Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dispersive 1D Majorana modes with emergent supersymmetry in 1D
  proximitized superconductors via spatially-modulated potentials and magnetic
  fields   In condensed matter systems, zero-dimensional or one-dimensional Majorana
modes can be realized respectively as the end and edge states of
one-dimensional and two-dimensional topological superconductors. In this
$\textit{top-down}$ approach, $(d-1)$-dimensional Majorana modes are obtained
as the boundary states of a topologically nontrivial $d$-dimensional bulk. In a
$\textit{bottom-up}$ approach instead, $d$-dimensional Majorana modes in a
$d$-dimensional system can be realized as the continuous limit of a periodic
lattice of coupled $(d-1)$-dimensional Majorana modes. We illustrate this idea
by considering one-dimensional proximitized superconductors with
spatially-modulated potential or magnetic fields. The ensuing inhomogenous
topological state exhibits one-dimensional counterpropagating Majorana modes
with finite dispersion, and with a Majorana gap which can be controlled by
external fields. In the massless case, the Majorana modes have opposite
Majorana polarizations and pseudospins, are conformally invariant, and realize
centrally extended quantum mechanical supersymmetry. The supersymmetry exhibits
spontaneous partial breaking. Consequently, the massless Majorana fermion can
be identified as a Goldstino, i.e., the Nambu-Goldstone fermion associated with
the spontaneously broken supersymmetry.

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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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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: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: stat
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The categories of this paper are: physics
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The categories of this paper are: econ