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Dirac edges of fractal magnetic minibands in graphene with hexagonal moire superlattices
Xi Chen, J. R. Wallbank, A. A. Patel +3
We find a systematic reappearance of massive Dirac features at the edges of consecutive minibands formed at magnetic fields B_{p/q}= pϕ_0/(qS) providing rational magnetic flux thro…
Quench Dynamics of Edge States in 2-D Topological Insulator Ribbons
Aavishkar A. Patel, Shraddha Sharma, Amit Dutta
We study the dynamics of edge states of the two dimensional BHZ Hamiltonian in a ribbon geometry following a sudden quench to the quantum critical point separating the topological…
Floquet generation of Majorana end modes and topological invariants
Manisha Thakurathi, Aavishkar A. Patel, Diptiman Sen +1
We show how Majorana end modes can be generated in a one-dimensional system by varying some of the parameters in the Hamiltonian periodically in time. The specific model we conside…
Role of marginality in quantum fidelity and Loschmidt echo: Dirac points in 2-D
Aavishkar A. Patel, Shraddha Sharma, Amit Dutta
We investigate the effect of marginality on the ground state fidelity and Loschmidt echo. For this purpose, we study the above quantities near the quantum critical point (QCP) of t…
Cloning of Dirac fermions in graphene superlattices
L. A. Ponomarenko, R. V. Gorbachev, G. L. Yu +15
Lateral superlattices have attracted major interest as this may allow one to modify spectra of two dimensional electron systems and, ultimately, create materials with tailored elec…
Classical and quantum magneto-oscillations of current flow near a p-n junction in graphene
Aavishkar A. Patel, Nathan Davies, Vadim Cheianov +1
The proposed semiclassical theory predicts two types of oscillations in the flow of current injected from a point source near a ballistic p-n junction in graphene in a strong magne…
Skipping and snake orbits of electrons: singularities and catastrophes
Nathan Davies, Aavishkar A. Patel, Alberto Cortijo +3
Near the sample edge, or a sharp magnetic field step the drift of two-dimensional electrons in a magnetic field has the form of skipping/snake orbits. We show that families of skip…