Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Zero energy modes in a superconductor with ferromagnetic adatom chains
  and quantum phase transitions   We study Majorana zero energy modes (MZEM) that occur in a s-wave
superconducting surface, at the ends of a ferromagnetic (FM) chain of adatoms,
in the presence of Rashba spin-orbit interaction (SOI) considering both non
self-consistent and self-consistent superconducting order. We find that in the
self-consistent solution the average superconducting gap function over the
adatom sites has a discontinuous drop with increasing exchange interaction at
the same critical value where the topological phase transition occurs. We also
study the MZEM for both treatments of superconducting order and find that the
decay length is a linear function of the exchange coupling strength, chemical
potential and superconducting order. For wider FM chains the MZEM occur at
smaller exchange couplings and the slope of the decay length as a function of
exchange coupling grows with chain width. Thus we suggest experimental
detection of different delocalization of MZEM in chains of varying widths. We
discuss similarities and differences between the MZEM for the two treatments of
the superconducting order.

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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg