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SUMMARY:Majorana end modes: time independent and time dependent systems
DESCRIPTION:I will discuss our work on the topological phases of a p-wave
superconducting wire and Kitaev model on honeycomb lattice.
I will elaborate on some of the topological invariants which
characterize such phases.

In the first part of the talk, I will consider time-independent p-wave
superconducting wire. The topological phase diagrams and zero energy
Majorana end modes will be discussed. The effects of time-reversal
symmetry breaking will be examined.

In the second part of the talk, I will show that in p-wave
superconducting wire chemical potentials which vary periodically
in time can produce end modes even when the corresponding time-independent
system has no such end modes. I will discuss various properties of
the dynamically generated edge states that we have found numerically
and analytically using Floquet theory.
Finally, I will present a new topological invariant which
can separately predict the numbers of end modes which have Floquet
eigenvalues equal to +1 and -1.

At the end, I will discuss Kitaev model on honeycomb lattice for
time-independent and time-dependent cases. The phase diagrams
for zigzag and armchair zero energy modes will be discussed.
I will show that the driving frequencies at which Majorana edge
modes appear or disappear in this two-dimensional system can be
completely understood by mapping it to a one-dimensional system in
which the edge momentum appears as one of the parameters of the model.

References:

1) W. DeGottardi, M. Thakurathi, S. Vishveshwara and D. Sen
  Phys. Rev. B 88, 165111 (2013)

2) M. Thakurathi, A. A. Patel, D. Sen and A. Dutta
  Phys. Rev. B 88, 155133 (2013)

3) M. Thakurathi, K. Sengupta and D. Sen
  Phys. Rev. B 89, 235434 (2014)
LOCATION:Erwin Schrödinger Saal
DTSTART:20140908T100000
DTEND:20140908T110000
TZID: Europe/Vienna
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