguished by quasi-topological order.
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.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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.
Related papers
- Entanglement phase transitions in non-Hermitian Kitaev chains [0.0]
Loss-induced entanglement transitions are found in non-Hermitian topological superconductors.
Log-law to log-law and log-law to area-law entanglement phase transitions are identified when the system switches between different topological phases.
arXiv Detail & Related papers (2024-02-05T13:39:19Z) - Probing quantum floating phases in Rydberg atom arrays [61.242961328078245]
We experimentally observe the emergence of the quantum floating phase in 92 neutral-atom qubits.
The site-resolved measurement reveals the formation of domain walls within the commensurate ordered phase.
As the experimental system sizes increase, we show that the wave vectors approach a continuum of values incommensurate with the lattice.
arXiv Detail & Related papers (2024-01-16T03:26:36Z) - Phase Diagram and Crossover Phases of Topologically Ordered Graphene Zigzag Nanoribbons: Role of Localization Effects [0.0]
We computed the phase diagram of the graphene nanoribbons as a function of on-site repulsion, doping, and disorder strength.
We found that strong on-site repulsion and/or doping weakens the nonlocal correlations between the opposite zigzag edges.
In low-doped zigzag ribbons the interplay between electron localization and on-site repulsion contributes to the spatial separation of quasi-degenerate gap-edge states.
arXiv Detail & Related papers (2023-07-10T05:25:37Z) - Softening of Majorana edge states by long-range couplings [77.34726150561087]
Long-range couplings in the Kitaev chain is shown to modify the universal scaling of topological states close to the critical point.
We prove that the Majorana states become increasingly delocalised at a universal rate which is only determined by the interaction range.
arXiv Detail & Related papers (2023-01-29T19:00:08Z) - Phase diagram of Rydberg-dressed atoms on two-leg triangular ladders [50.591267188664666]
We investigate the phase diagram of hard-core bosons in a triangular ladder with next-to-nearest-neighbor interaction along each leg.
For weak interactions, Abelian bosonization predicts a spin density wave and a fully gapless Luttinger liquid phase.
The competition with the zigzag interaction generates a charge density wave, a 'polarized holonic' phase, and a crystalline phase at the filling 2/5.
arXiv Detail & Related papers (2022-07-01T12:49:04Z) - Phase diagram of Rydberg-dressed atoms on two-leg square ladders:
Coupling supersymmetric conformal field theories on the lattice [52.77024349608834]
We investigate the phase diagram of hard-core bosons in two-leg ladders in the presence of soft-shoulder potentials.
We show how the competition between local and non-local terms gives rise to a phase diagram with liquid phases with dominant cluster, spin, and density-wave quasi-long-range ordering.
arXiv Detail & Related papers (2021-12-20T09:46:08Z) - Topological transitions with continuously monitored free fermions [68.8204255655161]
We show the presence of a topological phase transition that is of a different universality class than that observed in stroboscopic projective circuits.
We find that this entanglement transition is well identified by a combination of the bipartite entanglement entropy and the topological entanglement entropy.
arXiv Detail & Related papers (2021-12-17T22:01:54Z) - Quantum phase transition in the one-dimensional Dicke-Hubbard model with
coupled qubits [20.002319486166016]
We study the ground state phase diagram of a one-dimensional two qubits Dicke-Hubbard model with XY qubit-qubit interaction.
arXiv Detail & Related papers (2021-11-05T13:17:49Z) - Edge-state influence on high-order harmonic generation in topological
nanoribbons [0.0]
The high-order harmonic generation in finite topological nanoribbons is investigated using a tight-binding description.
The energies of those edge states as functions of the tight-binding parameters display crossings and avoided crossings, which influence the high-harmonic spectra.
arXiv Detail & Related papers (2021-03-26T18:20:02Z) - Simulation of Higher-Order Topological Phases and Related Topological
Phase Transitions in a Superconducting Qubit [13.847665374507876]
We simulate a two-dimensional second-order topological phase in a superconducting qubit.
We observe the realization of higher-order topology directly through the measurement of the pseudo-spin texture in momentum space of the bulk.
Our work sheds new light on the study of higher-order topological phases and topological phase transitions.
arXiv Detail & Related papers (2020-01-12T14:01:12Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.