Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Majorana fermions in topological insulator nanowires: from single
  superconducting nanowires to Josephson junctions   Signatures of Majorana fermion bound states in one-dimensional topological
insulator (TI) nanowires with proximity effect induced superconductivity are
studied. The phase diagram and energy spectra are calculated for single TI
nanowires and it is shown that the nanowires can be in the topological
invariant phases of winding numbers $W=0, \pm 1$, and $\pm 2$ corresponding to
the cases with zero, one and two pairs of Majorana fermions in the single TI
nanowires. It is also shown that the topological winding numbers, i.e., the
numbers of pairs of Majorana fermions in the TI nanowires can be extracted from
the transport measurements of a Josephson junction device made from two TI
nanowires, while the sign in the winding numbers can be extracted using a
superconducting quantum interference device (SQUID) setup.

11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex