# Quantum phase transitions of topological insulators without gap closing.

@article{Rachel2016QuantumPT, title={Quantum phase transitions of topological insulators without gap closing.}, author={S. Rachel}, journal={Journal of physics. Condensed matter : an Institute of Physics journal}, year={2016}, volume={28 40}, pages={ 405502 } }

We consider two-dimensional Chern insulators and time-reversal invariant topological insulators and discuss the effect of perturbations breaking either particle-number conservation or time-reversal symmetry. The appearance of trivial mass terms is expected to cause quantum phase transitions into trivial phases when such a perturbation overweighs the topological term. These phase transitions are usually associated with a bulk-gap closing. In contrast, the chiral Chern insulator is unaffected by… Expand

#### 8 Citations

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Optimizing Topological Switching in Confined 2D-Xene Nanoribbons via Finite-Size Effects

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- Physics, Medicine
- Journal of physics. Condensed matter : an Institute of Physics journal
- 2021

It is found that the ground state assumes an anti-ferromagnetic configuration, which breaks the time reversal symmetry spontaneously and renders the superconductor topologically trivial. Expand

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- Physics, Mathematics
- 2017

We demonstrate that a large class of first-order quantum phase transitions, namely, transitions in which the ground state energy per particle is continuous but its first order derivative has a jump… Expand

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Finite topologically non-trivial systems are often characterised by the presence of bound states at their physical edges. These topological edge modes can be distinguished from usual Shockley waves… Expand

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A topological insulator doped with random magnetic impurities is studied. The system is modelled by the Kane-Mele model with a random spin exchange between conduction electrons and magnetic dopants.… Expand

Influence of point defects on the electronic and topological properties of monolayer
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- 2020

In some topological insulators such as monolayers of ${\mathrm{WTe}}_{2}$ or graphene with spin-orbit coupling, band inversion originates from chemical bonding and space group symmetry, in contrast… Expand

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