# Topological transition of Dirac points in a microwave experiment.

@article{Bellec2013TopologicalTO, title={Topological transition of Dirac points in a microwave experiment.}, author={Matthieu Bellec and Ulrich Kuhl and G. Montambaux and Fabrice Mortessagne}, journal={Physical review letters}, year={2013}, volume={110 3}, pages={ 033902 } }

By means of a microwave tight-binding analogue experiment of a graphenelike lattice, we observe a topological transition between a phase with a pointlike band gap characteristic of massless Dirac fermions and a gapped phase. By applying a controlled anisotropy on the structure, we investigate the transition directly via density of states measurements. The wave function associated with each eigenvalue is mapped and reveals new states at the Dirac point, localized on the armchair edges. We find…

## 116 Citations

### Diffusion of Dirac fermions across a topological merging transition in two dimensions

- Physics
- 2016

A continuous deformation of a Hamiltonian possessing at low energy two Dirac points of opposite chiralities can lead to a gap opening by merging the two Dirac points. In two dimensions, the critical…

### Topological obstructed atomic limit by annihilating Dirac fermions

- Physics
- 2020

We show that annihilating a pair of Dirac fermions implies a topological transition from the critical semi-metallic phase to an Obstructed Atomic Limit (OAL) insulator phase instead of a trivial…

### Disordered graphene and boron nitride in a microwave tight-binding analog

- Physics
- 2013

Experiments on hexagonal graphene-like structures using microwave measuring techniques are presented. The lowest transverse-electric resonance of coupled dielectric disks sandwiched between two…

### Tuning Insulator-Semimetal Transitions in 3D Topological Insulator thin Films by Intersurface Hybridization and In-Plane Magnetic Fields.

- PhysicsPhysical review letters
- 2019

Transport studies on thin films of BiSbTeSe_{2}, which is a 3D topological insulator that hosts spin-helical gapless (semimetallic) Dirac fermion surface states for sufficiently thick samples, observe a transition from metallic to insulating behavior, consistent with the expectation that the Dirac cones from the top and bottom surfaces hybridize to give a trivial gapped insulator.

### Matter waves in atomic artificial graphene

- Physics
- 2014

We present a new model to realize artificial 2D lattices with cold atoms investigating the atomic artificial graphene: a 2D confined matter wave is scattered by atoms of a second species trapped…

### Topological obstructed atomic limit insulators by annihilating Dirac fermions

- Physics
- 2021

We show that annihilating a pair of Dirac fermions implies a topological transition from the critical semimetallic phase to an obstructed atomic limit insulator phase instead of a trivial insulator.…

### Phase transition of non-Hermitian topological edge states in microwave regime

- Physics
- 2020

Recent advances in non-Hermitian topological phases have exploited the unusual features in photonics systems. In particular, the coupling effect and parity–time (PT) symmetry have been found to…

### Dirac states in an inclined two-dimensional Su-Schrieffer-Heeger model

- PhysicsPhysical Review Research
- 2022

We propose to realize Dirac states in an inclined two-dimensional Su-Schrieﬀer-Heeger model on a square lattice. We show that a pair of Dirac points protected by space-time inversion symmetry appear…

### Partial chiral symmetry-breaking as a route to spectrally isolated topological defect states in two-dimensional artificial materials

- Physics
- 2015

Bipartite quantum systems from the chiral universality classes admit topologically protected zero modes at point defects. However, in two-dimensional systems these states can be difficult to separate…

### Anisotropic quantum spin Hall effect, spin-orbital textures, and the Mott transition

- Physics
- 2013

We investigate the interplay between topological effects and Mott physics in two dimensions on a graphene-like lattice, via a tight-binding model containing an anisotropic spin-orbit coupling on the…

## References

SHOWING 1-10 OF 41 REFERENCES

### Phys

- Rev. B 87, 035101
- 2013

### and F

- Mortessagne,
- 2012

### and F

- Mortessagne, to be submitted
- 2012

### J. Phys. Soc. Jpn. Phys. Rev. B

- J. Phys. Soc. Jpn. Phys. Rev. B
- 2006

### Phys. Rev. Lett

- Phys. Rev. Lett
- 2007

### and D

- Christodoulides, Phys. Rev. Lett. 98, 103901
- 2007

### Phys. Rev. B

- Phys. Rev. B
- 2013

### Phys. Rev. B

- Phys. Rev. B
- 2010

### Phys

- Rev. Lett. 98, 103901
- 2007

### Nature (London) 483

- 306
- 2012