Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Zero modes of two-dimensional chiral p-wave superconductors   We discuss fermionic zero modes in the two-dimensional chiral p-wave
superconductors. We show quite generally, that without fine-tuning, in a
macroscopic sample there is only one or zero of such Majorana-fermion modes
depending only on whether the total vorticity of the order parameter is odd or
even, respectively. As a special case of this, we find explicitly the one zero
mode localized on a single odd-vorticity vortex, and show that, in contrast,
zero modes are absent for an even-vorticity vortex. One zero mode per odd
vortex persists, within an exponential accuracy, for a collection of
well-separated vortices, shifting to finite E or -E energies as two odd
vortices approach. These results should be useful for the demonstration of the
non-Abelian statistics that such zero-mode vortices are expected to exhibit,
and for their possible application in quantum computation.

23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys